Scala analysis: PHITER-revised
golden 12 tone a*cd*f*hi*k*mn>O<pq* note 1299.072 added
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 198.542 cents 198.542000 2: 297.813 cents 297.813000 3: 465.981 cents 465.981000 4: 664.523 cents 664.523000 5: 763.794 cents 763.794000 6: 932.162 cents 932.162000 7: 1130.704 cents 1130.704000 8: 1229.975 cents 1229.975000 9: 1299.072 cents 1299.072000 10: 1398.343 cents 1398.343000 11: 1497.614 cents 1497.614000 12: 1665.982 cents 1665.982000
SHOW/INTERVAL
0: 168.3680 cents 168.3680 1: 198.5420 cents 198.5420 2: 99.2710 cents 99.2710 3: 168.1680 cents 168.1680 4: 198.5420 cents 198.5420 5: 99.2710 cents 99.2710 6: 168.3680 cents 168.3680 7: 198.5420 cents 198.5420 8: 99.2710 cents 99.2710 9: 69.0970 cents 69.0970 10: 99.2710 cents 99.2710 11: 99.2710 cents 99.2710 12: 168.3680 cents 168.3680
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.09700 cents 1: 5 99.27100 cents 1: 1 168.16800 cents 1: 2 168.36800 cents 1: 3 198.54200 cents 2: 2 168.36800 cents 2: 1 198.54200 cents 2: 1 267.43900 cents 2: 2 267.63900 cents 2: 3 297.81300 cents 2: 1 366.71000 cents 2: 2 366.91000 cents 3: 2 267.63900 cents 3: 2 366.91000 cents 3: 3 465.98100 cents 3: 5 466.18100 cents 4: 1 366.91000 cents 4: 1 436.00700 cents 4: 1 466.18100 cents 4: 1 535.27800 cents 4: 1 565.25200 cents 4: 3 565.45200 cents 4: 2 634.34900 cents 4: 1 664.52300 cents 4: 1 664.72300 cents 5: 1 535.27800 cents 5: 1 565.45200 cents 5: 3 634.54900 cents 5: 1 664.72300 cents 5: 2 733.62000 cents 5: 1 763.79400 cents 5: 1 763.99400 cents 5: 2 832.89100 cents 6: 5 733.82000 cents 6: 1 832.89100 cents 6: 1 833.09100 cents 6: 5 932.16200 cents 7: 2 833.09100 cents 7: 1 901.98800 cents 7: 1 902.18800 cents 7: 2 932.36200 cents 7: 1 1001.25900 cents 7: 3 1031.43300 cents 7: 1 1100.53000 cents 7: 1 1130.70400 cents 8: 1 1001.25900 cents 8: 1 1001.45900 cents 8: 2 1031.63300 cents 8: 3 1100.53000 cents 8: 1 1100.73000 cents 8: 1 1130.70400 cents 8: 1 1199.80100 cents 8: 1 1229.97500 cents 8: 1 1299.07200 cents 9: 5 1199.80100 cents 9: 3 1200.00100 cents 9: 2 1299.07200 cents 9: 2 1398.34300 cents 10: 2 1299.07200 cents 10: 1 1299.27200 cents 10: 3 1368.16900 cents 10: 2 1398.34300 cents 10: 1 1398.54300 cents 10: 1 1467.44000 cents 10: 2 1497.61400 cents 11: 3 1467.44000 cents 11: 2 1497.61400 cents 11: 1 1497.81400 cents 11: 5 1566.71100 cents 11: 1 1596.88500 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 6.36364 = 70/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 198.5 297.8 466.0 664.5 763.8 932.2 1130.7 1230.0 1299.1 1398.3 1497.6 1666.0 198.5 : 99.3 267.4 466.0 565.3 733.6 932.2 1031.4 1100.5 1199.8 1299.1 1467.4 1666.0 297.8 : 168.2 366.7 466.0 634.3 832.9 932.2 1001.3 1100.5 1199.8 1368.2 1566.7 1666.0 466.0 : 198.5 297.8 466.2 664.7 764.0 833.1 932.4 1031.6 1200.0 1398.5 1497.8 1666.0 664.5 : 99.3 267.6 466.2 565.5 634.5 733.8 833.1 1001.5 1200.0 1299.3 1467.4 1666.0 763.8 : 168.4 366.9 466.2 535.3 634.5 733.8 902.2 1100.7 1200.0 1368.2 1566.7 1666.0 932.2 : 198.5 297.8 366.9 466.2 565.5 733.8 932.4 1031.6 1199.8 1398.3 1497.6 1666.0 1130.7: 99.3 168.4 267.6 366.9 535.3 733.8 833.1 1001.3 1199.8 1299.1 1467.4 1666.0 1230.0: 69.1 168.4 267.6 436.0 634.5 733.8 902.0 1100.5 1199.8 1368.2 1566.7 1666.0 1299.1: 99.3 198.5 366.9 565.5 664.7 832.9 1031.4 1130.7 1299.1 1497.6 1596.9 1666.0 1398.3: 99.3 267.6 466.2 565.5 733.6 932.2 1031.4 1199.8 1398.3 1497.6 1566.7 1666.0 1497.6: 168.4 366.9 466.2 634.3 832.9 932.2 1100.5 1299.1 1398.3 1467.4 1566.7 1666.0 1666.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.0970 .. 198.5420 cents 129.44500 cents 69.09700 cents 2: 168.3680 .. 366.9100 cents 198.54200 cents -30.17400 cents 3: 267.6390 .. 466.1810 cents 198.54200 cents -99.27100 cents 4: 366.9100 .. 664.7230 cents 297.81300 cents -99.27100 cents 5: 535.2780 .. 832.8910 cents 297.61300 cents -129.44500 cents 6: 733.8200 .. 932.1620 cents 198.34200 cents -99.07100 cents 7: 833.0910 .. 1130.7040 cents 297.61300 cents -99.07100 cents 8: 1001.2590 .. 1299.0720 cents 297.81300 cents -129.44500 cents 9: 1199.8010 .. 1398.3430 cents 198.54200 cents -99.27100 cents 10: 1299.0720 .. 1497.6140 cents 198.54200 cents -99.27100 cents 11: 1467.4400 .. 1596.8850 cents 129.44500 cents -30.17400 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 69.09700 cents, class 1 Average step (divided formal octave): 138.8318 cents Largest one step interval : 198.54200 cents Average / Smallest step : 2.009231 Largest / Average step : 1.430090 Largest / Smallest step : 2.873381 Median interval of one step : 133.71950 cents, amount: 0 Most common interval of one step : 99.27100 cents, amount: 5 Least squares average step : 144.85768 cents, oct.: 1738.29210 cents Scale is not proper Step pattern alph. order: ABCABDABEBBD Step pattern size order : EBCEBDEBABBD Scale is not a Constant Structure Scale diversity : 0.612259 Lumma stability : 0.082950 Lumma impropriety factor : 0.548904 Rothenberg efficiency : 0.291552 redundancy: 0.708448 Efficiency x scale size : 3.498629 Number of different interval sizes : 50 = 4.54545 / class Number of one step interval sizes : 5 Highest interval variety : 9 Mean interval variety : 6.36364 = 70/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 0.20000 cents Most common intervals : 466.18100 cents & inv., amount: 6 Most common triad is 0.0 466.181 1199.801 cents, amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 8.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
12: 1 1 1 2 0 2 1 1 0 1 1 1 N T3 SD: 38.6595 c. M: 69.6348 c. 13: 2 0 2 1 1 1 2 1 0 1 1 1 N SD: 34.4976 c. M:-57.7629 c. 15: 2 1 1 2 1 1 2 1 1 1 0 2 N SD: 30.1977 c. M: 53.7629 c. 16: 2 1 1 2 1 2 2 1 0 1 1 2 N SD: 31.9211 c. M: 49.5855 c. 18: 2 1 2 2 1 2 2 1 1 1 1 2 N S SD: 15.7403 c. M: 26.7658 c. 28: 3 2 3 3 2 3 3 2 1 2 1 3 N SD: 14.5779 c. M:-29.6416 c. 31: 4 2 3 3 2 3 4 2 1 2 2 3 N SD: 13.6300 c. M:-24.6351 c. 32: 4 2 3 4 2 3 4 2 1 2 2 3 N SD: 11.4950 c. M:-19.5115 c. 37: 4 3 3 5 2 4 4 2 2 2 2 4 N SD: 11.5716 c. M: 18.4358 c. 41: 5 2 4 5 3 4 5 2 2 2 3 4 N SD: 10.5271 c. M: 19.0102 c. 43: 5 3 4 5 3 4 5 3 2 2 3 4 N SD: 9.1550 c. M:-18.2161 c. 46: 5 3 5 5 3 5 5 3 2 3 2 5 N SD: 9.5835 c. M: 17.4570 c. 50: 6 3 5 6 3 5 6 3 2 3 3 5 N SD: 1.6913 c. M:-2.8517 c. 118: 14 7 12 14 7 12 14 7 5 7 7 12 N SD: 0.9706 c. M: 1.6662 c. 168: 20 10 17 20 10 17 20 10 7 10 10 17 N SD: 0.1876 c. M: 0.3216 c. 386: 46 23 39 46 23 39 46 23 16 23 23 39 N SD: 0.0889 c. M:-0.1487 c. 554: 66 33 56 66 33 56 66 33 23 33 33 56 N SD: 0.0618 c. M:-0.1331 c. 1276: 152 76 129 152 76 129 152 76 53 76 76 129 N SD: 0.0685 c. M: 0.1297 c. 1326: 158 79 134 158 79 134 158 79 55 79 79 134 N SD: 0.0699 c. M:-0.1422 c. 1494: 178 89 151 178 89 151 178 89 62 89 89 151 N SD: 0.0620 c. M:-0.1371 c. 1712: 204 102 173 204 102 173 204 102 71 102 102 173 N SD: 0.0735 c. M:-0.1436 c. 1830: 218 109 185 218 109 185 218 109 76 109 109 185 N SD: 0.0658 c. M:-0.1298 c. 2048: 244 122 207 244 122 207 244 122 85 122 122 207 N SD: 0.0613 c. M:-0.1360 c.
FIT/HARMONIC
1 x x x x x x x 2 x x x 3 S SD: 118.9346 cents 2 x x x 3 x x x 4 x x x 5 S SD: 30.9959 cents 3 x x 4 x x 5 x 6 x x 7:8 S SD: 15.7289 cents 4 x x 5:6 x 7 x 8 x 9 x 10 S SD: 21.3234 cents 5 x 6 x 7:8:9 x 10 x 11:12:13 S SD: 17.3679 cents 6 x 7:8:9 x 10 x 12:13 x 14:16 S SD: 12.5647 cents 7:8 x 9:10:11:12:13:14:15:16:17:18 S SD: 10.3225 cents 8:9 x 10:12 x 14:15:16:17:18:19:21 SD: 10.9128 cents 9:10:11:12:13:14:15:17:18:19:20:21:24 SD: 8.6797 cents 10:11:12:13:15:16:17:19:20:21:22:24:26 SD: 7.7824 cents 11:12:13:14:16:17:19:21:22:23:25:26:29 SD: 7.2324 cents 13:15 x 17:19:20:22:25:26:28:29:31:34 SD: 6.5251 cents 15:17:18:20:22:23:26:29:31:32:34:36:39 SD: 5.5513 cents 16:18:19:21:23:25:27:31:33:34:36:38:42 SD: 4.5432 cents 17:19:20:22:25:26:29:33:35:36:38:40:45 SD: 4.5208 cents 22:25:26:29:32:34:38:42:45:47:49:52:58 SD: 3.8137 cents 23:26:27:30:34:36:39:44:47:49:52:55:60 SD: 3.5629 cents 25:28:30:33:37:39:43:48:51:53:56:59:65 SD: 2.7779 cents 26:29:31:34:38:40:45:50:53:55:58:62:68 SD: 2.6048 cents 32:36:38:42:47:50:55:61:65:68:72:76:84 SD: 1.7683 cents 42:47:50:55:62:65:72:81:85:89:94:100:110 SD: 1.5590 cents 49:55:58:64:72:76:84:94:100:104:110:116:128 SD: 1.0710 cents 58:65:69:76:85:90:99:111:118:123:130:138:152 SD: 0.9949 cents 74:83:88:97:109:115:127:142:151:157:166:176:194 SD: 0.8576 cents 81:91:96:106:119:126:139:156:165:172:182:192:212 SD: 0.8169 cents 90:101:107:118:132:140:154:173:183:191:202:214:236 SD: 0.5945 cents 107:120:127:140:157:166:183:206:218:227:240:254:280 SD: 0.5891 cents 117:131:139:153:172:182:200:225:238:248:262:278:306 SD: 0.5843 cents 133:149:158:174:195:207:228:256:271:282:298:316:348 SD: 0.4970 cents 139:156:165:182:204:216:238:267:283:294:312:330:364 SD: 0.3063 cents 229:257:272:300:336:356:392:440:466:485:514:544:599 SD: 0.2708 cents 240:269:285:314:352:373:411:461:488:508:538:570:628 SD: 0.2511 cents 256:287:304:335:376:398:439:492:521:542:574:608:670 SD: 0.1808 cents 314:352:373:411:461:488:538:603:639:665:704:746:822 SD: 0.1342 cents 346:388:411:453:508:538:593:665:704:733:776:822:906 SD: 0.1150 cents 453:508:538:593:665:704:776:870:922:959:1016:1076:1186 SD: 0.1141 cents 485:544:576:635:712:754:831:932:987:1027:1088:1152:1270 SD: 0.0802 cents