Scala analysis: Ghana_Tomora_Mesengo
Tomora Mesengo (Kora), Ghana
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 230.000 cents 230.000000 2: 325.000 cents 325.000000 3: 500.000 cents 500.000000 4: 700.000 cents 700.000000 5: 930.000 cents 930.000000 6: 1025.000 cents 1025.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 175.0000 cents 175.0000 1: 230.0000 cents 230.0000 2: 95.0000 cents 95.0000 3: 175.0000 cents 175.0000 4: 200.0000 cents 200.0000 5: 230.0000 cents 230.0000 6: 95.0000 cents 95.0000 7: 175.0000 cents 175.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 95.00000 cents 1: 2 175.00000 cents 1: 1 200.00000 cents 1: 2 230.00000 cents 2: 2 270.00000 cents 2: 2 325.00000 cents 2: 1 375.00000 cents 2: 1 405.00000 cents 2: 1 430.00000 cents 3: 1 470.00000 cents 3: 4 500.00000 cents 3: 1 525.00000 cents 3: 1 605.00000 cents 4: 1 595.00000 cents 4: 1 675.00000 cents 4: 4 700.00000 cents 4: 1 730.00000 cents 5: 1 770.00000 cents 5: 1 795.00000 cents 5: 1 825.00000 cents 5: 2 875.00000 cents 5: 2 930.00000 cents 6: 2 970.00000 cents 6: 1 1000.00000 cents 6: 2 1025.00000 cents 6: 2 1105.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.33333 = 13/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 230.0 325.0 500.0 700.0 930.0 1025.0 1200.0 230.0 : 95.0 270.0 470.0 700.0 795.0 970.0 1200.0 325.0 : 175.0 375.0 605.0 700.0 875.0 1105.0 1200.0 500.0 : 200.0 430.0 525.0 700.0 930.0 1025.0 1200.0 700.0 : 230.0 325.0 500.0 730.0 825.0 1000.0 1200.0 930.0 : 95.0 270.0 500.0 595.0 770.0 970.0 1200.0 1025.0: 175.0 405.0 500.0 675.0 875.0 1105.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 230.0000 cents 135.00000 cents 95.00000 cents 2: 270.0000 .. 430.0000 cents 160.00000 cents 40.00000 cents 3: 470.0000 .. 605.0000 cents 135.00000 cents 40.00000 cents 4: 595.0000 .. 730.0000 cents 135.00000 cents -10.00000 cents 5: 770.0000 .. 930.0000 cents 160.00000 cents 40.00000 cents 6: 970.0000 .. 1105.0000 cents 135.00000 cents 40.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 230.00000 cents Average / Smallest step : 1.804511 Largest / Average step : 1.341667 Largest / Smallest step : 2.421053 Median interval of one step : 175.00000 cents, amount: 2 Least squares average step : 174.14286 cents, oct.: 1219.00000 cents Scale is not proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 46 65 100 140 186 205 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 151 of 755.000 cents and inv. generated superset size: 46 = 39 more = 657.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDABC Step pattern size order : DABCDAB Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.573811 Lumma stability : 0.291667 Lumma impropriety factor : 0.008333 Rothenberg efficiency : 0.421769 redundancy: 0.578231 Efficiency x scale size : 2.952381 Number of different interval sizes : 26 = 4.33333 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.33333 = 13/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 10.00000 cents Most common intervals : 500.00000 cents & inv., amount: 4 Number of recognisable fifths : 4, average 700.0000 cents Scale is Dorian octave species of abstract tetrachord Scale contains two identical disjunct tetrachords Best minor thirds form a closed circle Formal octave complements present : 3 = 42.8571% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.7978 c. M: 72.8571 c. Lebeng 9: 2 0 2 1 2 1 1 N D3 SD: 35.2879 c. M: 58.3333 c. 10: 2 1 1 2 2 1 1 P D3 S SD: 29.3987 c. M:-55.0000 c. Pseudo Rast 11: 2 1 2 1 3 0 2 N SD: 35.5103 c. M:-51.8182 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 20.8738 c. M: 30.0000 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 14: 3 1 2 2 3 1 2 P T3 SD: 15.3150 c. M:-27.1429 c. 19: 4 1 3 3 4 1 3 N SD: 12.8928 c. M:-22.6316 c. 21: 4 2 3 3 4 2 3 SP T3 SD: 11.8850 c. M:-17.8571 c. 22: 4 2 3 4 4 2 3 P SD: 7.9883 c. M: 11.8182 c. Raga Kharaharapriya, Bhimpalasi 26: 5 2 4 4 5 2 4 P SD: 6.1298 c. M: 9.6154 c. 36: 7 3 5 6 7 3 5 P SD: 4.7975 c. M:-8.3333 c. 41: 8 3 6 7 8 3 6 N SD: 3.4252 c. M:-6.5854 c. 48: 9 4 7 8 9 4 7 P SD: 2.6726 c. M: 5.0000 c. 62: 12 5 9 10 12 5 9 P SD: 2.5002 c. M:-4.0323 c. 67: 13 5 10 11 13 5 10 N SD: 2.3290 c. M: 4.1045 c. 84: 16 7 12 14 16 7 12 P SD: 2.0561 c. M:-3.5714 c. 89: 17 7 13 15 17 7 13 N SD: 0.8709 c. M: 1.4045 c. 151: 29 12 22 25 29 12 22 N SD: 0.5133 c. M:-0.8278 c. 240: 46 19 35 40 46 19 35 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.9775 cents 3 x x 4 x 5 x 6 S SD: 15.2277 cents 4 x 5 x 6:7 x 8 S SD: 18.1498 cents 5 x 6:7:8 x 9:10 S SD: 28.1959 cents 6:7 x 8:9:10:11:12 S SD: 10.5985 cents 7:8 x 9:11:12:13:14 SD: 19.1567 cents 8:9:10:11:12:14 x 16 S SD: 15.4424 cents 9:10:11:12:13:15:16:18 SD: 14.0753 cents 10:11:12:13:15:17:18:20 SD: 11.6023 cents 11 x 13:15:16:19:20:22 SD: 12.5189 cents 12:14 x 16:18:21:22:24 S SD: 9.8151 cents 14:16:17:19:21:24:25:28 SD: 5.3665 cents 20:23:24:27:30:34:36:40 SD: 4.0420 cents 28:32:34:37:42:48:51:56 SD: 3.5447 cents 30:34:36:40:45:51:54:60 SD: 3.0516 cents 38:43:46:51:57:65:69:76 SD: 3.0006 cents 42:48:51:56:63:72:76:84 SD: 1.7243 cents 48:55:58:64:72:82:87:96 SD: 1.2459 cents 62:71:75:83:93:106:112:124 SD: 1.2384 cents 63:72:76:84:94:108:114:126 SD: 1.1978 cents 72:82:87:96:108:123:130:144 SD: 1.0169 cents 92:105:111:123:138:157:166:184 SD: 0.9638 cents 98:112:118:131:147:168:177:196 SD: 0.8507 cents 111:127:134:148:166:190:201:222 SD: 0.8357 cents 120:137:145:160:180:205:217:240 SD: 0.6945 cents 125:143:151:167:187:214:226:250 SD: 0.6875 cents 126:144:152:168:189:216:228:252 SD: 0.6680 cents 135:154:163:180:202:231:244:270 SD: 0.5558 cents 141:161:170:188:211:241:255:282 SD: 0.5444 cents 155:177:187:207:232:265:280:310 SD: 0.3964 cents 197:225:238:263:295:337:356:394 SD: 0.3786 cents 203:232:245:271:304:347:367:406 SD: 0.3493 cents 218:249:263:291:327:373:394:436 SD: 0.2869 cents 233:266:281:311:349:399:421:466 SD: 0.2685 cents 281:321:339:375:421:481:508:562 SD: 0.1188 cents