Scala analysis: xen07-chalmers-two-ninth-comma
19 of 2/9 Comma
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 80.200 cents 80.200000 2: 114.100 cents 114.100000 3: 194.400 cents 194.400000 4: 274.600 cents 274.600000 5: 308.500 cents 308.500000 6: 388.700 cents 388.700000 7: 468.900 cents 468.900000 8: 502.800 cents 502.800000 9: 583.100 cents 583.100000 10: 616.900 cents 616.900000 11: 697.200 cents 697.200000 12: 777.400 cents 777.400000 13: 811.300 cents 811.300000 14: 891.500 cents 891.500000 15: 971.800 cents 971.800000 16: 1005.600 cents 1005.600000 17: 1085.900 cents 1085.900000 18: 1166.100 cents 1166.100000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 33.9000 cents 33.9000 1: 80.2000 cents 80.2000 2: 33.9000 cents 33.9000 3: 80.3000 cents 80.3000 4: 80.2000 cents 80.2000 5: 33.9000 cents 33.9000 6: 80.2000 cents 80.2000 7: 80.2000 cents 80.2000 8: 33.9000 cents 33.9000 9: 80.3000 cents 80.3000 10: 33.8000 cents 33.8000 11: 80.3000 cents 80.3000 12: 80.2000 cents 80.2000 13: 33.9000 cents 33.9000 14: 80.2000 cents 80.2000 15: 80.3000 cents 80.3000 16: 33.8000 cents 33.8000 17: 80.3000 cents 80.3000 18: 80.2000 cents 80.2000 19: 33.9000 cents 33.9000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 33.80000 cents 1: 5 33.90000 cents 1: 7 80.20000 cents 1: 5 80.30000 cents 2: 12 114.10000 cents 2: 2 114.20000 cents 2: 1 160.40000 cents 2: 4 160.50000 cents 3: 2 148.00000 cents 3: 8 194.30000 cents 3: 9 194.40000 cents 4: 6 228.20000 cents 4: 3 228.30000 cents 4: 1 274.50000 cents 4: 9 274.60000 cents 5: 5 308.40000 cents 5: 11 308.50000 cents 5: 2 354.80000 cents 5: 1 354.90000 cents 6: 2 342.30000 cents 6: 2 342.40000 cents 6: 14 388.70000 cents 6: 1 388.80000 cents 7: 2 422.50000 cents 7: 9 422.60000 cents 7: 4 468.90000 cents 7: 4 469.00000 cents 8: 14 502.80000 cents 8: 4 502.90000 cents 8: 1 549.20000 cents 9: 6 536.70000 cents 9: 5 583.00000 cents 9: 8 583.10000 cents 10: 8 616.90000 cents 10: 5 617.00000 cents 10: 6 663.30000 cents 11: 1 650.80000 cents 11: 4 697.10000 cents 11: 14 697.20000 cents 12: 4 731.00000 cents 12: 4 731.10000 cents 12: 9 777.40000 cents 12: 2 777.50000 cents 13: 1 811.20000 cents 13: 14 811.30000 cents 13: 2 857.60000 cents 13: 2 857.70000 cents 14: 1 845.10000 cents 14: 2 845.20000 cents 14: 11 891.50000 cents 14: 5 891.60000 cents 15: 9 925.40000 cents 15: 1 925.50000 cents 15: 3 971.70000 cents 15: 6 971.80000 cents 16: 9 1005.60000 cents 16: 8 1005.70000 cents 16: 2 1052.00000 cents 17: 4 1039.50000 cents 17: 1 1039.60000 cents 17: 2 1085.80000 cents 17: 12 1085.90000 cents 18: 5 1119.70000 cents 18: 7 1119.80000 cents 18: 5 1166.10000 cents 18: 2 1166.20000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.66667 = 11/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0.0 : 80.2 114.1 194.4 274.6 308.5 388.7 468.9 502.8 583.1 616.9 697.2 777.4 811.3 891.5 971.8 1005.6 1085.9 1166.1 1200.0 80.2 : 33.9 114.2 194.4 228.3 308.5 388.7 422.6 502.9 536.7 617.0 697.2 731.1 811.3 891.6 925.4 1005.7 1085.9 1119.8 1200.0 114.1 : 80.3 160.5 194.4 274.6 354.8 388.7 469.0 502.8 583.1 663.3 697.2 777.4 857.7 891.5 971.8 1052.0 1085.9 1166.1 1200.0 194.4 : 80.2 114.1 194.3 274.5 308.4 388.7 422.5 502.8 583.0 616.9 697.1 777.4 811.2 891.5 971.7 1005.6 1085.8 1119.7 1200.0 274.6 : 33.9 114.1 194.3 228.2 308.5 342.3 422.6 502.8 536.7 616.9 697.2 731.0 811.3 891.5 925.4 1005.6 1039.5 1119.8 1200.0 308.5 : 80.2 160.4 194.3 274.6 308.4 388.7 468.9 502.8 583.0 663.3 697.1 777.4 857.6 891.5 971.7 1005.6 1085.9 1166.1 1200.0 388.7 : 80.2 114.1 194.4 228.2 308.5 388.7 422.6 502.8 583.1 616.9 697.2 777.4 811.3 891.5 925.4 1005.7 1085.9 1119.8 1200.0 468.9 : 33.9 114.2 148.0 228.3 308.5 342.4 422.6 502.9 536.7 617.0 697.2 731.1 811.3 845.2 925.5 1005.7 1039.6 1119.8 1200.0 502.8 : 80.3 114.1 194.4 274.6 308.5 388.7 469.0 502.8 583.1 663.3 697.2 777.4 811.3 891.6 971.8 1005.7 1085.9 1166.1 1200.0 583.1 : 33.8 114.1 194.3 228.2 308.4 388.7 422.5 502.8 583.0 616.9 697.1 731.0 811.3 891.5 925.4 1005.6 1085.8 1119.7 1200.0 616.9 : 80.3 160.5 194.4 274.6 354.9 388.7 469.0 549.2 583.1 663.3 697.2 777.5 857.7 891.6 971.8 1052.0 1085.9 1166.2 1200.0 697.2 : 80.2 114.1 194.3 274.6 308.4 388.7 468.9 502.8 583.0 616.9 697.2 777.4 811.3 891.5 971.7 1005.6 1085.9 1119.7 1200.0 777.4 : 33.9 114.1 194.4 228.2 308.5 388.7 422.6 502.8 536.7 617.0 697.2 731.1 811.3 891.5 925.4 1005.7 1039.5 1119.8 1200.0 811.3 : 80.2 160.5 194.3 274.6 354.8 388.7 468.9 502.8 583.1 663.3 697.2 777.4 857.6 891.5 971.8 1005.6 1085.9 1166.1 1200.0 891.5 : 80.3 114.1 194.4 274.6 308.5 388.7 422.6 502.9 583.1 617.0 697.2 777.4 811.3 891.6 925.4 1005.7 1085.9 1119.8 1200.0 971.8 : 33.8 114.1 194.3 228.2 308.4 342.3 422.6 502.8 536.7 616.9 697.1 731.0 811.3 845.1 925.4 1005.6 1039.5 1119.7 1200.0 1005.6: 80.3 160.5 194.4 274.6 308.5 388.8 469.0 502.9 583.1 663.3 697.2 777.5 811.3 891.6 971.8 1005.7 1085.9 1166.2 1200.0 1085.9: 80.2 114.1 194.3 228.2 308.5 388.7 422.6 502.8 583.0 616.9 697.2 731.0 811.3 891.5 925.4 1005.6 1085.9 1119.7 1200.0 1166.1: 33.9 114.1 148.0 228.3 308.5 342.4 422.6 502.8 536.7 617.0 650.8 731.1 811.3 845.2 925.4 1005.7 1039.5 1119.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 33.8000 .. 80.3000 cents 46.50000 cents 33.80000 cents 2: 114.1000 .. 160.5000 cents 46.40000 cents 33.80000 cents 3: 148.0000 .. 194.4000 cents 46.40000 cents -12.50000 cents 4: 228.2000 .. 274.6000 cents 46.40000 cents 33.80000 cents 5: 308.4000 .. 354.9000 cents 46.50000 cents 33.80000 cents 6: 342.3000 .. 388.8000 cents 46.50000 cents -12.60000 cents 7: 422.5000 .. 469.0000 cents 46.50000 cents 33.70000 cents 8: 502.8000 .. 549.2000 cents 46.40000 cents 33.80000 cents 9: 536.7000 .. 583.1000 cents 46.40000 cents -12.50000 cents 10: 616.9000 .. 663.3000 cents 46.40000 cents 33.80000 cents 11: 650.8000 .. 697.2000 cents 46.40000 cents -12.50000 cents 12: 731.0000 .. 777.5000 cents 46.50000 cents 33.80000 cents 13: 811.2000 .. 857.7000 cents 46.50000 cents 33.70000 cents 14: 845.1000 .. 891.6000 cents 46.50000 cents -12.60000 cents 15: 925.4000 .. 971.8000 cents 46.40000 cents 33.80000 cents 16: 1005.6000 .. 1052.0000 cents 46.40000 cents 33.80000 cents 17: 1039.5000 .. 1085.9000 cents 46.40000 cents -12.50000 cents 18: 1119.7000 .. 1166.2000 cents 46.50000 cents 33.80000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 33.80000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 80.30000 cents Average / Smallest step : 1.868577 Largest / Average step : 1.271417 Largest / Smallest step : 2.375740 Median interval of one step : 80.20000 cents, amount: 7 Most common interval of one step : 80.20000 cents, amount: 7 Least squares average step : 63.77688 cents, oct.: 1211.76077 cents Scale is not proper Step pattern alph. order: ABCABAABCDCABACDCAB Step pattern size order : CBDCBCCBDADCBCDADCB Scale is a Constant Structure, by a margin of 12.40000 cents Scale diversity : 1.197907 Lumma stability : 0.366000 Lumma impropriety factor : 0.062667 Number of different interval sizes : 66 = 3.66667 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.66667 = 11/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Number of recognisable fifths : 18, average 697.1778 cents Best minor thirds form a closed circle Formal octave complements present : 13 = 68.4211% Limited inverse transpositions : 9 Inversional symmetry on degrees : 14 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 15.2366 c. M: 29.2579 c. 23: 2 0 2 1 1 1 2 1 1 1 1 2 1 1 2 0 2 1 1 N D3 SD: 14.7663 c. M:-24.1478 c. 25: 2 0 2 2 0 2 2 0 2 1 2 1 1 2 1 1 2 1 1 N D3 SD: 13.8995 c. M:-22.8000 c. 26: 2 0 2 2 1 1 2 1 2 0 2 2 1 1 2 1 2 1 1 N T3 SD: 13.2951 c. M: 21.7923 c. 27: 2 1 1 2 1 2 2 0 2 1 2 1 1 2 2 1 1 2 1 N D3 SD: 12.9111 c. M: 21.8444 c. 29: 2 1 2 2 0 2 2 1 2 1 2 2 1 2 1 1 2 2 1 N D3 SD: 12.1819 c. M: 20.0759 c. 30: 2 1 2 2 1 2 2 1 2 0 2 2 1 2 2 1 2 2 1 N T3 SD: 11.3479 c. M: 17.4000 c. 31: 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 P M ME S SD: 2.5135 c. M: 4.8097 c. 74: 5 2 5 5 2 5 5 2 5 2 5 5 2 5 5 2 5 5 2 N M DE S SD: 0.7540 c. M:-1.4676 c. 105: 7 3 7 7 3 7 7 3 7 3 7 7 3 7 7 3 7 7 3 N M DE S SD: 0.2131 c. M: 0.3857 c. 179: 12 5 12 12 5 12 12 5 12 5 12 12 5 12 12 5 12 12 5 N M DE S SD: 0.1899 c. M:-0.3804 c. 284: 19 8 19 19 8 19 19 8 19 8 19 19 8 19 19 8 19 19 8 N M DE S SD: 0.0497 c. M:-0.1141 c. 389: 26 11 26 26 11 26 26 11 26 11 26 26 11 26 26 11 26 26 11 N M DE S SD: 0.0401 c. M: 0.0776 c. 673: 45 19 45 45 19 45 45 19 45 19 45 45 19 45 45 19 45 45 19 N M DE S SD: 0.0291 c. M: 0.0464 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.3775 cents 3 .. 6 match: 3 H SD: 2.8598 cents 4 .. 8 match: 4 H SD: 1.5238 cents 5 .. 10 match: 5 H SD: 2.8351 cents 6 .. 12 match: 6 H SD: 6.4354 cents 7 .. 14 match: 7 H SD: 9.2793 cents 8 .. 16 match: 8 H SD: 5.5868 cents 9 .. 18 match: 9 H SD: 5.6610 cents 10 .. 20 match: 10 H SD: 5.1769 cents 11 .. 22 match: 11 H SD: 8.7572 cents 12 .. 24 match: 11 S SD: 4.5865 cents 13 .. 26 match: 12 S SD: 6.6546 cents 14 .. 28 match: 13 SD: 5.9997 cents 15 .. 30 match: 14 S SD: 4.1590 cents 16 .. 32 match: 16 H SD: 3.7409 cents 17 .. 34 match: 14 SD: 4.6288 cents 18 .. 36 match: 16 S SD: 4.3139 cents 19 .. 38 match: 15 SD: 4.0048 cents 20 .. 40 match: 18 SD: 3.8739 cents 21 .. 42 match: 16 SD: 4.0900 cents 22 .. 44 match: 15 SD: 4.3913 cents 23 .. 46 match: 18 SD: 3.1469 cents 24 .. 48 match: 17 SD: 2.9127 cents 25 .. 50 match: 18 SD: 2.5961 cents 26 .. 52 match: 18 SD: 3.3381 cents 27 .. 54 match: 18 SD: 2.8904 cents 28 .. 56 match: 17 SD: 2.2886 cents 29 .. 58 match: 18 SD: 3.0541 cents 30 .. 60 match: 19 SD: 2.5343 cents 31 .. 62 match: 18 SD: 2.9899 cents 32 .. 64 match: 17 SD: 1.7912 cents 33 .. 66 match: 17 SD: 2.0959 cents 34 .. 68 match: 17 SD: 2.6918 cents 35 .. 70 match: 18 SD: 1.9976 cents 36 .. 72 match: 18 SD: 2.2258 cents 37 .. 74 match: 18 SD: 2.4277 cents 38 .. 76 match: 18 SD: 2.5398 cents 39 .. 78 match: 19 SD: 2.1079 cents 40 .. 80 match: 19 SD: 1.7867 cents 42 .. 84 match: 19 SD: 1.3872 cents 57 .. 114 match: 19 SD: 1.2143 cents 60 .. 120 match: 19 SD: 1.0860 cents 70 .. 140 match: 19 SD: 1.0675 cents 75 .. 150 match: 19 SD: 1.0587 cents 76 .. 152 match: 19 SD: 1.0392 cents 77 .. 154 match: 19 SD: 0.7988 cents 87 .. 174 match: 19 SD: 0.7521 cents 99 .. 198 match: 19 SD: 0.7487 cents 100 .. 200 match: 19 SD: 0.7307 cents 102 .. 204 match: 19 SD: 0.7093 cents 103 .. 206 match: 19 SD: 0.6076 cents 119 .. 238 match: 19 SD: 0.6004 cents 127 .. 254 match: 19 SD: 0.5299 cents 134 .. 268 match: 19 SD: 0.5225 cents 145 .. 290 match: 19 SD: 0.4620 cents 150 .. 300 match: 19 SD: 0.4423 cents 163 .. 326 match: 19 SD: 0.4349 cents 174 .. 348 match: 19 SD: 0.3983 cents 175 .. 350 match: 19 SD: 0.3398 cents 187 .. 374 match: 19 SD: 0.3180 cents 210 .. 420 match: 19 SD: 0.2886 cents 234 .. 468 match: 19 SD: 0.2543 cents 250 .. 500 match: 19 SD: 0.2375 cents 297 .. 594 match: 19 SD: 0.2257 cents 309 .. 618 match: 19 SD: 0.2184 cents 321 .. 642 match: 19 SD: 0.2145 cents 335 .. 670 match: 19 SD: 0.2124 cents 337 .. 674 match: 19 SD: 0.1690 cents 353 .. 706 match: 19 SD: 0.1479 cents 385 .. 770 match: 19 SD: 0.1463 cents 395 .. 790 match: 19 SD: 0.1455 cents 425 .. 850 match: 19 SD: 0.1453 cents 437 .. 874 match: 19 SD: 0.1297 cents 472 .. 944 match: 19 SD: 0.1276 cents 512 .. 1024 match: 19 SD: 0.1192 cents 547 .. 1094 match: 19 SD: 0.1082 cents 589 .. 1178 match: 19 SD: 0.1015 cents