Scala analysis: Ethiopia_Mus_01_Yammatbal
Mus 1 Yammatbal, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 322.000 cents 322.000000 2: 505.000 cents 505.000000 3: 688.000 cents 688.000000 4: 1049.000 cents 1049.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 151.0000 cents 151.0000 1: 322.0000 cents 322.0000 2: 183.0000 cents 183.0000 3: 183.0000 cents 183.0000 4: 361.0000 cents 361.0000 5: 151.0000 cents 151.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 151.00000 cents 1: 2 183.00000 cents 1: 1 322.00000 cents 1: 1 361.00000 cents 2: 1 366.00000 cents 2: 1 473.00000 cents 2: 1 505.00000 cents 2: 1 512.00000 cents 2: 1 544.00000 cents 3: 1 656.00000 cents 3: 1 688.00000 cents 3: 1 695.00000 cents 3: 1 727.00000 cents 3: 1 834.00000 cents 4: 1 839.00000 cents 4: 1 878.00000 cents 4: 2 1017.00000 cents 4: 1 1049.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 322.0 505.0 688.0 1049.0 1200.0 322.0 : 183.0 366.0 727.0 878.0 1200.0 505.0 : 183.0 544.0 695.0 1017.0 1200.0 688.0 : 361.0 512.0 834.0 1017.0 1200.0 1049.0: 151.0 473.0 656.0 839.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 151.0000 .. 361.0000 cents 210.00000 cents 151.00000 cents 2: 366.0000 .. 544.0000 cents 178.00000 cents 5.00000 cents 3: 656.0000 .. 834.0000 cents 178.00000 cents 112.00000 cents 4: 839.0000 .. 1049.0000 cents 210.00000 cents 5.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 151.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 361.00000 cents Average / Smallest step : 1.589404 Largest / Average step : 1.504167 Largest / Smallest step : 2.390728 Median interval of one step : 183.00000 cents, amount: 2 Most common interval of one step : 183.00000 cents, amount: 2 Least squares average step : 247.12727 cents, oct.: 1235.63636 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 322 505 688 1049 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1087 of 1087.000 cents and inv. generated superset size: 195 = 190 more = 3900.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCD Step pattern size order : CBBDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.498928 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.353333 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4.5 Lowest interval variety : 4 Smallest interval difference : 5.00000 cents Most common intervals : 183.00000 cents & inv., amount: 2 Most common triad is 0.0 183.000 1017.000 cents, amount: 1 Number of recognisable fifths : 2, average 691.5000 cents Number of appreciable fifths : 1, average 695.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 210.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 57.0859 c. M: 89.0000 c. 7: 2 1 1 2 1 P M ME S SD: 13.7390 c. M:-20.8571 c. Thai mode 6 19: 5 3 3 6 2 P SD: 11.7757 c. M:-24.6842 c. 23: 6 4 3 7 3 P SD: 9.8566 c. M:-16.7391 c. 26: 7 4 4 8 3 P SD: 6.0692 c. M:-12.5385 c. 31: 8 5 5 9 4 SP SD: 7.0245 c. M: 12.3226 c. 33: 9 5 5 10 4 P SD: 4.0927 c. M:-5.5455 c. 64: 17 10 10 19 8 SP SD: 3.0393 c. M:-5.7500 c. 71: 19 11 11 21 9 SP SD: 2.4799 c. M:-4.9577 c. 78: 21 12 12 23 10 SP SD: 2.6482 c. M:-4.3077 c. 79: 21 12 12 24 10 P SD: 2.9557 c. M: 4.4557 c. 85: 23 13 13 25 11 SP SD: 3.1749 c. M: 4.2941 c. 86: 23 13 13 26 11 P SD: 2.5612 c. M: 4.2791 c. 93: 25 14 14 28 12 P SD: 2.6559 c. M: 4.1290 c. 96: 26 14 15 29 12 P SD: 2.6552 c. M: 5.0000 c. 97: 26 15 15 29 12 SP SD: 2.6230 c. M:-4.7835 c. 104: 28 16 16 31 13 SP SD: 2.3649 c. M:-4.3077 c. 105: 28 16 16 32 13 P SD: 1.9857 c. M:-2.4286 c. 112: 30 17 17 34 14 P SD: 1.3109 c. M: 2.2857 c. 119: 32 18 18 36 15 P SD: 1.1318 c. M: 2.2857 c. 145: 39 22 22 44 18 P SD: 1.0920 c. M:-2.0345 c. 150: 40 23 23 45 19 SP SD: 1.0954 c. M: 2.0000 c. 152: 41 23 23 46 19 P SD: 1.0244 c. M:-1.6842 c. 157: 42 24 24 47 20 SP SD: 0.9745 c. M: 1.8662 c. 176: 47 27 27 53 22 SP SD: 0.8944 c. M: 1.5455 c. 183: 49 28 28 55 23 SP SD: 0.3971 c. M: 0.6885 c. 190: 51 29 29 57 24 SP SD: 0.3443 c. M: 0.5789 c. 302: 81 46 46 91 38 SP SD: 0.3142 c. M: 0.5828 c. 335: 90 51 51 101 42 SP SD: 0.3219 c. M:-0.5522 c. 373: 100 57 57 112 47 SP SD: 0.2664 c. M:-0.4718 c. 485: 130 74 74 146 61 SP SD: 0.2106 c. M: 0.3505 c. 492: 132 75 75 148 62 SP SD: 0.1439 c. M: 0.2195 c. 675: 181 103 103 203 85 SP SD: 0.1217 c. M: 0.2222 c. 708: 190 108 108 213 89 SP SD: 0.1000 c. M:-0.1525 c. 1010: 271 154 154 304 127 SP SD: 0.0648 c. M:-0.1089 c. 1200: 322 183 183 361 151 SP 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: 6.9775 cents 3 x 4 x x 6 S SD: 3.4775 cents 4:5 x 6:7:8 S SD: 25.9313 cents 5:6:7 x 9:10 SD: 20.9684 cents 6:7:8:9:11:12 SD: 11.4586 cents 14:17:19:21:26:28 SD: 7.6703 cents 18:22:24:27:33:36 SD: 5.9626 cents 20:24:27:30:37:40 SD: 5.3062 cents 23:28:31:34:42:46 SD: 5.1099 cents 24:29:32:36:44:48 SD: 3.3157 cents 29:35:39:43:53:58 SD: 2.3464 cents 35:42:47:52:64:70 SD: 1.9308 cents 53:64:71:79:97:106 SD: 1.2269 cents 59:71:79:88:108:118 SD: 0.9964 cents 88:106:118:131:161:176 SD: 0.8753 cents 103:124:138:153:189:206 SD: 0.7698 cents 113:136:151:168:207:226 SD: 0.7614 cents 121:146:162:180:222:242 SD: 0.7187 cents 127:153:170:189:233:254 SD: 0.3381 cents 162:195:217:241:297:324 SD: 0.3091 cents 215:259:288:320:394:430 SD: 0.2567 cents 269:324:360:400:493:538 SD: 0.2535 cents 289:348:387:430:530:578 SD: 0.2227 cents 328:395:439:488:601:656 SD: 0.1509 cents 455:548:609:677:834:910 SD: 0.0631 cents