Scala analysis: bubble-06-dream-up
Sevish: Dream Up, Bubble
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 140.000 cents 140.000000 2: 200.000 cents 200.000000 3: 310.000 cents 310.000000 4: 400.000 cents 400.000000 5: 540.000 cents 540.000000 6: 640.000 cents 640.000000 7: 700.000 cents 700.000000 8: 833.000 cents 833.000000 9: 900.000 cents 900.000000 10: 1040.000 cents 1040.000000 11: 1100.000 cents 1100.000000 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 140.0000 cents 140.0000 2: 60.0000 cents 60.0000 3: 110.0000 cents 110.0000 4: 90.0000 cents 90.0000 5: 140.0000 cents 140.0000 6: 100.0000 cents 100.0000 7: 60.0000 cents 60.0000 8: 133.0000 cents 133.0000 9: 67.0000 cents 67.0000 10: 140.0000 cents 140.0000 11: 60.0000 cents 60.0000 12: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 60.00000 cents 1: 1 67.00000 cents 1: 1 90.00000 cents 1: 2 100.00000 cents 1: 1 110.00000 cents 1: 1 133.00000 cents 1: 3 140.00000 cents 2: 2 160.00000 cents 2: 1 170.00000 cents 2: 1 193.00000 cents 2: 4 200.00000 cents 2: 1 207.00000 cents 2: 1 230.00000 cents 2: 2 240.00000 cents 3: 2 260.00000 cents 3: 1 267.00000 cents 3: 1 293.00000 cents 3: 4 300.00000 cents 3: 1 310.00000 cents 3: 1 330.00000 cents 3: 2 340.00000 cents 4: 2 360.00000 cents 4: 1 367.00000 cents 4: 1 390.00000 cents 4: 4 400.00000 cents 4: 1 410.00000 cents 4: 1 433.00000 cents 4: 2 440.00000 cents 5: 1 460.00000 cents 5: 1 470.00000 cents 5: 7 500.00000 cents 5: 1 507.00000 cents 5: 1 523.00000 cents 5: 1 540.00000 cents 6: 4 560.00000 cents 6: 1 567.00000 cents 6: 1 590.00000 cents 6: 1 610.00000 cents 6: 1 633.00000 cents 6: 4 640.00000 cents 7: 1 660.00000 cents 7: 1 677.00000 cents 7: 1 693.00000 cents 7: 7 700.00000 cents 7: 1 730.00000 cents 7: 1 740.00000 cents 8: 2 760.00000 cents 8: 1 767.00000 cents 8: 1 790.00000 cents 8: 4 800.00000 cents 8: 1 810.00000 cents 8: 1 833.00000 cents 8: 2 840.00000 cents 9: 2 860.00000 cents 9: 1 870.00000 cents 9: 1 890.00000 cents 9: 4 900.00000 cents 9: 1 907.00000 cents 9: 1 933.00000 cents 9: 2 940.00000 cents 10: 2 960.00000 cents 10: 1 970.00000 cents 10: 1 993.00000 cents 10: 4 1000.00000 cents 10: 1 1007.00000 cents 10: 1 1030.00000 cents 10: 2 1040.00000 cents 11: 3 1060.00000 cents 11: 1 1067.00000 cents 11: 1 1090.00000 cents 11: 2 1100.00000 cents 11: 1 1110.00000 cents 11: 1 1133.00000 cents 11: 3 1140.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.72727 = 74/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 140.0 200.0 310.0 400.0 540.0 640.0 700.0 833.0 900.0 1040.0 1100.0 1200.0 140.0 : 60.0 170.0 260.0 400.0 500.0 560.0 693.0 760.0 900.0 960.0 1060.0 1200.0 200.0 : 110.0 200.0 340.0 440.0 500.0 633.0 700.0 840.0 900.0 1000.0 1140.0 1200.0 310.0 : 90.0 230.0 330.0 390.0 523.0 590.0 730.0 790.0 890.0 1030.0 1090.0 1200.0 400.0 : 140.0 240.0 300.0 433.0 500.0 640.0 700.0 800.0 940.0 1000.0 1110.0 1200.0 540.0 : 100.0 160.0 293.0 360.0 500.0 560.0 660.0 800.0 860.0 970.0 1060.0 1200.0 640.0 : 60.0 193.0 260.0 400.0 460.0 560.0 700.0 760.0 870.0 960.0 1100.0 1200.0 700.0 : 133.0 200.0 340.0 400.0 500.0 640.0 700.0 810.0 900.0 1040.0 1140.0 1200.0 833.0 : 67.0 207.0 267.0 367.0 507.0 567.0 677.0 767.0 907.0 1007.0 1067.0 1200.0 900.0 : 140.0 200.0 300.0 440.0 500.0 610.0 700.0 840.0 940.0 1000.0 1133.0 1200.0 1040.0: 60.0 160.0 300.0 360.0 470.0 560.0 700.0 800.0 860.0 993.0 1060.0 1200.0 1100.0: 100.0 240.0 300.0 410.0 500.0 640.0 740.0 800.0 933.0 1000.0 1140.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 60.0000 .. 140.0000 cents 80.00000 cents 60.00000 cents 2: 160.0000 .. 240.0000 cents 80.00000 cents 20.00000 cents 3: 260.0000 .. 340.0000 cents 80.00000 cents 20.00000 cents 4: 360.0000 .. 440.0000 cents 80.00000 cents 20.00000 cents 5: 460.0000 .. 540.0000 cents 80.00000 cents 20.00000 cents 6: 560.0000 .. 640.0000 cents 80.00000 cents 20.00000 cents 7: 660.0000 .. 740.0000 cents 80.00000 cents 20.00000 cents 8: 760.0000 .. 840.0000 cents 80.00000 cents 20.00000 cents 9: 860.0000 .. 940.0000 cents 80.00000 cents 20.00000 cents 10: 960.0000 .. 1040.0000 cents 80.00000 cents 20.00000 cents 11: 1060.0000 .. 1140.0000 cents 80.00000 cents 20.00000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 60.00000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 140.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.400000 Largest / Smallest step : 2.333333 Median interval of one step : 100.00000 cents, amount: 2 Least squares average step : 101.80615 cents, oct.: 1221.67385 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 140 200 310 400 540 640 700 833 900 1040 1100 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 773 of 773.000 cents and inv. generated superset size: 581 = 569 more = 4841.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDAEBFGABE Step pattern size order : GAECGDAFBGAD Scale is a Constant Structure, by a margin of 20.00000 cents Scale diversity : 1.602858 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.266667 Rothenberg efficiency : 0.269781 redundancy: 0.730219 Efficiency x scale size : 3.237374 Number of different interval sizes : 74 = 6.72727 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 6.72727 = 74/11 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 7.00000 cents Most common intervals : 500.00000 cents & inv., amount: 7 Most common triad is 0.0 500.000 700.000 cents, amount: 4 Number of recognisable fifths : 8, average 699.1250 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 25.1479 c. M: 40.0000 c. Twelve-tone Chromatic (1/11-comma) 13: 2 0 1 1 2 1 1 1 1 1 1 1 N D3 SD: 24.4601 c. M:-44.6154 c. 15: 2 1 1 1 2 1 1 1 1 2 1 1 P D3 SD: 19.9771 c. M:-40.0000 c. 16: 2 1 1 1 2 2 0 2 1 2 1 1 N D3 SD: 18.9605 c. M:-35.0000 c. 17: 2 1 2 1 2 1 1 2 1 2 1 1 P M ME SD: 20.2751 c. M:-42.9412 c. 19: 2 1 2 1 2 2 1 2 1 2 1 2 P M ME SD: 18.3333 c. M: 34.7368 c. Yasser's Supradiatonic, Genus diatonico-chromaticum inverse 20: 2 1 2 2 2 2 1 2 1 2 1 2 N D3 SD: 15.6764 c. M:-20.0000 c. 22: 3 1 2 1 3 2 1 2 2 2 1 2 N D3 SD: 15.5494 c. M:-27.2727 c. 23: 3 1 2 2 2 2 1 3 1 3 1 2 P SD: 12.4641 c. M: 21.7391 c. 24: 3 1 2 2 3 2 1 3 1 3 1 2 P T3 SD: 8.1086 c. M:-17.0000 c. 35: 4 2 3 3 4 3 1 4 2 4 2 3 P SD: 8.6446 c. M: 14.2857 c. 36: 4 2 3 3 4 3 2 4 2 4 2 3 SP T3 SD: 4.8122 c. M: 10.0000 c. 53: 6 3 5 4 6 4 3 6 3 6 3 4 SP SD: 5.2794 c. M:-9.4340 c. 58: 7 3 5 4 7 5 3 6 3 7 3 5 P SD: 5.1257 c. M: 10.3448 c. 60: 7 3 5 5 7 5 3 7 3 7 3 5 SP T3 SD: 3.5237 c. M: 10.0000 c. 65: 8 3 6 5 7 6 3 7 4 7 4 5 SP SD: 5.0511 c. M:-7.6923 c. 67: 8 3 6 5 8 6 3 7 4 8 3 6 P SD: 4.8168 c. M: 9.1194 c. 68: 8 3 7 5 8 5 4 7 4 8 3 6 P SD: 4.8691 c. M:-7.6471 c. 69: 8 4 6 5 8 6 3 8 4 8 3 6 SP SD: 3.7691 c. M:-8.6957 c. 76: 9 4 7 5 9 7 3 9 4 9 4 6 P SD: 4.3990 c. M:-7.3684 c. 77: 9 4 7 6 9 6 4 9 4 9 4 6 SP SD: 4.2528 c. M:-8.5584 c. 82: 10 4 7 6 10 7 4 9 5 9 4 7 P SD: 3.8738 c. M:-7.3171 c. 84: 10 4 8 6 10 7 4 9 5 10 4 7 SP SD: 2.4261 c. M: 4.4286 c. 96: 11 5 9 7 11 8 5 11 5 11 5 8 SP SD: 2.0716 c. M:-4.5000 c. 112: 13 6 10 8 13 10 5 13 6 13 6 9 SP SD: 2.6840 c. M: 4.2857 c. 113: 13 6 10 9 13 9 6 12 7 13 6 9 SP SD: 2.6454 c. M: 4.6814 c. 120: 14 6 11 9 14 10 6 13 7 14 6 10 SP SD: 0.8660 c. M: 3.0000 c. 144: 17 7 13 11 17 12 7 16 8 17 7 12 SP SD: 1.0801 c. M:-1.6667 c. 180: 21 9 16 14 21 15 9 20 10 21 9 15 SP SD: 0.9670 c. M: 3.3333 c. 204: 24 10 19 15 24 17 10 23 11 24 10 17 SP SD: 1.0768 c. M:-2.2941 c. 216: 25 11 20 16 25 18 11 24 12 25 11 18 SP SD: 0.7236 c. M:-1.1111 c. 240: 28 12 22 18 28 20 12 27 13 28 12 20 SP SD: 0.5774 c. M:-2.0000 c. 324: 38 16 30 24 38 27 16 36 18 38 16 27 SP SD: 0.5432 c. M:-1.1111 c. 336: 39 17 31 25 39 28 17 37 19 39 17 28 SP SD: 0.5233 c. M: 0.8571 c. 360: 42 18 33 27 42 30 18 40 20 42 18 30 SP SD: 0.0962 c. M:-0.3333 c. 840: 98 42 77 63 98 70 42 93 47 98 42 70 SP SD: 0.0412 c. M: 0.1429 c. 1200: 140 60 110 90 140 100 60 133 67 140 60 100 SP SD: 0.0000 c. M:-0.0000 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: 0.9775 cents 3 x x x x 4 x x x 5 x x 6 S SD: 14.9253 cents 4 x x x 5 x x 6 x 7 x x 8 S SD: 17.5502 cents 5 x x 6 x 7 x x 8 x 9 x 10 S SD: 10.4193 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.4834 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.0872 cents 8 x 9 x 10:11 x 12:13 x x 15:16 SD: 3.2851 cents 9 x 10:11 x 12:13 x x 15:16:17:18 SD: 9.3995 cents 10:11 x 12:13:14 x 15:16:17:18:19:20 S SD: 8.2190 cents 11:12 x 13:14:15:16 x 18:19:20:21:22 S SD: 6.2115 cents 12:13 x 14:15:16:17:18:19:20:22:23:24 S SD: 7.9302 cents 13:14:15 x 16:18:19 x 21:22:24:25:26 SD: 8.0668 cents 14:15:16:17:18:19:20:21:23:24 x 26:28 SD: 7.3544 cents 15:16:17:18:19:20:22 x 24:25:27:28:30 SD: 6.4179 cents 16:17:18:19:20:22:23:24:26:27:29:30:32 SD: 3.9028 cents 17:18:19:20:21:23:25 x 28:29:31:32:34 SD: 7.2478 cents 18 x 20:22:23:25:26:27:29:30:33:34:36 SD: 5.4011 cents 19 x 21:23:24:26 x 28:31:32:35:36:38 SD: 5.0657 cents 20:22 x 24:25:27:29:30:32:34:36:38:40 SD: 4.6576 cents 22:24:25:26:28:30:32:33:36:37:40:42:44 SD: 3.8928 cents 24:26:27:29:30:33:35:36:39:40:44:45:48 SD: 3.0591 cents 32:35:36:38:40:44:46:48:52:54:58:60:64 SD: 2.8801 cents 34:37:38:41:43:46:49:51:55:57:62:64:68 SD: 2.2492 cents 46:50:52:55:58:63:67:69:74:77:84:87:92 SD: 1.8602 cents 47:51:53:56:59:64:68:70:76:79:86:89:94 SD: 1.5718 cents 50:54:56:60:63:68:72:75:81:84:91:94:100 SD: 1.4442 cents 58:63:65:69:73:79:84:87:94:98:106:109:116 SD: 1.4144 cents 60:65:67:72:76:82:87:90:97:101:109:113:120 SD: 1.3873 cents 62:67:70:74:78:85:90:93:100:104:113:117:124 SD: 1.3826 cents 71:77:80:85:89:97:103:106:115:119:129:134:142 SD: 1.3356 cents 72:78:81:86:91:98:104:108:116:121:131:136:144 SD: 1.1120 cents 73:79:82:87:92:100:106:109:118:123:133:138:146 SD: 1.0684 cents 81:88:91:97:102:111:117:121:131:136:148:153:162 SD: 0.8751 cents 92:100:103:110:116:126:133:138:149:155:168:174:184 SD: 0.8245 cents 96:104:108:115:121:131:139:144:155:161:175:181:192 SD: 0.7167 cents 107:116:120:128:135:146:155:160:173:180:195:202:214 SD: 0.4492 cents 154:167:173:184:194:210:223:231:249:259:281:291:308 SD: 0.4184 cents 188:204:211:225:237:257:272:282:304:316:343:355:376 SD: 0.2985 cents 204:221:229:244:257:279:295:306:330:343:372:385:408 SD: 0.2956 cents 251:272:282:300:316:343:363:376:406:422:458:474:502 SD: 0.2783 cents 261:283:293:312:329:357:378:391:422:439:476:493:522 SD: 0.2757 cents 285:309:320:341:359:389:412:427:461:479:520:538:570 SD: 0.2541 cents 295:320:331:353:372:403:427:442:477:496:538:557:590 SD: 0.1962 cents 311:337:349:372:392:425:450:466:503:523:567:587:622 SD: 0.1410 cents 393:426:441:470:495:537:569:589:636:661:717:742:786 SD: 0.1392 cents 465:504:522:556:586:635:673:697:752:782:848:878:930 SD: 0.1322 cents 500:542:561:598:630:683:724:749:809:841:912:944:1000 SD: 0.1161 cents