Scala analysis: horixens-02-baobaoshuijiaojiao
Sevish: Baobaoshuijiaojiao, Horixens
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 116.013 cents 116.012640 2: 232.025 cents 232.025270 3: 316.928 cents 316.927660 4: 432.940 cents 432.940290 5: 499.841 cents 499.841420 6: 615.854 cents 615.854050 7: 700.756 cents 700.756440 8: 816.769 cents 816.769070 9: 932.782 cents 932.781700 10: 999.683 cents 999.682820 11: 1133.697 cents 1133.696720 12: 1200.598 cents 1200.597840
SHOW/INTERVAL
0: 66.9011 cents 66.9011 1: 116.0126 cents 116.0126 2: 116.0126 cents 116.0126 3: 84.9024 cents 84.9024 4: 116.0126 cents 116.0126 5: 66.9011 cents 66.9011 6: 116.0126 cents 116.0126 7: 84.9024 cents 84.9024 8: 116.0126 cents 116.0126 9: 116.0126 cents 116.0126 10: 66.9011 cents 66.9011 11: 134.0139 cents 134.0139 12: 66.9011 cents 66.9011
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 66.90113 cents 1: 2 84.90239 cents 1: 6 116.01264 cents 1: 1 134.01390 cents 2: 4 182.91376 cents 2: 6 200.91502 cents 2: 2 232.02527 cents 3: 3 267.81615 cents 3: 3 298.92639 cents 3: 6 316.92766 cents 4: 8 383.82878 cents 4: 4 432.94029 cents 5: 1 468.73117 cents 5: 9 499.84142 cents 5: 2 517.84267 cents 6: 2 566.74253 cents 6: 4 584.74380 cents 6: 4 615.85405 cents 6: 2 633.85530 cents 7: 2 682.75516 cents 7: 9 700.75644 cents 7: 1 731.86667 cents 8: 4 767.65755 cents 8: 8 816.76907 cents 9: 6 883.67018 cents 9: 3 901.67145 cents 9: 3 932.78170 cents 10: 2 968.57257 cents 10: 6 999.68282 cents 10: 4 1017.68408 cents 11: 1 1066.58394 cents 11: 6 1084.58520 cents 11: 2 1115.69545 cents 11: 3 1133.69672 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.09091 = 34/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 116.0 232.0 316.9 432.9 499.8 615.9 700.8 816.8 932.8 999.7 1133.7 1200.6 116.0 : 116.0 200.9 316.9 383.8 499.8 584.7 700.8 816.8 883.7 1017.7 1084.6 1200.6 232.0 : 84.9 200.9 267.8 383.8 468.7 584.7 700.8 767.7 901.7 968.6 1084.6 1200.6 316.9 : 116.0 182.9 298.9 383.8 499.8 615.9 682.8 816.8 883.7 999.7 1115.7 1200.6 432.9 : 66.9 182.9 267.8 383.8 499.8 566.7 700.8 767.7 883.7 999.7 1084.6 1200.6 499.8 : 116.0 200.9 316.9 432.9 499.8 633.9 700.8 816.8 932.8 1017.7 1133.7 1200.6 615.9 : 84.9 200.9 316.9 383.8 517.8 584.7 700.8 816.8 901.7 1017.7 1084.6 1200.6 700.8 : 116.0 232.0 298.9 432.9 499.8 615.9 731.9 816.8 932.8 999.7 1115.7 1200.6 816.8 : 116.0 182.9 316.9 383.8 499.8 615.9 700.8 816.8 883.7 999.7 1084.6 1200.6 932.8 : 66.9 200.9 267.8 383.8 499.8 584.7 700.8 767.7 883.7 968.6 1084.6 1200.6 999.7 : 134.0 200.9 316.9 432.9 517.8 633.9 700.8 816.8 901.7 1017.7 1133.7 1200.6 1133.7: 66.9 182.9 298.9 383.8 499.8 566.7 682.8 767.7 883.7 999.7 1066.6 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.9011 .. 134.0139 cents 67.11277 cents 66.90113 cents 2: 182.9138 .. 232.0253 cents 49.11151 cents 48.89986 cents 3: 267.8161 .. 316.9277 cents 49.11151 cents 35.79088 cents 4: 383.8288 .. 432.9403 cents 49.11151 cents 66.90112 cents 5: 468.7312 .. 517.8427 cents 49.11150 cents 35.79088 cents 6: 566.7425 .. 633.8553 cents 67.11277 cents 48.89986 cents 7: 682.7552 .. 731.8667 cents 49.11151 cents 48.89986 cents 8: 767.6575 .. 816.7691 cents 49.11152 cents 35.79088 cents 9: 883.6702 .. 932.7817 cents 49.11152 cents 66.90111 cents 10: 968.5726 .. 1017.6841 cents 49.11151 cents 35.79087 cents 11: 1066.5839 .. 1133.6967 cents 67.11278 cents 48.89986 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 66.90112 cents, class 1 Average step (divided formal octave): 100.0498 cents Largest one step interval : 134.01390 cents Average / Smallest step : 1.495488 Largest / Average step : 1.339472 Largest / Smallest step : 2.003164 Median interval of one step : 116.01264 cents, amount: 6 Most common interval of one step : 116.01264 cents, amount: 6 Least squares average step : 101.79398 cents, oct.: 1221.52778 cents Scale is strictly proper Step pattern alph. order: AABACABAACDC Step pattern size order : CCBCACBCCADA Scale is a Constant Structure, by a margin of 35.79087 cents Scale diversity : 1.351950 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.505055 Rothenberg efficiency : 0.439743 redundancy: 0.560257 Efficiency x scale size : 5.276912 Number of different interval sizes : 34 = 3.09091 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.09091 = 34/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 18.00125 cents Most common intervals : 499.84142 cents & inv., amount: 9 Most common triad is 0.0 499.841 700.756 cents, amount: 6 Number of recognisable fifths : 9, average 700.7564 cents Number of recognisable fourths : 9, average 499.8414 cents Best fifths form a closed circle Formal octave complements present : 3 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 9 Inversional symmetry on intervals : 4-5 10-11 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 20.9817 c. M: 33.1487 c. Twelve-tone Chromatic (1/11-comma) 17: 2 1 1 2 1 2 1 2 1 1 2 1 P M ME SD: 18.3852 c. M: 34.4341 c. Twelve-tone Chromatic (2/11-comma positive) 19: 2 2 1 2 1 2 1 2 2 1 2 1 P M ME SD: 10.5644 c. M:-20.7322 c. 22: 2 2 2 2 1 2 2 2 2 1 3 1 P D3 SD: 10.1451 c. M: 17.3755 c. 31: 3 3 2 3 2 3 2 3 3 2 3 2 SP M ME SD: 5.2156 c. M: 10.5568 c. 41: 4 4 3 4 2 4 3 4 4 2 5 2 SP SD: 4.0427 c. M:-8.3354 c. 53: 5 5 4 5 3 5 4 5 5 3 6 3 SP SD: 2.8010 c. M: 5.4974 c. 72: 7 7 5 7 4 7 5 7 7 4 8 4 SP SD: 0.7266 c. M:-1.4243 c. 197: 19 19 14 19 11 19 14 19 19 11 22 11 SP SD: 0.2246 c. M: 0.4379 c. 269: 26 26 19 26 15 26 19 26 26 15 30 15 SP SD: 0.0421 c. M:-0.0715 c. 735: 71 71 52 71 41 71 52 71 71 41 82 41 SP SD: 0.0465 c. M: 0.0730 c. 1004: 97 97 71 97 56 97 71 97 97 56 112 56 SP SD: 0.0339 c. M: 0.0645 c. 1273: 123 123 90 123 71 123 90 123 123 71 142 71 SP SD: 0.0295 c. M: 0.0607 c. 1542: 149 149 109 149 86 149 109 149 149 86 172 86 SP SD: 0.0284 c. M: 0.0583 c. 1811: 175 175 128 175 101 175 128 175 175 101 202 101 SP SD: 0.0285 c. M: 0.0566 c. 2080: 201 201 147 201 116 201 147 201 201 116 232 116 SP SD: 0.0292 c. M: 0.0553 c. 2277: 220 220 161 220 127 220 161 220 220 127 254 127 SP SD: 0.0311 c. M: 0.0624 c. 2349: 227 227 166 227 131 227 166 227 227 131 262 131 SP SD: 0.0300 c. M: 0.0543 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.5978 cents 2 x x x x x x 3 x x x x 4 S SD: 0.6697 cents 3 x x x x 4 x x x 5 x x 6 S SD: 16.1533 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 13.9821 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 7.6002 cents 6 x 7 x x 8 x 9 x 10:11 x 12 S SD: 12.9445 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 10.1285 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 11.9873 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 11.0770 cents 10:11 x 12:13 x 14:15:16:17:18:19:20 S SD: 7.0741 cents 11:12 x 13:14:15:16 x 18:19:20:21:22 S SD: 8.7024 cents 12:13:14 x 15:16:17:18:19 x 21:23:24 SD: 7.4323 cents 13:14:15:16:17 x 19 x 21:22:23:25:26 SD: 7.5512 cents 14:15:16:17:18:19:20:21:22:24:25:27:28 SD: 4.1041 cents 16:17:18:19 x 21:23:24:26:27:29:31:32 SD: 6.1667 cents 18:19:21:22:23:24:26:27:29:31:32:35:36 SD: 5.0168 cents 21:22:24:25:27:28:30:31:34:36:37:40:42 SD: 4.7129 cents 24:26:27:29:31:32:34:36:38:41:43:46:48 SD: 4.0147 cents 26:28:30:31:33:35:37:39:42:45:46:50:52 SD: 3.5535 cents 28:30:32:34:36:37:40:42:45:48:50:54:56 SD: 2.2670 cents 40:43:46:48:51:53:57:60:64:69:71:77:80 SD: 2.1723 cents 42:45:48:50:54:56:60:63:67:72:75:81:84 SD: 1.5555 cents 56:60:64:67:72:75:80:84:90:96:100:108:112 SD: 1.0130 cents 70:75:80:84:90:93:100:105:112:120:125:135:140 SD: 0.9310 cents 84:90:96:101:108:112:120:126:135:144:150:162:168 SD: 0.7410 cents 98:105:112:118:126:131:140:147:157:168:175:189:196 SD: 0.7383 cents 105:112:120:126:135:140:150:157:168:180:187:202:210 SD: 0.6501 cents 119:127:136:143:153:159:170:178:191:204:212:229:238 SD: 0.5507 cents 134:143:153:161:172:179:191:201:215:230:239:258:268 SD: 0.5405 cents 159:170:182:191:204:212:227:238:255:273:283:306:318 SD: 0.4467 cents 161:172:184:193:207:215:230:241:258:276:287:310:322 SD: 0.4463 cents 173:185:198:208:222:231:247:259:277:297:308:333:346 SD: 0.4317 cents 174:186:199:209:223:232:248:261:279:298:310:335:348 SD: 0.4164 cents 188:201:215:226:241:251:268:282:301:322:335:362:376 SD: 0.4097 cents 189:202:216:227:243:252:270:283:303:324:337:364:378 SD: 0.3669 cents 215:230:246:258:276:287:307:322:345:368:383:414:430 SD: 0.3419 cents 229:245:262:275:294:306:327:343:367:392:408:441:458 SD: 0.3156 cents 244:261:279:293:313:326:348:366:391:418:435:470:488 SD: 0.3114 cents 260:278:297:312:334:347:371:390:417:446:463:500:520 SD: 0.3025 cents 274:293:313:329:352:366:391:411:439:470:488:527:548 SD: 0.2823 cents 293:313:335:352:376:391:418:439:470:502:522:564:586 SD: 0.2427 cents 307:328:351:369:394:410:438:460:492:526:547:591:614 SD: 0.2399 cents 328:351:375:394:421:438:468:492:526:562:584:631:656 SD: 0.2392 cents 334:357:382:401:429:446:477:501:535:572:595:643:668 SD: 0.2359 cents 335:358:383:402:430:447:478:502:537:574:597:645:670 SD: 0.1916 cents 349:373:399:419:448:466:498:523:559:598:622:672:698 SD: 0.1897 cents 377:403:431:453:484:503:538:565:604:646:672:726:754 SD: 0.1845 cents 419:448:479:503:538:559:598:628:672:718:746:807:838 SD: 0.1829 cents 433:463:495:520:556:578:618:649:694:742:771:833:866 SD: 0.1262 cents 503:538:575:604:646:671:718:754:806:862:896:968:1006 SD: 0.1238 cents 517:553:591:621:664:690:738:775:829:886:921:995:1034 SD: 0.1097 cents