Scala analysis: suzz
{385/384, 441/440} suzz in 190-et version
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 82.105 cents 82.105263 2: 233.684 cents 233.684211 3: 315.789 cents 315.789474 4: 467.368 cents 467.368421 5: 581.053 cents 581.052632 6: 732.632 cents 732.631579 7: 814.737 cents 814.736842 8: 966.316 cents 966.315790 9: 1048.421 cents 1048.421053 10: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 151.5789 cents 151.5789 1: 82.1053 cents 82.1053 2: 151.5789 cents 151.5789 3: 82.1053 cents 82.1053 4: 151.5789 cents 151.5789 5: 113.6842 cents 113.6842 6: 151.5789 cents 151.5789 7: 82.1053 cents 82.1053 8: 151.5789 cents 151.5789 9: 82.1053 cents 82.1053 10: 151.5789 cents 151.5789
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 82.10526 cents 1: 1 113.68421 cents 1: 5 151.57895 cents 2: 8 233.68421 cents 2: 2 265.26316 cents 3: 3 315.78947 cents 3: 2 347.36842 cents 3: 4 385.26316 cents 3: 1 416.84211 cents 4: 6 467.36842 cents 4: 4 498.94737 cents 5: 2 549.47368 cents 5: 3 581.05263 cents 5: 3 618.94737 cents 5: 2 650.52632 cents 6: 4 701.05263 cents 6: 6 732.63158 cents 7: 1 783.15789 cents 7: 4 814.73684 cents 7: 2 852.63158 cents 7: 3 884.21053 cents 8: 2 934.73684 cents 8: 8 966.31579 cents 9: 5 1048.42105 cents 9: 1 1086.31579 cents 9: 4 1117.89474 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 2.88889 = 26/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 82.1 233.7 315.8 467.4 581.1 732.6 814.7 966.3 1048.4 1200.0 82.1 : 151.6 233.7 385.3 498.9 650.5 732.6 884.2 966.3 1117.9 1200.0 233.7 : 82.1 233.7 347.4 498.9 581.1 732.6 814.7 966.3 1048.4 1200.0 315.8 : 151.6 265.3 416.8 498.9 650.5 732.6 884.2 966.3 1117.9 1200.0 467.4 : 113.7 265.3 347.4 498.9 581.1 732.6 814.7 966.3 1048.4 1200.0 581.1 : 151.6 233.7 385.3 467.4 618.9 701.1 852.6 934.7 1086.3 1200.0 732.6 : 82.1 233.7 315.8 467.4 549.5 701.1 783.2 934.7 1048.4 1200.0 814.7 : 151.6 233.7 385.3 467.4 618.9 701.1 852.6 966.3 1117.9 1200.0 966.3 : 82.1 233.7 315.8 467.4 549.5 701.1 814.7 966.3 1048.4 1200.0 1048.4: 151.6 233.7 385.3 467.4 618.9 732.6 884.2 966.3 1117.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.1053 .. 151.5789 cents 69.47368 cents 82.10526 cents 2: 233.6842 .. 265.2632 cents 31.57895 cents 82.10526 cents 3: 315.7895 .. 416.8421 cents 101.05263 cents 50.52632 cents 4: 467.3684 .. 498.9474 cents 31.57895 cents 50.52632 cents 5: 549.4737 .. 650.5263 cents 101.05263 cents 50.52632 cents 6: 701.0526 .. 732.6316 cents 31.57895 cents 50.52632 cents 7: 783.1579 .. 884.2105 cents 101.05263 cents 50.52632 cents 8: 934.7368 .. 966.3158 cents 31.57895 cents 50.52632 cents 9: 1048.4211 .. 1117.8947 cents 69.47368 cents 82.10526 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 82.10526 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 151.57895 cents Average / Smallest step : 1.461538 Largest / Average step : 1.263158 Largest / Smallest step : 1.846154 Median interval of one step : 132.63158 cents, amount: 0 Most common interval of one step : 151.57895 cents, amount: 5 Least squares average step : 118.27751 cents, oct.: 1182.77512 cents Scale is strictly proper Scale is a mode of a 190-tone equal temperament with octave 2/1 degrees: 13 37 50 74 92 116 129 153 166 190 Least number of segments generator : 97 of 612.632 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 141 of 890.526 cents and inv. generated superset size: 45 = 35 more = 450.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABCBABAB Step pattern size order : SLSLMLSLSL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 1 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 2 0 0 0 0 0 0 0 3 0 0 0 0 2 0 0 0 0 0 4 0 0 0 0 1 0 0 0 0 0 0 0 6 0 0 0 0 4 0 0 0 0 0 0 0 2 0 0 0 0 3 0 0 0 ] Scale is a Constant Structure, by a margin of 50.52632 cents Scale diversity : 1.369986 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.526316 Rothenberg efficiency : 0.526429 redundancy: 0.473571 Efficiency x scale size : 5.264286 Number of different interval sizes : 26 = 2.88889 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 2.88889 = 26/9 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 31.57895 cents Most common intervals : 233.68421 cents & inv., amount: 8 Most common triad is 0.0 233.684 966.316 cents, amount: 6 Number of recognisable fifths : 4, average 701.0526 cents Scale contains two identical disjunct pentachords Best major thirds form a closed circle Formal octave complements present : 5 = 50.0000% Limited inverse transpositions : 9 Inversional symmetry on intervals : 4-5 9-10 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 24.0498 c. M:-44.2105 c. 15: 1 2 1 2 1 2 1 2 1 2 SP B ME SD: 10.7348 c. M: 21.0526 c. Blackwood Decatonic 16: 1 2 1 2 2 2 1 2 1 2 P D3 SD: 12.3320 c. M:-18.9474 c. 25: 2 3 2 3 2 3 2 3 2 3 SP B ME SD: 10.4163 c. M:-20.2105 c. Blackwood-10 26: 2 3 2 3 3 3 2 3 2 3 SP D3 SD: 10.1502 c. M:-18.9474 c. 29: 2 4 2 3 3 4 2 3 2 4 P SD: 11.4829 c. M:-15.2450 c. 31: 2 4 2 4 3 4 2 4 2 4 SP SD: 3.0628 c. M: 6.1121 c. 56: 4 7 4 7 5 7 4 7 4 7 SP SD: 3.0804 c. M:-5.6391 c. 72: 5 9 5 9 7 9 5 9 5 9 SP SD: 1.2218 c. M:-2.2807 c. 87: 6 11 6 11 8 11 6 11 6 11 SP SD: 1.1340 c. M: 1.7423 c. 103: 7 13 7 13 10 13 7 13 7 13 SP SD: 0.9578 c. M:-1.4716 c. 118: 8 15 8 15 11 15 8 15 8 15 SP SD: 0.7455 c. M: 1.3916 c. 159: 11 20 11 20 15 20 11 20 11 20 SP SD: 0.5972 c. M:-1.1917 c. 190: 13 24 13 24 18 24 13 24 13 24 SP SD: 0.0000 c. M: 0.0000 c. Suzz
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 15.3383 cents 3 x x x 4 x x 5 x x 6 S SD: 25.3602 cents 4 x x 5 x x 6 x 7 x 8 S SD: 19.2370 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 6.1755 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 14.7493 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 10.1611 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 12.4654 cents 9 x 10:11:12:13:14 x 16 x 18 S SD: 13.9874 cents 10 x 11:12:13:14:15:16:17:18:20 S SD: 10.5744 cents 11:12 x 13:14:15:17:18:19:20:22 SD: 12.3195 cents 12:13:14 x 16:17:18:19:21:22:24 SD: 9.3153 cents 13:14:15:16:17:18:20:21:23:24:26 SD: 7.4851 cents 15:16:17:18:20:21:23:24:26:27:30 SD: 5.7559 cents 19:20:22:23:25:27:29:30:33:35:38 SD: 4.7441 cents 20:21:23:24:26:28:31:32:35:37:40 SD: 3.4832 cents 25:26:29:30:33:35:38:40:44:46:50 SD: 3.4467 cents 35:37:40:42:46:49:53:56:61:64:70 SD: 2.1879 cents 40:42:46:48:52:56:61:64:70:73:80 SD: 1.7583 cents 55:58:63:66:72:77:84:88:96:101:110 SD: 1.1044 cents 83:87:95:100:109:116:127:133:145:152:166 SD: 0.9263 cents 100:105:114:120:131:140:153:160:175:183:200 SD: 0.8937 cents 103:108:118:124:135:144:157:165:180:189:206 SD: 0.7068 cents 120:126:137:144:157:168:183:192:210:220:240 SD: 0.6577 cents 123:129:141:148:161:172:188:197:215:225:246 SD: 0.6550 cents 125:131:143:150:164:175:191:200:218:229:250 SD: 0.5102 cents 145:152:166:174:190:203:221:232:253:266:290 SD: 0.4921 cents 165:173:189:198:216:231:252:264:288:302:330 SD: 0.3796 cents 186:195:213:223:244:260:284:298:325:341:372 SD: 0.3781 cents 226:237:259:271:296:316:345:362:395:414:452 SD: 0.2992 cents 249:261:285:299:326:348:380:399:435:456:498 SD: 0.2957 cents 270:283:309:324:354:378:412:432:472:495:540 SD: 0.2934 cents 285:299:326:342:373:399:435:456:498:522:570 SD: 0.2865 cents 290:304:332:348:380:406:443:464:507:531:580 SD: 0.2637 cents 304:319:348:365:398:425:464:487:531:557:608 SD: 0.2506 cents 306:321:350:367:401:428:467:490:535:561:612 SD: 0.2426 cents 326:342:373:391:427:456:498:522:570:597:652 SD: 0.2218 cents 346:363:396:415:453:484:528:554:605:634:692 SD: 0.2157 cents 351:368:402:421:460:491:536:562:613:643:702 SD: 0.2096 cents 374:392:428:449:490:523:571:599:654:685:748 SD: 0.1942 cents 416:436:476:499:545:582:635:666:727:762:832 SD: 0.1486 cents 429:450:491:515:562:600:655:687:750:786:858 SD: 0.1271 cents 471:494:539:565:617:659:719:754:823:863:942 SD: 0.1059 cents 539:565:617:647:706:754:823:863:942:988:1078 SD: 0.1028 cents 554:581:634:665:726:775:846:887:968:1015:1108 SD: 0.0981 cents