Scala analysis: Ethiopia_Mus_05_Yammatbal
Mus 5 Yammatbal, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 333.000 cents 333.000000 2: 505.000 cents 505.000000 3: 700.000 cents 700.000000 4: 1090.000 cents 1090.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 110.0000 cents 110.0000 1: 333.0000 cents 333.0000 2: 172.0000 cents 172.0000 3: 195.0000 cents 195.0000 4: 390.0000 cents 390.0000 5: 110.0000 cents 110.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 110.00000 cents 1: 1 172.00000 cents 1: 1 195.00000 cents 1: 1 333.00000 cents 1: 1 390.00000 cents 2: 1 367.00000 cents 2: 1 443.00000 cents 2: 1 500.00000 cents 2: 1 505.00000 cents 2: 1 585.00000 cents 3: 1 615.00000 cents 3: 1 695.00000 cents 3: 1 700.00000 cents 3: 1 757.00000 cents 3: 1 833.00000 cents 4: 1 810.00000 cents 4: 1 867.00000 cents 4: 1 1005.00000 cents 4: 1 1028.00000 cents 4: 1 1090.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 333.0 505.0 700.0 1090.0 1200.0 333.0 : 172.0 367.0 757.0 867.0 1200.0 505.0 : 195.0 585.0 695.0 1028.0 1200.0 700.0 : 390.0 500.0 833.0 1005.0 1200.0 1090.0: 110.0 443.0 615.0 810.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 110.0000 .. 390.0000 cents 280.00000 cents 110.00000 cents 2: 367.0000 .. 585.0000 cents 218.00000 cents -23.00000 cents 3: 615.0000 .. 833.0000 cents 218.00000 cents 30.00000 cents 4: 810.0000 .. 1090.0000 cents 280.00000 cents -23.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 110.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 390.00000 cents Average / Smallest step : 2.181818 Largest / Average step : 1.625000 Largest / Smallest step : 3.545455 Median interval of one step : 195.00000 cents, amount: 1 Least squares average step : 250.96364 cents, oct.: 1254.81818 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 333 505 700 1090 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 787 of 787.000 cents and inv. generated superset size: 160 = 155 more = 3200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DBCEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 23.00000 cents Scale diversity : 1.655567 Lumma stability : 0.208333 Lumma impropriety factor : 0.038333 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 5.00000 cents Number of recognisable fifths : 2, average 697.5000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 2 0 N T3 SD: 65.9909 c. M:-110.0000 c. 7: 2 1 1 2 1 P M ME S SD: 28.8477 c. M: 61.4286 c. Thai mode 6 10: 3 1 2 3 1 P T3 SD: 19.2562 c. M:-27.0000 c. Pelog Degung: Sunda 12: 3 2 2 4 1 P SD: 15.5820 c. M: 33.0000 c. Raga Nata, Udayaravicandrika, Madhuranjani 14: 4 2 2 5 1 N SD: 13.9805 c. M:-24.2857 c. 19: 5 3 3 6 2 P SD: 10.8644 c. M: 17.2105 c. 21: 6 3 3 7 2 N SD: 9.0093 c. M: 14.2857 c. 22: 6 3 4 7 2 P SD: 7.9351 c. M: 14.0909 c. 29: 8 4 5 9 3 P SD: 7.5764 c. M: 14.1379 c. 33: 9 5 5 11 3 N SD: 5.1577 c. M: 9.0909 c. 36: 10 5 6 12 3 N SD: 5.0022 c. M:-10.0000 c. 43: 12 6 7 14 4 N SD: 1.9370 c. M: 2.6744 c. 98: 27 14 16 32 9 N SD: 1.9321 c. M: 2.9592 c. 111: 31 16 18 36 10 N SD: 2.2407 c. M:-3.1081 c. 112: 31 16 18 37 10 N SD: 2.1769 c. M: 3.5714 c. 119: 33 17 19 39 11 N SD: 1.9595 c. M: 4.2017 c. 130: 36 19 21 42 12 N SD: 1.4619 c. M:-2.6923 c. 141: 39 20 23 46 13 N SD: 1.6948 c. M: 2.8723 c. 144: 40 21 23 47 13 N SD: 1.6733 c. M:-3.3333 c. 152: 42 22 25 49 14 N SD: 1.3631 c. M:-2.6316 c. 154: 43 22 25 50 14 N SD: 1.3422 c. M:-2.0649 c. 166: 46 24 27 54 15 N SD: 1.0173 c. M:-1.5663 c. 173: 48 25 28 56 16 N SD: 0.7934 c. M:-1.3584 c. 209: 58 30 34 68 19 N SD: 0.4743 c. M:-0.9091 c. 252: 70 36 41 82 23 N SD: 0.2809 c. M:-0.4762 c. 425: 118 61 69 138 39 N SD: 0.2323 c. M:-0.4118 c. 468: 130 67 76 152 43 N SD: 0.1966 c. M:-0.3333 c. 523: 145 75 85 170 48 N SD: 0.1976 c. M: 0.3040 c. 677: 188 97 110 220 62 N SD: 0.1527 c. M:-0.2349 c. 720: 200 103 117 234 66 N SD: 0.1491 c. M:-0.3333 c. 732: 203 105 119 238 67 N SD: 0.1257 c. M: 0.2131 c. 905: 251 130 147 294 83 N SD: 0.1311 c. M:-0.1934 c. 948: 263 136 154 308 87 N SD: 0.0747 c. M: 0.1266 c. 1157: 321 166 188 376 106 N SD: 0.0720 c. M:-0.0994 c. 1200: 333 172 195 390 110 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.9775 cents 3 x 4:5 x 6 S SD: 61.4966 cents 4:5 x 6 x 8 S SD: 17.7832 cents 6:7:8:9:11:12 SD: 15.5905 cents 8:10:11:12:15:16 S SD: 14.1344 cents 9:11:12:13:17:18 SD: 13.2594 cents 10:12:13:15:19:20 SD: 11.5478 cents 14:17:19:21:26:28 SD: 6.0317 cents 18:22:24:27:34:36 SD: 3.9079 cents 24:29:32:36:45:48 SD: 1.8343 cents 42:51:56:63:79:84 SD: 1.7447 cents 56:68:75:84:105:112 SD: 0.8291 cents 80:97:107:120:150:160 SD: 0.6187 cents 156:189:209:234:293:312 SD: 0.5575 cents 165:200:221:247:310:330 SD: 0.5021 cents 189:229:253:283:355:378 SD: 0.3677 cents 203:246:272:304:381:406 SD: 0.3661 cents 221:268:296:331:415:442 SD: 0.3240 cents 227:275:304:340:426:454 SD: 0.2570 cents 245:297:328:367:460:490 SD: 0.1557 cents 269:326:360:403:505:538 SD: 0.1507 cents 325:394:435:487:610:650 SD: 0.0946 cents 528:640:707:791:991:1056 SD: 0.0941 cents 552:669:739:827:1036:1104 SD: 0.0521 cents