Scala analysis: Ethiopia_Mus_07_1976
Mus 7 - 1976, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 355.000 cents 355.000000 2: 531.000 cents 531.000000 3: 765.000 cents 765.000000 4: 1054.000 cents 1054.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 146.0000 cents 146.0000 1: 355.0000 cents 355.0000 2: 176.0000 cents 176.0000 3: 234.0000 cents 234.0000 4: 289.0000 cents 289.0000 5: 146.0000 cents 146.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 146.00000 cents 1: 1 176.00000 cents 1: 1 234.00000 cents 1: 1 289.00000 cents 1: 1 355.00000 cents 2: 1 410.00000 cents 2: 1 435.00000 cents 2: 1 501.00000 cents 2: 1 523.00000 cents 2: 1 531.00000 cents 3: 1 669.00000 cents 3: 1 677.00000 cents 3: 1 699.00000 cents 3: 1 765.00000 cents 3: 1 790.00000 cents 4: 1 845.00000 cents 4: 1 911.00000 cents 4: 1 966.00000 cents 4: 1 1024.00000 cents 4: 1 1054.00000 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 : 355.0 531.0 765.0 1054.0 1200.0 355.0 : 176.0 410.0 699.0 845.0 1200.0 531.0 : 234.0 523.0 669.0 1024.0 1200.0 765.0 : 289.0 435.0 790.0 966.0 1200.0 1054.0: 146.0 501.0 677.0 911.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 146.0000 .. 355.0000 cents 209.00000 cents 146.00000 cents 2: 410.0000 .. 531.0000 cents 121.00000 cents 55.00000 cents 3: 669.0000 .. 790.0000 cents 121.00000 cents 138.00000 cents 4: 845.0000 .. 1054.0000 cents 209.00000 cents 55.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 146.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 355.00000 cents Average / Smallest step : 1.643836 Largest / Average step : 1.479167 Largest / Smallest step : 2.431507 Median interval of one step : 234.00000 cents, amount: 1 Least squares average step : 253.23636 cents, oct.: 1266.18182 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 355 531 765 1054 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 761 of 761.000 cents and inv. generated superset size: 172 = 167 more = 3440.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EBCDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 55.00000 cents Scale diversity : 1.644487 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.450000 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 : 8.00000 cents Number of recognisable fifths : 1, average 699.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 179.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 73.0575 c. M: 115.0000 c. 6: 2 1 1 1 1 P M ME S SD: 46.7483 c. M:-69.0000 c. 7: 2 1 1 2 1 P M ME S SD: 38.3657 c. M: 79.2857 c. Thai mode 6 9: 3 1 2 2 1 P D3 S SD: 26.1377 c. M:-45.0000 c. 11: 3 2 2 3 1 SP D3 S SD: 21.6420 c. M:-36.9091 c. 14: 4 2 3 3 2 SP D3 S SD: 14.9315 c. M: 25.4286 c. 16: 5 2 3 4 2 P SD: 11.6362 c. M:-20.0000 c. 23: 7 3 5 5 3 SP D3 S SD: 11.0538 c. M:-17.6087 c. 25: 7 4 5 6 3 SP SD: 8.7521 c. M: 19.0000 c. 27: 8 4 5 7 3 SP SD: 7.1470 c. M:-12.6667 c. 30: 9 4 6 7 4 SP SD: 8.5674 c. M: 14.0000 c. 31: 9 5 6 7 4 SP SD: 8.0741 c. M:-10.9355 c. 33: 10 5 6 8 4 SP SD: 7.5588 c. M:-14.4545 c. 34: 10 5 7 8 4 SP SD: 5.6851 c. M:-11.4706 c. 41: 12 6 8 10 5 SP SD: 3.0984 c. M: 4.1707 c. 50: 15 7 10 12 6 SP SD: 3.0659 c. M:-5.0000 c. 74: 22 11 14 18 9 SP SD: 2.3766 c. M:-4.1351 c. 75: 22 11 15 18 9 SP SD: 2.4900 c. M:-3.0000 c. 88: 26 13 17 21 11 SP SD: 1.9357 c. M: 4.0000 c. 91: 27 13 18 22 11 SP SD: 1.7002 c. M: 3.5275 c. 108: 32 16 21 26 13 SP SD: 1.4799 c. M:-2.3333 c. 122: 36 18 24 29 15 SP SD: 1.2734 c. M:-2.2131 c. 138: 41 20 27 33 17 SP SD: 1.0970 c. M: 1.8261 c. 149: 44 22 29 36 18 SP SD: 0.5967 c. M:-1.0336 c. 237: 70 35 46 57 29 SP SD: 0.5719 c. M: 0.8354 c. 287: 85 42 56 69 35 SP SD: 0.2457 c. M:-0.4007 c. 436: 129 64 85 105 53 SP SD: 0.1222 c. M:-0.1927 c. 723: 214 106 141 174 88 SP SD: 0.1215 c. M:-0.1867 c. 764: 226 112 149 184 93 SP SD: 0.0697 c. M: 0.1099 c. 1200: 355 176 234 289 146 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: 31.5225 cents 3 x 4:5 x 6 S SD: 41.2749 cents 4:5 x 6:7:8 S SD: 27.6245 cents 5:6:7:8:9:10 H SD: 17.7744 cents 8:10:11:12:15:16 S SD: 16.1770 cents 9:11:12:14:17:18 SD: 11.5878 cents 12:15:16:19:22:24 SD: 10.9943 cents 13:16:18:20:24:26 SD: 7.7278 cents 14:17:19:22:26:28 SD: 6.2634 cents 22:27:30:34:40:44 SD: 4.5864 cents 25:31:34:39:46:50 SD: 3.6392 cents 31:38:42:48:57:62 SD: 1.9946 cents 36:44:49:56:66:72 SD: 1.8619 cents 56:69:76:87:103:112 SD: 1.4500 cents 61:75:83:95:112:122 SD: 0.8936 cents 92:113:125:143:169:184 SD: 0.4253 cents 162:199:220:252:298:324 SD: 0.4046 cents 167:205:227:260:307:334 SD: 0.2919 cents 198:243:269:308:364:396 SD: 0.1344 cents 259:318:352:403:476:518 SD: 0.1283 cents 457:561:621:711:840:914 SD: 0.0558 cents