Scala analysis: xen16-mclaren-nonoctave-47-5
47th root of 5, 20.2418 tones/octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 59.283 cents 59.283271 2: 118.567 cents 118.566541 3: 177.850 cents 177.849812 4: 237.133 cents 237.133082 5: 296.416 cents 296.416353 6: 355.700 cents 355.699623 7: 414.983 cents 414.982894 8: 474.266 cents 474.266164 9: 533.549 cents 533.549435 10: 592.833 cents 592.832705 11: 652.116 cents 652.115976 12: 711.399 cents 711.399246 13: 770.683 cents 770.682517 14: 829.966 cents 829.965787 15: 889.249 cents 889.249058 16: 948.532 cents 948.532328 17: 1007.816 cents 1007.815599 18: 1067.099 cents 1067.098869 19: 1126.382 cents 1126.382140 20: 1185.665 cents 1185.665410 21: 1244.949 cents 1244.948681 22: 1304.232 cents 1304.231951 23: 1363.515 cents 1363.515222 24: 1422.798 cents 1422.798492 25: 1482.082 cents 1482.081763 26: 1541.365 cents 1541.365033 27: 1600.648 cents 1600.648304 28: 1659.932 cents 1659.931574 29: 1719.215 cents 1719.214845 30: 1778.498 cents 1778.498115 31: 1837.781 cents 1837.781386 32: 1897.065 cents 1897.064656 33: 1956.348 cents 1956.347927 34: 2015.631 cents 2015.631197 35: 2074.914 cents 2074.914468 36: 2134.198 cents 2134.197738 37: 2193.481 cents 2193.481009 38: 2252.764 cents 2252.764279 39: 2312.048 cents 2312.047550 40: 2371.331 cents 2371.330820 41: 2430.614 cents 2430.614091 42: 2489.897 cents 2489.897361 43: 2549.181 cents 2549.180632 44: 2608.464 cents 2608.463902 45: 2667.747 cents 2667.747173 46: 2727.030 cents 2727.030443 47: 5/1 2786.313714 major 17th
SHOW/INTERVAL
0: 59.2833 cents 59.2833 1: 59.2833 cents 59.2833 2: 59.2833 cents 59.2833 3: 59.2833 cents 59.2833 4: 59.2833 cents 59.2833 5: 59.2833 cents 59.2833 6: 59.2833 cents 59.2833 7: 59.2833 cents 59.2833 8: 59.2833 cents 59.2833 9: 59.2833 cents 59.2833 10: 59.2833 cents 59.2833 11: 59.2833 cents 59.2833 12: 59.2833 cents 59.2833 13: 59.2833 cents 59.2833 14: 59.2833 cents 59.2833 15: 59.2833 cents 59.2833 16: 59.2833 cents 59.2833 17: 59.2833 cents 59.2833 18: 59.2833 cents 59.2833 19: 59.2833 cents 59.2833 20: 59.2833 cents 59.2833 21: 59.2833 cents 59.2833 22: 59.2833 cents 59.2833 23: 59.2833 cents 59.2833 24: 59.2833 cents 59.2833 25: 59.2833 cents 59.2833 26: 59.2833 cents 59.2833 27: 59.2833 cents 59.2833 28: 59.2833 cents 59.2833 29: 59.2833 cents 59.2833 30: 59.2833 cents 59.2833 31: 59.2833 cents 59.2833 32: 59.2833 cents 59.2833 33: 59.2833 cents 59.2833 34: 59.2833 cents 59.2833 35: 59.2833 cents 59.2833 36: 59.2833 cents 59.2833 37: 59.2833 cents 59.2833 38: 59.2833 cents 59.2833 39: 59.2833 cents 59.2833 40: 59.2833 cents 59.2833 41: 59.2833 cents 59.2833 42: 59.2833 cents 59.2833 43: 59.2833 cents 59.2833 44: 59.2833 cents 59.2833 45: 59.2833 cents 59.2833 46: 59.2833 cents 59.2833 47: 59.2833 cents 59.2833
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 47 59.28327 cents 2: 47 118.56654 cents 3: 47 177.84981 cents 4: 47 237.13308 cents 5: 47 296.41635 cents 6: 47 355.69962 cents 7: 47 414.98289 cents 8: 47 474.26616 cents 9: 47 533.54943 cents 10: 47 592.83271 cents 11: 47 652.11598 cents 12: 47 711.39925 cents 13: 47 770.68252 cents 14: 47 829.96579 cents 15: 47 889.24906 cents 16: 47 948.53233 cents 17: 47 1007.81560 cents 18: 47 1067.09887 cents 19: 47 1126.38214 cents 20: 47 1185.66541 cents 21: 47 1244.94868 cents 22: 47 1304.23195 cents 23: 47 1363.51522 cents 24: 47 1422.79849 cents 25: 47 1482.08176 cents 26: 47 1541.36503 cents 27: 47 1600.64830 cents 28: 47 1659.93157 cents 29: 47 1719.21484 cents 30: 47 1778.49812 cents 31: 47 1837.78139 cents 32: 47 1897.06466 cents 33: 47 1956.34793 cents 34: 47 2015.63120 cents 35: 47 2074.91447 cents 36: 47 2134.19774 cents 37: 47 2193.48101 cents 38: 47 2252.76428 cents 39: 47 2312.04755 cents 40: 47 2371.33082 cents 41: 47 2430.61409 cents 42: 47 2489.89736 cents 43: 47 2549.18063 cents 44: 47 2608.46390 cents 45: 47 2667.74717 cents 46: 47 2727.03044 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0.0 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 59.3 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 118.6 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 177.8 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 237.1 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 296.4 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 355.7 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 415.0 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 474.3 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 533.5 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 592.8 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 652.1 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 711.4 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 770.7 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 830.0 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 889.2 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 948.5 : 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1007.8: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1067.1: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1126.4: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1185.7: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1244.9: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1304.2: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1363.5: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1422.8: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1482.1: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1541.4: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1600.6: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1659.9: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1719.2: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1778.5: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1837.8: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1897.1: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 1956.3: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2015.6: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2074.9: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2134.2: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2193.5: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2252.8: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2312.0: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2371.3: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2430.6: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2489.9: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2549.2: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2608.5: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2667.7: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2727.0: 59.3 118.6 177.8 237.1 296.4 355.7 415.0 474.3 533.5 592.8 652.1 711.4 770.7 830.0 889.2 948.5 1007.8 1067.1 1126.4 1185.7 1244.9 1304.2 1363.5 1422.8 1482.1 1541.4 1600.6 1659.9 1719.2 1778.5 1837.8 1897.1 1956.3 2015.6 2074.9 2134.2 2193.5 2252.8 2312.0 2371.3 2430.6 2489.9 2549.2 2608.5 2667.7 2727.0 2786.3 2786.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 59.2833 .. 59.2833 cents 1/1, 0.0000 cents 59.28327 cents 2: 118.5665 .. 118.5665 cents 1/1, 0.0000 cents 59.28327 cents 3: 177.8498 .. 177.8498 cents 1/1, 0.0000 cents 59.28327 cents 4: 237.1331 .. 237.1331 cents 1/1, 0.0000 cents 59.28327 cents 5: 296.4164 .. 296.4164 cents 1/1, 0.0000 cents 59.28327 cents 6: 355.6996 .. 355.6996 cents 1/1, 0.0000 cents 59.28327 cents 7: 414.9829 .. 414.9829 cents 1/1, 0.0000 cents 59.28327 cents 8: 474.2662 .. 474.2662 cents 1/1, 0.0000 cents 59.28327 cents 9: 533.5494 .. 533.5494 cents 1/1, 0.0000 cents 59.28327 cents 10: 592.8327 .. 592.8327 cents 1/1, 0.0000 cents 59.28327 cents 11: 652.1160 .. 652.1160 cents 1/1, 0.0000 cents 59.28327 cents 12: 711.3992 .. 711.3992 cents 1/1, 0.0000 cents 59.28327 cents 13: 770.6825 .. 770.6825 cents 1/1, 0.0000 cents 59.28327 cents 14: 829.9658 .. 829.9658 cents 1/1, 0.0000 cents 59.28327 cents 15: 889.2491 .. 889.2491 cents 1/1, 0.0000 cents 59.28327 cents 16: 948.5323 .. 948.5323 cents 1/1, 0.0000 cents 59.28327 cents 17: 1007.8156 .. 1007.8156 cents 1/1, 0.0000 cents 59.28327 cents 18: 1067.0989 .. 1067.0989 cents 1/1, 0.0000 cents 59.28327 cents 19: 1126.3821 .. 1126.3821 cents 1/1, 0.0000 cents 59.28327 cents 20: 1185.6654 .. 1185.6654 cents 1/1, 0.0000 cents 59.28327 cents 21: 1244.9487 .. 1244.9487 cents 1/1, 0.0000 cents 59.28327 cents 22: 1304.2320 .. 1304.2320 cents 1/1, 0.0000 cents 59.28327 cents 23: 1363.5152 .. 1363.5152 cents 1/1, 0.0000 cents 59.28327 cents 24: 1422.7985 .. 1422.7985 cents 1/1, 0.0000 cents 59.28327 cents 25: 1482.0818 .. 1482.0818 cents 1/1, 0.0000 cents 59.28327 cents 26: 1541.3650 .. 1541.3650 cents 1/1, 0.0000 cents 59.28327 cents 27: 1600.6483 .. 1600.6483 cents 1/1, 0.0000 cents 59.28327 cents 28: 1659.9316 .. 1659.9316 cents 1/1, 0.0000 cents 59.28327 cents 29: 1719.2148 .. 1719.2148 cents 1/1, 0.0000 cents 59.28327 cents 30: 1778.4981 .. 1778.4981 cents 1/1, 0.0000 cents 59.28327 cents 31: 1837.7814 .. 1837.7814 cents 1/1, 0.0000 cents 59.28327 cents 32: 1897.0647 .. 1897.0647 cents 1/1, 0.0000 cents 59.28327 cents 33: 1956.3479 .. 1956.3479 cents 1/1, 0.0000 cents 59.28327 cents 34: 2015.6312 .. 2015.6312 cents 1/1, 0.0000 cents 59.28327 cents 35: 2074.9145 .. 2074.9145 cents 1/1, 0.0000 cents 59.28327 cents 36: 2134.1977 .. 2134.1977 cents 1/1, 0.0000 cents 59.28327 cents 37: 2193.4810 .. 2193.4810 cents 1/1, 0.0000 cents 59.28327 cents 38: 2252.7643 .. 2252.7643 cents 1/1, 0.0000 cents 59.28327 cents 39: 2312.0475 .. 2312.0475 cents 1/1, 0.0000 cents 59.28327 cents 40: 2371.3308 .. 2371.3308 cents 1/1, 0.0000 cents 59.28327 cents 41: 2430.6141 .. 2430.6141 cents 1/1, 0.0000 cents 59.28327 cents 42: 2489.8974 .. 2489.8974 cents 1/1, 0.0000 cents 59.28327 cents 43: 2549.1806 .. 2549.1806 cents 1/1, 0.0000 cents 59.28327 cents 44: 2608.4639 .. 2608.4639 cents 1/1, 0.0000 cents 59.28327 cents 45: 2667.7472 .. 2667.7472 cents 1/1, 0.0000 cents 59.28327 cents 46: 2727.0304 .. 2727.0304 cents 1/1, 0.0000 cents 59.28327 cents
SHOW DATA
Number of notes : 47 -- Interval properties -- Smallest interval : 59.28327 cents, class 1 Average step (divided formal octave): 59.2833 cents Largest one step interval : 59.28327 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 59.28327 cents, amount: 47 Most common interval of one step : 59.28327 cents, amount: 47 Least squares average step : 59.28327 cents, oct.: 2786.31371 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 59.28327 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.021277 redundancy: 0.978723 Efficiency x scale size : 1.000000 Number of different interval sizes : 46 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 47, average 711.3992 cents Number of recognisable fourths : 0 Scale contains two identical disjunct "tetrachords" of 9 notes Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties -- Prime limit : 5 (not all pitches rational)
FIT/MODE
47: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 .. 5 match: 4 H SD: 8.1060 cents 2 .. 10 match: 8 H SD: 5.5546 cents 3 .. 15 match: 12 H SD: 4.1951 cents 4 .. 20 match: 16 H SD: 5.0726 cents 5 .. 25 match: 20 H SD: 3.3554 cents 6 .. 30 match: 24 H SD: 3.4470 cents 7 .. 35 match: 27 SD: 3.3977 cents 8 .. 40 match: 30 SD: 3.3746 cents 9 .. 45 match: 33 SD: 2.2932 cents 10 .. 50 match: 35 SD: 2.3051 cents 11 .. 55 match: 37 SD: 2.2502 cents 12 .. 60 match: 38 SD: 2.6051 cents 13 .. 65 match: 40 SD: 2.2595 cents 14 .. 70 match: 41 SD: 1.9203 cents 15 .. 75 match: 42 SD: 1.8832 cents 16 .. 80 match: 43 SD: 1.9534 cents 17 .. 85 match: 43 SD: 2.2540 cents 18 .. 90 match: 44 SD: 1.8336 cents 19 .. 95 match: 45 SD: 1.7384 cents 20 .. 100 match: 45 SD: 1.7908 cents 21 .. 105 match: 46 SD: 1.8054 cents 22 .. 110 match: 46 SD: 1.5317 cents 23 .. 115 match: 46 SD: 1.7363 cents 24 .. 120 match: 46 SD: 1.9270 cents 25 .. 125 match: 47 SD: 1.3737 cents 26 .. 130 match: 47 SD: 1.2944 cents 28 .. 140 match: 47 SD: 1.2771 cents 33 .. 165 match: 47 SD: 1.1889 cents 34 .. 170 match: 47 SD: 1.0396 cents 37 .. 185 match: 47 SD: 1.0273 cents 39 .. 195 match: 47 SD: 0.8819 cents 44 .. 220 match: 47 SD: 0.8523 cents 47 .. 235 match: 47 SD: 0.7933 cents 48 .. 240 match: 47 SD: 0.7222 cents 53 .. 265 match: 47 SD: 0.6802 cents 54 .. 270 match: 47 SD: 0.6551 cents 55 .. 275 match: 47 SD: 0.5969 cents 63 .. 315 match: 47 SD: 0.5804 cents 66 .. 330 match: 47 SD: 0.5472 cents 70 .. 350 match: 47 SD: 0.5222 cents 73 .. 365 match: 47 SD: 0.4852 cents 75 .. 375 match: 47 SD: 0.4708 cents 80 .. 400 match: 47 SD: 0.4566 cents 81 .. 405 match: 47 SD: 0.4323 cents 85 .. 425 match: 47 SD: 0.4224 cents 86 .. 430 match: 47 SD: 0.4095 cents 89 .. 445 match: 47 SD: 0.4095 cents 95 .. 475 match: 47 SD: 0.3909 cents 96 .. 480 match: 47 SD: 0.3352 cents 110 .. 550 match: 47 SD: 0.2988 cents 114 .. 570 match: 47 SD: 0.2849 cents 122 .. 610 match: 47 SD: 0.2707 cents 130 .. 650 match: 47 SD: 0.2573 cents 136 .. 680 match: 47 SD: 0.2531 cents 140 .. 700 match: 47 SD: 0.2475 cents 144 .. 720 match: 47 SD: 0.2339 cents 155 .. 775 match: 47 SD: 0.2147 cents 166 .. 830 match: 47 SD: 0.1952 cents 171 .. 855 match: 47 SD: 0.1830 cents 177 .. 885 match: 47 SD: 0.1766 cents 197 .. 985 match: 47 SD: 0.1691 cents 203 .. 1015 match: 47 SD: 0.1485 cents 225 .. 1125 match: 47 SD: 0.1346 cents 232 .. 1160 match: 47 SD: 0.1313 cents 252 .. 1260 match: 47 SD: 0.1273 cents 258 .. 1290 match: 47 SD: 0.1218 cents 280 .. 1400 match: 47 SD: 0.1157 cents 285 .. 1425 match: 47 SD: 0.1107 cents 299 .. 1495 match: 47 SD: 0.1058 cents 311 .. 1555 match: 47 SD: 0.1051 cents 314 .. 1570 match: 47 SD: 0.1043 cents 321 .. 1605 match: 47 SD: 0.1037 cents 343 .. 1715 match: 47 SD: 0.0950 cents 368 .. 1840 match: 47 SD: 0.0907 cents 369 .. 1845 match: 47 SD: 0.0855 cents 380 .. 1900 match: 47 SD: 0.0779 cents 429 .. 2145 match: 47 SD: 0.0760 cents 435 .. 2175 match: 47 SD: 0.0712 cents 491 .. 2455 match: 47 SD: 0.0695 cents 492 .. 2460 match: 47 SD: 0.0622 cents 546 .. 2730 match: 47 SD: 0.0607 cents 551 .. 2755 match: 47 SD: 0.0539 cents