Scala analysis: edo-07
7 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 171.429 cents 171.428571 2: 342.857 cents 342.857143 3: 514.286 cents 514.285714 4: 685.714 cents 685.714286 5: 857.143 cents 857.142857 6: 1028.571 cents 1028.571429 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 171.4286 cents 171.4286 1: 171.4286 cents 171.4286 2: 171.4286 cents 171.4286 3: 171.4286 cents 171.4286 4: 171.4286 cents 171.4286 5: 171.4286 cents 171.4286 6: 171.4286 cents 171.4286 7: 171.4286 cents 171.4286
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 171.42857 cents 2: 7 342.85714 cents 3: 7 514.28571 cents 4: 7 685.71429 cents 5: 7 857.14286 cents 6: 7 1028.57143 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 0.0 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 171.4 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 342.9 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 514.3 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 685.7 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 857.1 : 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 1028.6: 171.4 342.9 514.3 685.7 857.1 1028.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 171.4286 .. 171.4286 cents 1/1, 0.0000 cents 171.42857 cents 2: 342.8571 .. 342.8571 cents 1/1, 0.0000 cents 171.42857 cents 3: 514.2857 .. 514.2857 cents 1/1, 0.0000 cents 171.42857 cents 4: 685.7143 .. 685.7143 cents 1/1, 0.0000 cents 171.42857 cents 5: 857.1429 .. 857.1429 cents 1/1, 0.0000 cents 171.42857 cents 6: 1028.5714 .. 1028.5714 cents 1/1, 0.0000 cents 171.42857 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 171.42857 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 171.42857 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 171.42857 cents, amount: 7 Most common interval of one step : 171.42857 cents, amount: 7 Least squares average step : 171.42857 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 171.42857 cents Ratio Whole / Half tone : 1.000000 ( 1 ) Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.142857 redundancy: 0.857143 Efficiency x scale size : 1.000000 Number of different interval sizes : 6 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 7, average 685.7143 cents Number of appreciable fifths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c. Lebeng
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 8.1204 cents 3 x x 4 x 5 x 6 S SD: 10.5644 cents 4 x 5 x 6 x 7:8 S SD: 18.9106 cents 5 x 6:7 x 8:9:10 S SD: 17.2099 cents 6 x 7:8:9:10:11:12 S SD: 14.4091 cents 7:8 x 9:10:11:13:14 SD: 24.6814 cents 8:9:10:11:12:13:15:16 SD: 13.1075 cents 9:10:11:12:13:15:16:18 SD: 9.7008 cents 14:15:17:19:21:23:25:28 SD: 8.8500 cents 17:19:21:23:25:28:31:34 SD: 5.6403 cents 20:22:24:27:30:33:36:40 S SD: 5.1315 cents 23:25:28:31:34:38:42:46 SD: 4.8794 cents 26:29:32:35:39:43:47:52 SD: 4.6403 cents 27:30:33:36:40:44:49:54 SD: 3.4394 cents 31:34:38:42:46:51:56:62 SD: 2.8845 cents 37:41:45:50:55:61:67:74 SD: 1.8929 cents 47:52:57:63:70:77:85:94 SD: 1.8701 cents 55:61:67:74:82:90:100:110 SD: 1.7935 cents 58:64:71:78:86:95:105:116 SD: 1.2728 cents 78:86:95:105:116:128:141:156 SD: 0.6862 cents 95:105:116:128:141:156:172:190 SD: 0.6807 cents 133:147:162:179:198:218:241:266 SD: 0.6132 cents 136:150:166:183:202:223:246:272 SD: 0.5785 cents 142:157:173:191:211:233:257:284 SD: 0.4594 cents 165:182:201:222:245:271:299:330 SD: 0.4541 cents 173:191:211:233:257:284:313:346 SD: 0.4020 cents 214:236:261:288:318:351:388:428 SD: 0.3925 cents 220:243:268:296:327:361:399:440 SD: 0.3741 cents 228:252:278:307:339:374:413:456 SD: 0.3262 cents 251:277:306:338:373:412:455:502 SD: 0.2745 cents 278:307:339:374:413:456:504:556 SD: 0.2649 cents 298:329:363:401:443:489:540:596 SD: 0.2321 cents 356:393:434:479:529:584:645:712 SD: 0.1013 cents 529:584:645:712:786:868:958:1058 SD: 0.0974 cents