Scala analysis: Ethiopia_Mus_02_Bati_Zafan
Mus 2 Bati Zafan, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 380.000 cents 380.000000 2: 513.000 cents 513.000000 3: 716.000 cents 716.000000 4: 1119.000 cents 1119.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 81.0000 cents 81.0000 1: 380.0000 cents 380.0000 2: 133.0000 cents 133.0000 3: 203.0000 cents 203.0000 4: 403.0000 cents 403.0000 5: 81.0000 cents 81.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.00000 cents 1: 1 133.00000 cents 1: 1 203.00000 cents 1: 1 380.00000 cents 1: 1 403.00000 cents 2: 1 336.00000 cents 2: 1 461.00000 cents 2: 1 484.00000 cents 2: 1 513.00000 cents 2: 1 606.00000 cents 3: 1 594.00000 cents 3: 1 687.00000 cents 3: 1 716.00000 cents 3: 1 739.00000 cents 3: 1 864.00000 cents 4: 1 797.00000 cents 4: 1 820.00000 cents 4: 1 997.00000 cents 4: 1 1067.00000 cents 4: 1 1119.00000 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 : 380.0 513.0 716.0 1119.0 1200.0 380.0 : 133.0 336.0 739.0 820.0 1200.0 513.0 : 203.0 606.0 687.0 1067.0 1200.0 716.0 : 403.0 484.0 864.0 997.0 1200.0 1119.0: 81.0 461.0 594.0 797.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.0000 .. 403.0000 cents 322.00000 cents 81.00000 cents 2: 336.0000 .. 606.0000 cents 270.00000 cents -67.00000 cents 3: 594.0000 .. 864.0000 cents 270.00000 cents -12.00000 cents 4: 797.0000 .. 1119.0000 cents 322.00000 cents -67.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 81.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 403.00000 cents Average / Smallest step : 2.962963 Largest / Average step : 1.679167 Largest / Smallest step : 4.975309 Median interval of one step : 203.00000 cents, amount: 1 Least squares average step : 255.09091 cents, oct.: 1275.45455 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 380 513 716 1119 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 809 of 809.000 cents and inv. generated superset size: 230 = 225 more = 4600.000% 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 12.00000 cents Scale diversity : 1.713306 Lumma stability : 0.135000 Lumma impropriety factor : 0.121667 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 : 12.00000 cents Number of recognisable fifths : 2, average 701.5000 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 2 0 1 2 0 N T3 SD: 59.4407 c. M:-100.0000 c. 7: 2 1 1 2 1 P M ME S SD: 45.7729 c. M: 90.4286 c. Thai mode 6 8: 2 1 2 2 1 P M ME S SD: 57.0719 c. M: 80.0000 c. Agmon Diatonic DS1 9: 3 1 1 3 1 N M DE S SD: 34.6006 c. M: 52.3333 c. Pelog Pancanada: Sunda 10: 3 1 2 3 1 P T3 SD: 24.6008 c. M: 39.0000 c. Pelog Degung: Sunda 12: 4 1 2 4 1 N T3 SD: 15.4013 c. M:-20.0000 c. Ionian Pentatonic, Raga Gambhiranata, Pelog Degung Modern, Ryukyu: Japan, Vong co: Vietnam, Batti Major: Ethiopia 16: 5 2 3 5 1 P SD: 16.4985 c. M:-34.0000 c. 17: 5 2 3 6 1 N SD: 16.1214 c. M: 27.0588 c. 18: 6 2 3 6 1 N SD: 16.2440 c. M:-20.3333 c. 19: 6 2 3 7 1 N SD: 12.8952 c. M: 21.2632 c. 25: 8 3 4 8 2 N SD: 9.8184 c. M:-15.0000 c. 28: 9 3 5 9 2 N SD: 6.5509 c. M:-12.5714 c. 32: 10 4 5 11 2 N SD: 6.5917 c. M:-12.0000 c. 35: 11 4 6 12 2 N SD: 6.0048 c. M:-12.4286 c. 40: 13 4 7 13 3 N SD: 6.4187 c. M:-10.0000 c. 42: 13 5 7 14 3 N SD: 4.4785 c. M: 8.5714 c. 44: 14 5 7 15 3 N SD: 3.9639 c. M: 6.9091 c. 45: 14 5 8 15 3 N SD: 4.5068 c. M: 6.6667 c. 47: 15 5 8 16 3 N SD: 2.6485 c. M:-4.4043 c. 72: 23 8 12 24 5 N SD: 2.4676 c. M:-3.6667 c. 75: 24 8 13 25 5 N SD: 2.6077 c. M:-4.0000 c. 89: 28 10 15 30 6 N SD: 1.3017 c. M: 2.4719 c. 117: 37 13 20 39 8 N SD: 1.0196 c. M:-1.9487 c. 136: 43 15 23 46 9 N SD: 1.1017 c. M:-1.5882 c. 161: 51 18 27 54 11 N SD: 0.7572 c. M:-1.2857 c. 164: 52 18 28 55 11 N SD: 0.6782 c. M:-1.0732 c. 206: 65 23 35 69 14 N SD: 0.7144 c. M: 1.3592 c. 208: 66 23 35 70 14 N SD: 0.4973 c. M:-0.7692 c. 253: 80 28 43 85 17 N SD: 0.4564 c. M: 0.7470 c. 297: 94 33 50 100 20 N SD: 0.4037 c. M: 0.8485 c. 325: 103 36 55 109 22 N SD: 0.2433 c. M:-0.3077 c. 414: 131 46 70 139 28 N SD: 0.1514 c. M: 0.2899 c. 578: 183 64 98 194 39 N SD: 0.1509 c. M:-0.2630 c. 622: 197 69 105 209 42 N SD: 0.1402 c. M: 0.2444 c. 739: 234 82 125 248 50 N SD: 0.1127 c. M: 0.1908 c. 786: 249 87 133 264 53 N SD: 0.0798 c. M:-0.1527 c. 875: 277 97 148 294 59 N SD: 0.0904 c. M: 0.1143 c. 1200: 380 133 203 403 81 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: 7.0225 cents 3 x 4:5 x 6 S SD: 56.3405 cents 4:5 x 6 x 8 S SD: 5.1330 cents 5:6:7:8 x 10 S SD: 34.0189 cents 6:7:8:9:11:12 SD: 26.8838 cents 7:9 x 11:13:14 SD: 24.6127 cents 8:10:11:12:15:16 S SD: 10.2952 cents 12:15:16:18:23:24 SD: 4.5359 cents 20:25:27:30:38:40 SD: 3.6927 cents 29:36:39:44:55:58 SD: 2.7195 cents 37:46:50:56:71:74 SD: 2.5900 cents 41:51:55:62:78:82 SD: 1.4886 cents 66:82:89:100:126:132 SD: 1.4202 cents 78:97:105:118:149:156 SD: 0.6950 cents 90:112:121:136:172:180 SD: 0.6057 cents 119:148:160:180:227:238 SD: 0.5369 cents 131:163:176:198:250:262 SD: 0.5167 cents 142:177:191:215:271:284 SD: 0.5163 cents 154:192:207:233:294:308 SD: 0.4556 cents 195:243:262:295:372:390 SD: 0.4442 cents 209:260:281:316:399:418 SD: 0.4256 cents 220:274:296:333:420:440 SD: 0.3663 cents 232:289:312:351:443:464 SD: 0.2412 cents 252:314:339:381:481:504 SD: 0.1990 cents 293:365:394:443:559:586 SD: 0.1736 cents 330:411:444:499:630:660 SD: 0.1714 cents 371:462:499:561:708:742 SD: 0.0711 cents