Scala analysis: ushaq99
yarman_ushaq in 99ef tempering
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.455 cents 145.454550 2: 290.909 cents 290.909090 3: 496.970 cents 496.969700 4: 703.030 cents 703.030300 5: 787.879 cents 787.878790 6: 848.485 cents 848.484850 7: 993.939 cents 993.939390 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.0606 cents 206.0606 1: 145.4545 cents 145.4545 2: 145.4545 cents 145.4545 3: 206.0606 cents 206.0606 4: 206.0606 cents 206.0606 5: 84.8485 cents 84.8485 6: 60.6061 cents 60.6061 7: 145.4545 cents 145.4545 8: 206.0606 cents 206.0606
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 60.60606 cents 1: 1 84.84849 cents 1: 3 145.45455 cents 1: 3 206.06061 cents 2: 1 145.45455 cents 2: 1 206.06060 cents 2: 2 290.90909 cents 2: 3 351.51515 cents 2: 1 412.12121 cents 3: 1 290.90909 cents 3: 1 351.51515 cents 3: 1 412.12121 cents 3: 4 496.96970 cents 3: 1 557.57575 cents 4: 2 496.96969 cents 4: 2 557.57576 cents 4: 2 642.42424 cents 4: 2 703.03030 cents 5: 1 642.42425 cents 5: 4 703.03030 cents 5: 1 787.87879 cents 5: 1 848.48485 cents 5: 1 909.09091 cents 6: 1 787.87879 cents 6: 3 848.48485 cents 6: 2 909.09091 cents 6: 1 993.93940 cents 6: 1 1054.54545 cents 7: 3 993.93939 cents 7: 3 1054.54545 cents 7: 1 1115.15151 cents 7: 1 1139.39394 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.57143 = 32/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 145.5 290.9 497.0 703.0 787.9 848.5 993.9 1200.0 145.5 : 145.5 351.5 557.6 642.4 703.0 848.5 1054.5 1200.0 290.9 : 206.1 412.1 497.0 557.6 703.0 909.1 1054.5 1200.0 497.0 : 206.1 290.9 351.5 497.0 703.0 848.5 993.9 1200.0 703.0 : 84.8 145.5 290.9 497.0 642.4 787.9 993.9 1200.0 787.9 : 60.6 206.1 412.1 557.6 703.0 909.1 1115.2 1200.0 848.5 : 145.5 351.5 497.0 642.4 848.5 1054.5 1139.4 1200.0 993.9 : 206.1 351.5 497.0 703.0 909.1 993.9 1054.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 60.6061 .. 206.0606 cents 145.45455 cents 60.60606 cents 2: 145.4545 .. 412.1212 cents 266.66666 cents -60.60606 cents 3: 290.9091 .. 557.5757 cents 266.66666 cents -121.21212 cents 4: 496.9697 .. 703.0303 cents 206.06061 cents -60.60606 cents 5: 642.4243 .. 909.0909 cents 266.66666 cents -60.60605 cents 6: 787.8788 .. 1054.5455 cents 266.66666 cents -121.21212 cents 7: 993.9394 .. 1139.3939 cents 145.45455 cents -60.60606 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 60.60606 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 206.06061 cents Average / Smallest step : 2.475000 Largest / Average step : 1.373737 Largest / Smallest step : 3.400000 Median interval of one step : 145.45455 cents, amount: 3 Least squares average step : 150.08913 cents, oct.: 1200.71301 cents Scale is not proper Scale is a mode of a 99-tone equal temperament with octave 1200.000 cents degrees: 12 24 41 58 65 70 82 99 Least number of segments generator : 50 of 606.061 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 70 of 848.485 cents and inv. generated superset size: 11 = 3 more = 137.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABBCDAB Step pattern size order : CCDDBACD Interval vector is [ 0 0 0 0 1 0 1 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 2 0 0 0 0 0 0 6 0 0 0 0 3 0 0 0 ] Scale is not a Constant Structure Scale diversity : 1.382526 Lumma stability : 0.101010 Lumma impropriety factor : 0.404040 Rothenberg efficiency : 0.554464 redundancy: 0.445536 Efficiency x scale size : 4.435714 Number of different interval sizes : 18 = 2.57143 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.57143 = 32/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 24.24243 cents Most common intervals : 496.96970 cents & inv., amount: 6 Most common triad is 0.0 496.970 703.030 cents, amount: 4 Number of recognisable fifths : 6, average 703.0303 cents Formal octave complements present : 3 = 37.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 0 1 1 1 N T3 SD: 38.3194 c. M:-56.0606 c. 9: 1 1 2 1 1 0 1 2 N SD: 34.5508 c. M: 60.6061 c. 10: 1 1 2 2 0 1 1 2 N SD: 34.7257 c. M: 67.8788 c. 12: 1 2 2 2 1 0 2 2 N SD: 24.2424 c. M: 48.4849 c. 14: 2 1 3 2 1 1 2 2 N SD: 22.2470 c. M:-34.6320 c. 15: 2 2 2 3 1 1 2 2 N SD: 24.7374 c. M:-46.0606 c. 17: 2 2 3 3 1 1 2 3 N SD: 5.8363 c. M: 11.4082 c. 41: 5 5 7 7 3 2 5 7 N SD: 1.2100 c. M:-2.3651 c. 58: 7 7 10 10 4 3 7 10 N SD: 0.8553 c. M: 1.6719 c. 99: 12 12 17 17 7 5 12 17 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 0.5376 cents 3 x x 4 x x 5 x 6 S SD: 11.9633 cents 4 x 5 x 6 x x 7:8 S SD: 24.6651 cents 5 x 6:7 x 8 x 9:10 S SD: 19.1362 cents 6 x 7:8:9 x 10:11:12 S SD: 11.7128 cents 7 x 8:9 x 11 x 12:14 SD: 21.0950 cents 8:9 x 11:12 x 13:14:16 SD: 14.0098 cents 9:10:11:12 x 14:15:16:18 S SD: 11.4083 cents 10:11:12:13:15:16 x 18:20 SD: 9.0900 cents 11:12:13:15 x 17:18:20:22 SD: 9.5866 cents 12:13:14:16:18:19:20:21:24 S SD: 6.3788 cents 13:14:15:17 x 20:21:23:26 SD: 10.4582 cents 14:15:17:19:21:22:23:25:28 SD: 7.8811 cents 15:16:18:20:23:24 x 27:30 SD: 9.4144 cents 16:17:19:21:24:25:26:28:32 SD: 7.1779 cents 18:20:21:24:27:28:29:32:36 SD: 6.8442 cents 21:23:25:28:32:33:34:37:42 SD: 4.6171 cents 22:24:26:29:33:35:36:39:44 SD: 3.2106 cents 33:36:39:44:50:52:54:59:66 SD: 2.6741 cents 36:39:43:48:54:57:59:64:72 SD: 2.6162 cents 44:48:52:59:66:69:72:78:88 SD: 1.9935 cents 48:52:57:64:72:76:78:85:96 SD: 1.9242 cents 54:59:64:72:81:85:88:96:108 SD: 1.2140 cents 66:72:78:88:99:104:108:117:132 SD: 0.9439 cents 103:112:122:137:155:162:168:183:206 SD: 0.9144 cents 104:113:123:139:156:164:170:185:208 SD: 0.8618 cents 114:124:135:152:171:180:186:202:228 SD: 0.6543 cents 126:137:149:168:189:199:206:224:252 SD: 0.6304 cents 147:160:174:196:221:232:240:261:294 SD: 0.5041 cents 160:174:189:213:240:252:261:284:320 SD: 0.4749 cents 174:189:206:232:261:274:284:309:348 SD: 0.4465 cents 196:213:232:261:294:309:320:348:392 SD: 0.2979 cents 250:272:296:333:375:394:408:444:500 SD: 0.2710 cents 262:285:310:349:393:413:428:465:524 SD: 0.2360 cents 307:334:363:409:461:484:501:545:614 SD: 0.1852 cents 469:510:555:625:704:739:766:833:938 SD: 0.1746 cents 481:523:569:641:722:758:785:854:962 SD: 0.1130 cents 503:547:595:670:755:793:821:893:1006 SD: 0.1047 cents 547:595:647:729:821:862:893:971:1094 SD: 0.0968 cents