Scala analysis: igs
Seven notes of myna in 89et
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 269.663 cents 269.662920 2: 310.112 cents 310.112360 3: 579.775 cents 579.775280 4: 620.225 cents 620.224720 5: 889.888 cents 889.887640 6: 930.337 cents 930.337080 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 269.6629 cents 269.6629 1: 269.6629 cents 269.6629 2: 40.4494 cents 40.4494 3: 269.6629 cents 269.6629 4: 40.4494 cents 40.4494 5: 269.6629 cents 269.6629 6: 40.4494 cents 40.4494 7: 269.6629 cents 269.6629
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 40.44944 cents 1: 4 269.66292 cents 2: 6 310.11236 cents 2: 1 539.32584 cents 3: 2 350.56180 cents 3: 5 579.77528 cents 4: 5 620.22472 cents 4: 2 849.43820 cents 5: 1 660.67416 cents 5: 6 889.88764 cents 6: 4 930.33708 cents 6: 3 1159.55056 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 269.7 310.1 579.8 620.2 889.9 930.3 1200.0 269.7 : 40.4 310.1 350.6 620.2 660.7 930.3 1200.0 310.1 : 269.7 310.1 579.8 620.2 889.9 1159.6 1200.0 579.8 : 40.4 310.1 350.6 620.2 889.9 930.3 1200.0 620.2 : 269.7 310.1 579.8 849.4 889.9 1159.6 1200.0 889.9 : 40.4 310.1 579.8 620.2 889.9 930.3 1200.0 930.3 : 269.7 539.3 579.8 849.4 889.9 1159.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.4494 .. 269.6629 cents 229.21348 cents 40.44944 cents 2: 310.1124 .. 539.3258 cents 229.21348 cents 40.44944 cents 3: 350.5618 .. 579.7753 cents 229.21348 cents -188.76404 cents 4: 620.2247 .. 849.4382 cents 229.21348 cents 40.44944 cents 5: 660.6742 .. 889.8876 cents 229.21348 cents -188.76404 cents 6: 930.3371 .. 1159.5506 cents 229.21348 cents 40.44944 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 40.44944 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 269.66292 cents Average / Smallest step : 4.238095 Largest / Average step : 1.573034 Largest / Smallest step : 6.666666 Median interval of one step : 269.66292 cents, amount: 4 Most common interval of one step : 269.66292 cents, amount: 4 Least squares average step : 168.15409 cents, oct.: 1177.07865 cents Scale is not proper Scale has Myhill's property chromas: 229.21348 cents and 188.76404 cents, ratio: 1.214286 generators: 2 of 310.11236 cents and 5 of 889.88764 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 89-tone equal temperament with octave 2/1 degrees: 20 23 43 46 66 69 89 generators: 23 and 66 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : LSLSLSL Interval vector is [ 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 6 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 5 0 ] Scale is a Constant Structure, by a margin of 40.44944 cents Scale diversity : 1.037959 Lumma stability : 0.168539 Lumma impropriety factor : 0.314607 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 40.44944 cents Most common intervals : 310.11236 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 310.112 620.225 cents Most common triad is 0.0 310.112 889.888 cents, amount: 5 Number of recognisable fifths : 0 Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 2 0 1 1 1 0 2 N T3 I SD: 55.3392 c. M: 73.1942 c. 8: 2 0 2 0 2 0 2 N M DE I SD: 20.2247 c. M: 30.3371 c. 15: 3 1 3 1 3 1 3 N M DE I SD: 19.7753 c. M:-29.6629 c. Superkleismic-7 17: 4 0 4 1 4 0 4 N T3 I SD: 18.1950 c. M: 27.7594 c. 18: 4 1 4 0 4 1 4 N T3 I SD: 16.5377 c. M:-23.2210 c. 19: 4 1 4 1 4 1 4 N M DE I SD: 11.3542 c. M: 17.0313 c. Oljare Diminished 23: 5 1 5 1 5 1 5 N M DE I SD: 5.8622 c. M: 8.7934 c. Starlingtet-7 27: 6 1 6 1 6 1 6 N M DE I SD: 1.9975 c. M: 2.9963 c. Myna-7 31: 7 1 7 1 7 1 7 N M DE I SD: 0.8699 c. M: 1.3048 c. Myna-7 58: 13 2 13 2 13 2 13 N M DE I SD: 0.4649 c. M: 0.6974 c. Myna-7 89: 20 3 20 3 20 3 20 N M DE I SD: 0.0000 c. M: 0.0000 c.
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: 40.8651 cents 3 x x 4 x 5 x 6 S SD: 27.3057 cents 4 x 5 x 6 x 7:8 S SD: 29.5464 cents 5 x 6:7 x 8:9:10 S SD: 23.2025 cents 6:7 x 8:9:10 x 12 S SD: 23.1500 cents 7:8 x x 10 x 12:14 S SD: 9.6717 cents 8:9:10:11 x 13:14:16 SD: 20.3154 cents 9 x 11 x 13:15 x 18 SD: 10.2782 cents 10 x 12:14 x x 17:20 SD: 3.3057 cents 11:13 x 15:16:18:19:22 SD: 11.3875 cents 12:14 x x 17:20:21:24 SD: 8.5239 cents 13:15:16:18:19 x 22:26 SD: 11.6894 cents 14:16:17 x 20:23:24:28 SD: 9.2798 cents 15 x 18:21 x 25:26:30 SD: 4.6870 cents 16 x 19:22:23:27 x 32 SD: 7.1795 cents 17:20 x 24 x 28:29:34 SD: 6.7617 cents 18:21:22:25:26:30:31:36 SD: 6.2869 cents 19:22:23 x 27:32:33:38 SD: 6.7162 cents 20:23:24:28:29:33:34:40 SD: 6.3868 cents 21 x 25:29:30:35:36:42 SD: 3.9239 cents 22:26 x 31 x 37:38:44 SD: 6.1016 cents 23:27:28:32:33:38:39:46 SD: 5.9991 cents 24:28:29 x 34:40:41:48 SD: 4.2559 cents 25:29:30:35:36:42:43:50 SD: 3.0754 cents 27 x 32:38:39:45:46:54 SD: 4.5898 cents 28:33 x 39:40:47:48:56 SD: 2.9695 cents 29:34:35:41 x 48:50:58 SD: 5.5978 cents 30:35:36:42:43:50:51:60 SD: 2.1302 cents 33:39 x 46:47:55:56:66 SD: 4.4655 cents 34:40:41:48:49:57:58:68 SD: 4.1377 cents 35:41:42:49:50:59:60:70 SD: 2.3541 cents 42:49:50:59:60:70:72:84 SD: 2.0010 cents 46:54:55:64:66:77:79:92 SD: 1.9694 cents 55:64:66:77:79:92:94:110 SD: 1.7055 cents 60:70:72:84:86:100:103:120 SD: 1.5156 cents 65:76:78:91:93:109:111:130 SD: 1.2783 cents 70:82:84:98:100:117:120:140 SD: 1.2108 cents 76:89:91:106:109:127:130:152 SD: 1.0069 cents 83:97:99:116:119:139:142:166 SD: 0.9585 cents 107:125:128:150:153:179:183:214 SD: 0.7749 cents 118:138:141:165:169:197:202:236 SD: 0.5586 cents 149:174:178:208:213:249:255:298 SD: 0.5463 cents 153:179:183:214:219:256:262:306 SD: 0.4111 cents 183:214:219:256:262:306:313:366 SD: 0.3661 cents 214:250:256:299:306:358:366:428 SD: 0.3027 cents 244:285:292:341:349:408:418:488 SD: 0.2958 cents 274:320:328:383:392:458:469:548 SD: 0.2473 cents 302:353:361:422:432:505:517:604 SD: 0.2165 cents 332:388:397:464:475:555:568:664 SD: 0.1435 cents 485:567:580:678:694:811:830:970 SD: 0.1353 cents 576:673:689:805:824:963:986:1152 SD: 0.0821 cents