Scala analysis: edo-08
8 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 150.000 cents 150.000000 2: 300.000 cents 300.000000 3: 450.000 cents 450.000000 4: 600.000 cents 600.000000 5: 750.000 cents 750.000000 6: 900.000 cents 900.000000 7: 1050.000 cents 1050.000000 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 150.0000 cents 150.0000 1: 150.0000 cents 150.0000 2: 150.0000 cents 150.0000 3: 150.0000 cents 150.0000 4: 150.0000 cents 150.0000 5: 150.0000 cents 150.0000 6: 150.0000 cents 150.0000 7: 150.0000 cents 150.0000 8: 150.0000 cents 150.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 150.00000 cents 2: 8 300.00000 cents 3: 8 450.00000 cents 4: 8 600.00000 cents 5: 8 750.00000 cents 6: 8 900.00000 cents 7: 8 1050.00000 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 150.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 300.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 450.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 600.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 750.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 900.0 : 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 1050.0: 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 150.0000 .. 150.0000 cents 1/1, 0.0000 cents 150.00000 cents 2: 300.0000 .. 300.0000 cents 1/1, 0.0000 cents 150.00000 cents 3: 450.0000 .. 450.0000 cents 1/1, 0.0000 cents 150.00000 cents 4: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 150.00000 cents 5: 750.0000 .. 750.0000 cents 1/1, 0.0000 cents 150.00000 cents 6: 900.0000 .. 900.0000 cents 1/1, 0.0000 cents 150.00000 cents 7: 1050.0000 .. 1050.0000 cents 1/1, 0.0000 cents 150.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 150.00000 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 150.00000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 150.00000 cents, amount: 8 Most common interval of one step : 150.00000 cents, amount: 8 Least squares average step : 150.00000 cents, oct.: 1200.00000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 150.00000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.125000 redundancy: 0.875000 Efficiency x scale size : 1.000000 Number of different interval sizes : 7 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I 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 x 3 x x 4 S SD: 24.0225 cents 3 x x 4 x x 5 x 6 S SD: 16.8423 cents 4 x x 5 x 6:7 x 8 S SD: 26.3406 cents 5 x 6 x 7:8 x 9:10 S SD: 15.0418 cents 6 x 7:8 x 9:10:11:12 S SD: 12.8660 cents 7 x 8:9:10:11:12:13:14 S SD: 12.6890 cents 8:9 x 10:11:12:13:15:16 SD: 18.4291 cents 9:10:11:12:13:14:15:17:18 SD: 12.5122 cents 10:11:12:13:14:15:17:18:20 SD: 8.3845 cents 16:17:19:21:23:25:27:29:32 SD: 8.1298 cents 17:19:20:22:24:26:29:31:34 SD: 6.9526 cents 19:21:23:25:27:29:32:35:38 SD: 6.3421 cents 20:22:24:26:28:31:34:37:40 SD: 4.7481 cents 22:24:26:29:31:34:37:40:44 SD: 4.3179 cents 26:28:31:34:37:40:44:48:52 SD: 4.1102 cents 31:34:37:40:44:48:52:57:62 SD: 2.3103 cents 41:45:49:53:58:63:69:75:82 SD: 2.1322 cents 43:47:51:56:61:66:72:79:86 SD: 1.9934 cents 44:48:52:57:62:68:74:81:88 SD: 1.8339 cents 53:58:63:69:75:82:89:97:106 SD: 1.4505 cents 67:73:80:87:95:103:113:123:134 SD: 1.4476 cents 68:74:81:88:96:105:114:125:136 SD: 1.2123 cents 78:85:93:101:110:120:131:143:156 SD: 1.0900 cents 85:93:101:110:120:131:143:156:170 SD: 0.9693 cents 101:110:120:131:143:156:170:185:202 SD: 0.6277 cents 142:155:169:184:201:219:239:260:284 SD: 0.5450 cents 164:179:195:213:232:253:276:301:328 SD: 0.4441 cents 179:195:213:232:253:276:301:328:358 SD: 0.3704 cents 222:242:264:288:314:342:373:407:444 SD: 0.3436 cents 232:253:276:301:328:358:390:425:464 SD: 0.3276 cents 242:264:288:314:342:373:407:444:484 SD: 0.3001 cents 290:316:345:376:410:447:488:532:580 SD: 0.2719 cents 321:350:382:416:454:495:540:589:642 SD: 0.2461 cents 333:363:396:432:471:514:560:611:666 SD: 0.2415 cents 343:374:408:445:485:529:577:629:686 SD: 0.1275 cents 529:577:629:686:748:816:890:970:1058 SD: 0.1211 cents 596:650:709:773:843:919:1002:1093:1192 SD: 0.1195 cents