Scala analysis: stelhex-catakleismic
stelhex tempered in 13-limit POTE-tuned catakleismic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.963 cents 84.963120 2: 267.800 cents 267.800430 3: 316.738 cents 316.737530 4: 383.688 cents 383.687640 5: 468.651 cents 468.650760 6: 584.538 cents 584.537960 7: 700.425 cents 700.425160 8: 816.312 cents 816.312360 9: 901.275 cents 901.275490 10: 968.226 cents 968.225600 11: 1017.163 cents 1017.162690 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 182.8373 cents 182.8373 1: 84.9631 cents 84.9631 2: 182.8373 cents 182.8373 3: 48.9371 cents 48.9371 4: 66.9501 cents 66.9501 5: 84.9631 cents 84.9631 6: 115.8872 cents 115.8872 7: 115.8872 cents 115.8872 8: 115.8872 cents 115.8872 9: 84.9631 cents 84.9631 10: 66.9501 cents 66.9501 11: 48.9371 cents 48.9371 12: 182.8373 cents 182.8373
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 48.93710 cents 1: 2 66.95011 cents 1: 3 84.96312 cents 1: 3 115.88720 cents 1: 2 182.83731 cents 2: 2 115.88721 cents 2: 2 151.91323 cents 2: 2 200.85032 cents 2: 4 231.77441 cents 2: 2 267.80043 cents 3: 2 200.85033 cents 3: 2 267.80043 cents 3: 2 298.72452 cents 3: 4 316.73753 cents 3: 1 347.66160 cents 3: 1 450.63774 cents 4: 2 316.73753 cents 4: 6 383.68764 cents 4: 2 432.62472 cents 4: 2 499.57483 cents 5: 2 432.62473 cents 5: 2 468.65076 cents 5: 4 499.57484 cents 5: 1 517.58785 cents 5: 1 548.51193 cents 5: 2 566.52494 cents 6: 2 548.51193 cents 6: 4 584.53796 cents 6: 4 615.46204 cents 6: 2 651.48807 cents 7: 2 633.47506 cents 7: 1 651.48807 cents 7: 1 682.41215 cents 7: 4 700.42516 cents 7: 2 731.34924 cents 7: 2 767.37527 cents 8: 2 700.42517 cents 8: 2 767.37528 cents 8: 6 816.31236 cents 8: 2 883.26247 cents 9: 1 749.36226 cents 9: 1 852.33840 cents 9: 4 883.26248 cents 9: 2 901.27549 cents 9: 2 932.19957 cents 9: 2 999.14967 cents 10: 2 932.19957 cents 10: 4 968.22560 cents 10: 2 999.14968 cents 10: 2 1048.08677 cents 10: 2 1084.11279 cents 11: 2 1017.16269 cents 11: 3 1084.11280 cents 11: 3 1115.03688 cents 11: 2 1133.04989 cents 11: 2 1151.06290 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.09091 = 56/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 85.0 267.8 316.7 383.7 468.7 584.5 700.4 816.3 901.3 968.2 1017.2 1200.0 85.0 : 182.8 231.8 298.7 383.7 499.6 615.5 731.3 816.3 883.3 932.2 1115.0 1200.0 267.8 : 48.9 115.9 200.9 316.7 432.6 548.5 633.5 700.4 749.4 932.2 1017.2 1200.0 316.7 : 67.0 151.9 267.8 383.7 499.6 584.5 651.5 700.4 883.3 968.2 1151.1 1200.0 383.7 : 85.0 200.9 316.7 432.6 517.6 584.5 633.5 816.3 901.3 1084.1 1133.0 1200.0 468.7 : 115.9 231.8 347.7 432.6 499.6 548.5 731.3 816.3 999.1 1048.1 1115.0 1200.0 584.5 : 115.9 231.8 316.7 383.7 432.6 615.5 700.4 883.3 932.2 999.1 1084.1 1200.0 700.4 : 115.9 200.9 267.8 316.7 499.6 584.5 767.4 816.3 883.3 968.2 1084.1 1200.0 816.3 : 85.0 151.9 200.9 383.7 468.7 651.5 700.4 767.4 852.3 968.2 1084.1 1200.0 901.3 : 67.0 115.9 298.7 383.7 566.5 615.5 682.4 767.4 883.3 999.1 1115.0 1200.0 968.2 : 48.9 231.8 316.7 499.6 548.5 615.5 700.4 816.3 932.2 1048.1 1133.0 1200.0 1017.2: 182.8 267.8 450.6 499.6 566.5 651.5 767.4 883.3 999.1 1084.1 1151.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 48.9371 .. 182.8373 cents 133.90021 cents 48.93710 cents 2: 115.8872 .. 267.8004 cents 151.91322 cents -66.95010 cents 3: 200.8503 .. 450.6377 cents 249.78741 cents -66.95010 cents 4: 316.7375 .. 499.5748 cents 182.83730 cents -133.90021 cents 5: 432.6247 .. 566.5249 cents 133.90021 cents -66.95010 cents 6: 548.5119 .. 651.4881 cents 102.97614 cents -18.01301 cents 7: 633.4751 .. 767.3753 cents 133.90021 cents -18.01301 cents 8: 700.4252 .. 883.2625 cents 182.83730 cents -66.95010 cents 9: 749.3623 .. 999.1497 cents 249.78741 cents -133.90021 cents 10: 932.1996 .. 1084.1128 cents 151.91322 cents -66.95010 cents 11: 1017.1627 .. 1151.0629 cents 133.90021 cents -66.95010 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 48.93709 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 182.83731 cents Average / Smallest step : 2.043440 Largest / Average step : 1.828373 Largest / Smallest step : 3.736170 Median interval of one step : 84.96312 cents, amount: 3 Least squares average step : 98.11078 cents, oct.: 1177.32939 cents Scale is not proper Step pattern alph. order: ABCDAEEEADCB Step pattern size order : CEABCDDDCBAE Scale is not a Constant Structure Scale diversity : 1.467534 Lumma stability : 0.081562 Lumma impropriety factor : 0.557918 Rothenberg efficiency : 0.320533 redundancy: 0.679467 Efficiency x scale size : 3.846392 Number of different interval sizes : 42 = 3.81818 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.09091 = 56/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 18.01301 cents Number of recognisable fifths : 6, average 700.4252 cents Formal octave complements present : 3 = 25.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 6-7 -- Rational properties --
FIT/MODE
12: 1 2 0 1 1 1 1 1 1 1 0 2 N T3 SD: 19.5855 c. M:-32.1996 c. 15: 1 2 1 1 1 1 2 1 1 1 1 2 N D3 SD: 17.0691 c. M: 27.8004 c. 19: 1 3 1 1 1 2 2 2 1 1 1 3 N SD: 14.4869 c. M: 26.5455 c. 22: 2 3 1 1 2 2 2 2 2 1 1 3 N SD: 15.1748 c. M:-25.9972 c. 25: 2 4 1 1 2 2 3 2 2 1 1 4 N SD: 12.0850 c. M:-20.1996 c. 26: 2 4 1 1 2 3 2 3 2 1 1 4 N SD: 10.9178 c. M:-21.8014 c. 27: 2 4 1 2 2 2 3 2 2 2 1 4 N SD: 10.8792 c. M:-20.2381 c. 28: 2 4 1 2 2 3 2 3 2 2 1 4 N SD: 10.4217 c. M:-17.4887 c. 31: 2 5 1 2 2 3 3 3 2 2 1 5 N SD: 5.9199 c. M: 10.9529 c. 41: 3 6 2 2 3 4 4 4 3 2 2 6 N SD: 3.8101 c. M:-7.2276 c. 53: 4 8 2 3 4 5 5 5 4 3 2 8 N SD: 3.7225 c. M:-6.8209 c. 57: 4 9 2 3 4 6 5 6 4 3 2 9 N SD: 4.3579 c. M: 6.6364 c. 68: 5 10 3 4 5 6 7 6 5 4 3 10 N SD: 4.1425 c. M:-7.8198 c. 72: 5 11 3 4 5 7 7 7 5 4 3 11 N SD: 1.0828 c. M: 1.9841 c. 125: 9 19 5 7 9 12 12 12 9 7 5 19 N SD: 0.9546 c. M:-1.7492 c. 197: 14 30 8 11 14 19 19 19 14 11 8 30 N SD: 0.2100 c. M:-0.3848 c. 269: 19 41 11 15 19 26 26 26 19 15 11 41 N SD: 0.1360 c. M: 0.2493 c. 466: 33 71 19 26 33 45 45 45 33 26 19 71 N SD: 0.0102 c. M:-0.0188 c. 2133: 151 325 87 119 151 206 206 206 151 119 87 325 N SD: 0.0082 c. M: 0.0150 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 0.7649 cents 3 x x x x 4 x x x 5 x x 6 S SD: 11.3049 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.7745 cents 5 x x 6 x x 7 x 8 x x 9:10 S SD: 0.7040 cents 6 x 7 x x 8 x 9 x 10 x 11:12 S SD: 7.8000 cents 7 x 8 x x 9:10 x 11:12 x 13:14 S SD: 13.3148 cents 8 x 9 x 10 x 11:12:13 x 14 x 16 S SD: 10.8623 cents 9 x x 11 x 12:13 x 14:15 x 16:18 SD: 12.6884 cents 10:11 x 12 x 13:14:15:16:17 x 18:20 S SD: 9.2505 cents 11:12:13 x 14 x 15:16:18 x 19:20:22 S SD: 12.6573 cents 12:13:14 x 15:16:17:18:19:20:21:22:24 S SD: 6.9491 cents 13:14:15 x 16:17:18:19:21:22:23 x 26 SD: 7.6714 cents 14:15:16:17 x 18:20:21:22:24 x 25:28 SD: 8.6360 cents 15:16 x 18:19:20:21:22:24:25:26:27:30 S SD: 5.8805 cents 16:17 x 19:20:21:22:24:26:27:28:29:32 SD: 4.6785 cents 17:18:20 x 21:22:24:25:27:29:30:31:34 SD: 5.7198 cents 18:19:21:22 x 24:25:27:29:30:31:32:36 SD: 5.5186 cents 19:20:22:23:24:25:27:28:30:32:33:34:38 SD: 4.7132 cents 20:21:23:24:25:26:28:30:32:34:35:36:40 SD: 2.8867 cents 21:22 x 25:26:28:29:31:34:35:37:38:42 SD: 5.3754 cents 22:23:26 x 27:29:31:33:35:37:38:40:44 SD: 4.5559 cents 23:24:27:28:29:30:32:34:37:39:40:41:46 SD: 4.1568 cents 24:25:28:29:30:31:34:36:38:40:42:43:48 SD: 3.8211 cents 25:26:29:30:31:33:35:37:40:42:44:45:50 SD: 2.9848 cents 27:28 x 32:34:35:38:40:43:45:47:49:54 SD: 4.7626 cents 28:29:33:34:35:37:39:42:45:47:49:50:56 SD: 3.5209 cents 32:34:37:38:40:42:45:48:51:54:56:58:64 SD: 3.0620 cents 35:37:41:42:44:46:49:52:56:59:61:63:70 SD: 2.0884 cents 40:42:47:48:50:52:56:60:64:67:70:72:80 SD: 1.7261 cents 55:58:64:66:69:72:77:82:88:93:96:99:110 SD: 1.5301 cents 60:63:70:72:75:79:84:90:96:101:105:108:120 SD: 0.7510 cents 100:105:117:120:125:131:140:150:160:168:175:180:200 SD: 0.5859 cents 120:126:140:144:150:157:168:180:192:202:210:216:240 SD: 0.4900 cents 154:162:180:185:192:202:216:231:247:259:269:277:308 SD: 0.4796 cents 161:169:188:193:201:211:226:241:258:271:282:290:322 SD: 0.4431 cents 174:183:203:209:217:228:244:261:279:293:304:313:348 SD: 0.3685 cents 199:209:232:239:248:261:279:298:319:335:348:358:398 SD: 0.3308 cents 234:246:273:281:292:307:328:351:375:394:409:421:468 SD: 0.2766 cents 239:251:279:287:298:313:335:358:383:402:418:430:478 SD: 0.2363 cents 274:288:320:329:342:359:384:411:439:461:479:493:548 SD: 0.2293 cents 299:314:349:359:373:392:419:448:479:503:523:538:598 SD: 0.1194 cents