Scala analysis: Ethiopia_Ambasel
Ambasel (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: 120.000 cents 120.000000 2: 465.000 cents 465.000000 3: 700.000 cents 700.000000 4: 835.000 cents 835.000000 5: 1195.000 cents 1195.000000
SHOW/INTERVAL
0: 360.0000 cents 360.0000 1: 120.0000 cents 120.0000 2: 345.0000 cents 345.0000 3: 235.0000 cents 235.0000 4: 135.0000 cents 135.0000 5: 360.0000 cents 360.0000
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 : 120.0 465.0 700.0 835.0 1195.0 120.0 : 345.0 580.0 715.0 1075.0 1195.0 465.0 : 235.0 370.0 730.0 850.0 1195.0 700.0 : 135.0 495.0 615.0 960.0 1195.0 835.0 : 360.0 480.0 825.0 1060.0 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 : 226.63636 cents, oct.: 1133.18182 cents Scale is strictly proper Scale is a mode of a 239-tone equal temperament with octave 1195.000 cents degrees: 24 93 140 167 239 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 : ADCBE 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: 76.4984 c. M:-121.0000 c. 6: 0 2 1 1 2 P D3 S SD: 78.5113 c. M: 120.0000 c. 7: 1 2 1 1 2 P M ME S SD: 32.9641 c. M:-50.7143 c. Thai mode 5 10: 1 3 2 1 3 P T3 SD: 9.5969 c. M:-17.0000 c. 29: 3 8 6 3 9 P SD: 7.3324 c. M: 11.7241 c. 31: 3 9 6 4 9 SP SD: 6.8274 c. M:-13.0645 c. 36: 4 10 7 4 11 P SD: 6.2970 c. M:-12.7778 c. 39: 4 11 8 4 12 P SD: 4.8424 c. M: 7.6923 c. 41: 4 12 8 5 12 SP SD: 4.8710 c. M:-10.2439 c. 46: 5 13 9 5 14 P SD: 4.9051 c. M:-9.8913 c. 49: 5 14 10 5 15 P SD: 4.3068 c. M:-7.2449 c. 51: 5 15 10 6 15 SP SD: 4.5309 c. M:-8.5294 c. 60: 6 17 12 7 18 SP SD: 3.4307 c. M: 6.9167 c. 62: 6 18 12 7 19 P SD: 4.4932 c. M: 6.2097 c. 67: 7 19 13 8 20 SP SD: 3.3259 c. M:-4.8507 c. 70: 7 20 14 8 21 SP SD: 1.9535 c. M: 4.0714 c. 80: 8 23 16 9 24 SP SD: 1.4497 c. M:-2.0625 c. 149: 15 43 29 17 45 SP SD: 1.0950 c. M: 2.2483 c. 152: 15 44 30 17 46 SP SD: 1.2972 c. M: 2.0724 c. 159: 16 46 31 18 48 SP SD: 0.7294 c. M: 1.0377 c. 229: 23 66 45 26 69 SP SD: 0.4191 c. M: 0.7424 c. 239: 24 69 47 27 72 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: 2.6843 cents 3 x 4 x 5:6 S SD: 19.8697 cents 4 x 5:6 x 8 S SD: 26.2897 cents 5 x x x 8:10 SD: 10.9462 cents 7:8:9 x 11:14 SD: 31.6590 cents 8:9:10:12:13:16 SD: 23.0580 cents 9:10:12:13:15:18 SD: 21.4148 cents 10:11:13:15:16:20 SD: 10.2466 cents 13:14:17:19:21:26 SD: 8.8701 cents 14:15:18:21:23:28 SD: 7.8021 cents 16:17:21:24:26:32 SD: 3.5729 cents 26:28:34:39:42:52 SD: 2.1958 cents 42:45:55:63:68:84 SD: 1.1531 cents 100:107:131:150:162:199 SD: 1.1271 cents 110:118:144:165:178:219 SD: 0.8771 cents 124:133:162:186:201:247 SD: 0.7978 cents 126:135:165:189:204:251 SD: 0.6867 cents 139:149:182:208:225:277 SD: 0.6485 cents 140:150:183:210:227:279 SD: 0.6388 cents 152:163:199:228:246:303 SD: 0.6178 cents 153:164:200:229:248:305 SD: 0.5177 cents 166:178:217:249:269:331 SD: 0.5088 cents 179:192:234:268:290:357 SD: 0.4443 cents 195:209:255:292:316:389 SD: 0.2966 cents 279:299:365:418:452:556 SD: 0.2538 cents 305:327:399:457:494:608 SD: 0.1835 cents 321:344:420:481:520:640 SD: 0.1240 cents 500:536:654:749:810:997 SD: 0.1208 cents 516:553:675:773:836:1029 SD: 0.0944 cents 542:581:709:812:878:1081 SD: 0.0828 cents