Scala analysis: Ethiopia_Anchihoye
Anchihoye (Baganna or Krar or Masinko), Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 135.000 cents 135.000000 2: 495.000 cents 495.000000 3: 615.000 cents 615.000000 4: 960.000 cents 960.000000 5: 1195.000 cents 1195.000000
SHOW/INTERVAL
0: 235.0000 cents 235.0000 1: 135.0000 cents 135.0000 2: 360.0000 cents 360.0000 3: 120.0000 cents 120.0000 4: 345.0000 cents 345.0000 5: 235.0000 cents 235.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.00000 cents 1: 1 135.00000 cents 1: 1 235.00000 cents 1: 1 345.00000 cents 1: 1 360.00000 cents 2: 1 370.00000 cents 2: 1 465.00000 cents 2: 1 480.00000 cents 2: 1 495.00000 cents 2: 1 580.00000 cents 3: 1 615.00000 cents 3: 1 700.00000 cents 3: 1 715.00000 cents 3: 1 730.00000 cents 3: 1 825.00000 cents 4: 1 835.00000 cents 4: 1 850.00000 cents 4: 1 960.00000 cents 4: 1 1060.00000 cents 4: 1 1075.00000 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 : 135.0 495.0 615.0 960.0 1195.0 135.0 : 360.0 480.0 825.0 1060.0 1195.0 495.0 : 120.0 465.0 700.0 835.0 1195.0 615.0 : 345.0 580.0 715.0 1075.0 1195.0 960.0 : 235.0 370.0 730.0 850.0 1195.0 1195.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.0000 .. 360.0000 cents 240.00000 cents 120.00000 cents 2: 370.0000 .. 580.0000 cents 210.00000 cents 10.00000 cents 3: 615.0000 .. 825.0000 cents 210.00000 cents 35.00000 cents 4: 835.0000 .. 1075.0000 cents 240.00000 cents 10.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 120.00000 cents, class 1 Average step (divided formal octave): 239.0000 cents Largest one step interval : 360.00000 cents Average / Smallest step : 1.991667 Largest / Average step : 1.506276 Largest / Smallest step : 3.000000 Median interval of one step : 235.00000 cents, amount: 1 Least squares average step : 232.45455 cents, oct.: 1162.27273 cents Scale is strictly proper Scale is a mode of a 239-tone equal temperament with octave 1195.000 cents degrees: 27 99 123 192 239 Least number of segments generator : 120 of 600.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 215 of 1075.000 cents and inv. generated superset size: 36 = 31 more = 720.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BEADC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.606801 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.246862 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 : 10.00000 cents Number of recognisable fifths : 2, average 707.5000 cents Number of appreciable fifths : 1, average 700.0000 cents Number of recognisable fourths : 1, average 495.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 65.6125 c. M:-104.0000 c. 6: 1 2 0 2 1 P D3 I SD: 56.9454 c. M:-102.5000 c. 7: 1 2 1 2 1 P M ME I SD: 45.4018 c. M:-67.8571 c. Thai mode 2 8: 1 2 1 2 2 P M ME S SD: 36.8082 c. M: 63.7500 c. 9: 1 3 1 2 2 P D3 S SD: 30.4392 c. M:-48.8889 c. 10: 1 3 1 3 2 P T3 SD: 13.0499 c. M: 17.5000 c. 19: 2 6 2 5 4 P SD: 11.1425 c. M: 16.5789 c. 25: 3 7 3 7 5 SP T3 SD: 9.1271 c. M: 17.0000 c. 27: 3 8 3 8 5 P T3 SD: 7.4907 c. M:-13.7037 c. 29: 3 9 3 8 6 P SD: 7.6058 c. M: 12.2414 c. 36: 4 11 4 10 7 P SD: 7.3038 c. M:-15.6944 c. 37: 4 11 4 11 7 P T3 SD: 6.7267 c. M: 10.5405 c. 39: 4 12 4 11 8 P SD: 7.5430 c. M: 12.4359 c. 41: 5 12 4 12 8 SP SD: 5.0462 c. M:-10.7317 c. 44: 5 13 5 12 9 SP SD: 6.6415 c. M:-9.6591 c. 45: 5 14 4 13 9 P SD: 5.1005 c. M:-9.5556 c. 46: 5 14 5 13 9 P SD: 4.5035 c. M:-8.4783 c. 50: 6 15 5 14 10 SP SD: 5.9183 c. M:-8.4000 c. 51: 6 15 5 15 10 SP SD: 3.8421 c. M: 5.7843 c. 60: 7 18 6 17 12 SP SD: 3.1577 c. M:-4.4167 c. 62: 7 19 6 18 12 P SD: 3.3009 c. M:-6.1290 c. 70: 8 21 7 20 14 SP SD: 1.9317 c. M: 4.0000 c. 72: 8 22 7 21 14 P SD: 2.0603 c. M:-2.9167 c. 80: 9 24 8 23 16 SP SD: 2.3297 c. M: 4.0000 c. 82: 9 25 8 24 16 P SD: 2.3198 c. M: 3.8415 c. 87: 10 26 9 25 17 SP SD: 1.8806 c. M:-3.1034 c. 97: 11 29 10 28 19 SP SD: 1.1831 c. M: 2.2165 c. 132: 15 40 13 38 26 SP SD: 1.3893 c. M:-2.9167 c. 142: 16 43 14 41 28 SP SD: 0.8082 c. M:-1.5141 c. 167: 19 50 17 48 33 SP SD: 0.8883 c. M: 1.2575 c. 169: 19 51 17 49 33 SP SD: 0.8001 c. M:-1.6568 c. 229: 26 69 23 66 45 SP SD: 0.5699 c. M:-0.7642 c. 239: 27 72 24 69 47 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 5.0000 cents 2 x x 3 x 4 S SD: 43.5493 cents 3 x 4 x 5:6 S SD: 25.2892 cents 4 x 5:6:7:8 S SD: 34.8898 cents 5 x x 7:9:10 SD: 22.1053 cents 8:9:11 x 14:16 SD: 22.3931 cents 9:10:12:13:16:18 SD: 12.7298 cents 11:12:15:16:19:22 SD: 11.5835 cents 12:13:16:17:21:24 SD: 3.2798 cents 39:42:52:56:68:78 SD: 2.9255 cents 49:53:65:70:85:98 SD: 2.0632 cents 51:55:68:73:89:102 SD: 2.0288 cents 61:66:81:87:106:122 SD: 1.4832 cents 73:79:97:104:127:146 SD: 1.3178 cents 96:104:128:137:167:191 SD: 1.2823 cents 100:108:133:143:174:199 SD: 1.2212 cents 108:117:144:154:188:215 SD: 1.1294 cents 112:121:149:160:195:223 SD: 0.7956 cents 124:134:165:177:216:247 SD: 0.5134 cents 136:147:181:194:237:271 SD: 0.4195 cents 185:200:246:264:322:369 SD: 0.3731 cents 197:213:262:281:343:393 SD: 0.3003 cents 321:347:427:458:559:640 SD: 0.2379 cents 333:360:443:475:580:664 SD: 0.2190 cents 347:375:462:495:604:692 SD: 0.1944 cents 359:388:478:512:625:716 SD: 0.1878 cents 483:522:643:689:841:963 SD: 0.1558 cents 532:575:708:759:926:1061 SD: 0.1468 cents 541:585:720:772:942:1079 SD: 0.1462 cents 544:588:724:776:947:1085 SD: 0.1054 cents