Scala analysis: Ghana_Tomora_Ba
Tomora Ba (Kora), Ghana
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 385.000 cents 385.000000 3: 500.000 cents 500.000000 4: 700.000 cents 700.000000 5: 900.000 cents 900.000000 6: 1085.000 cents 1085.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.0000 cents 115.0000 1: 200.0000 cents 200.0000 2: 185.0000 cents 185.0000 3: 115.0000 cents 115.0000 4: 200.0000 cents 200.0000 5: 200.0000 cents 200.0000 6: 185.0000 cents 185.0000 7: 115.0000 cents 115.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 115.00000 cents 1: 2 185.00000 cents 1: 3 200.00000 cents 2: 2 300.00000 cents 2: 2 315.00000 cents 2: 2 385.00000 cents 2: 1 400.00000 cents 3: 5 500.00000 cents 3: 1 515.00000 cents 3: 1 585.00000 cents 4: 1 615.00000 cents 4: 1 685.00000 cents 4: 5 700.00000 cents 5: 1 800.00000 cents 5: 2 815.00000 cents 5: 2 885.00000 cents 5: 2 900.00000 cents 6: 3 1000.00000 cents 6: 2 1015.00000 cents 6: 2 1085.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 200.0 385.0 500.0 700.0 900.0 1085.0 1200.0 200.0 : 185.0 300.0 500.0 700.0 885.0 1000.0 1200.0 385.0 : 115.0 315.0 515.0 700.0 815.0 1015.0 1200.0 500.0 : 200.0 400.0 585.0 700.0 900.0 1085.0 1200.0 700.0 : 200.0 385.0 500.0 700.0 885.0 1000.0 1200.0 900.0 : 185.0 300.0 500.0 685.0 800.0 1000.0 1200.0 1085.0: 115.0 315.0 500.0 615.0 815.0 1015.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 115.0000 .. 200.0000 cents 85.00000 cents 115.00000 cents 2: 300.0000 .. 400.0000 cents 100.00000 cents 100.00000 cents 3: 500.0000 .. 585.0000 cents 85.00000 cents 100.00000 cents 4: 615.0000 .. 700.0000 cents 85.00000 cents 30.00000 cents 5: 800.0000 .. 900.0000 cents 100.00000 cents 100.00000 cents 6: 1000.0000 .. 1085.0000 cents 85.00000 cents 100.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 115.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 200.00000 cents Average / Smallest step : 1.490683 Largest / Average step : 1.166667 Largest / Smallest step : 1.739130 Median interval of one step : 185.00000 cents, amount: 2 Most common interval of one step : 200.00000 cents, amount: 3 Least squares average step : 176.28571 cents, oct.: 1234.00000 cents Scale is strictly proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 40 77 100 140 180 217 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 139 of 695.000 cents and inv. generated superset size: 81 = 74 more = 1157.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCAABC Step pattern size order : LMSLLMS Scale is a Constant Structure, by a margin of 30.00000 cents Scale diversity : 1.378190 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.550000 Rothenberg efficiency : 0.540136 redundancy: 0.459864 Efficiency x scale size : 3.780952 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 15.00000 cents Most common intervals : 500.00000 cents & inv., amount: 5 Most common triad is 0.0 500.000 700.000 cents, amount: 3 Number of recognisable fifths : 5, average 700.0000 cents Scale is Phrygian octave species of abstract tetrachord Scale is Dorian octave species of abstract tetrachord Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 42.8571% Limited inverse transpositions with margin 100.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 33.8514 c. M: 56.4286 c. Lebeng 10: 2 1 1 2 1 2 1 P M ME S SD: 30.8221 c. M: 60.0000 c. Sethares Neutral, Beatles-7, Dichotic-7 12: 2 2 1 2 2 2 1 P M ME S SD: 8.0178 c. M:-15.0000 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 19: 3 3 2 3 3 3 2 SP M ME S SD: 9.1041 c. M: 15.7895 c. Nineteen-tone Major, Ionian 28: 5 4 3 4 5 4 3 SP T3 SD: 10.6700 c. M: 14.2857 c. 29: 5 4 3 5 5 4 3 SP SD: 7.7485 c. M: 12.5862 c. 31: 5 5 3 5 5 5 3 SP M DE S SD: 4.8071 c. M: 9.6774 c. Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian 41: 7 6 4 7 7 6 4 SP SD: 4.0336 c. M:-7.3171 c. 43: 7 7 4 7 7 7 4 SP M DE S SD: 4.2251 c. M: 6.9767 c. Forty-three tone Major 53: 9 8 5 9 9 8 5 SP SD: 2.8441 c. M:-5.6604 c. Makam Sazkar 60: 10 9 6 10 10 9 6 SP SD: 2.6726 c. M: 5.0000 c. 65: 11 10 6 11 11 10 6 SP SD: 2.9435 c. M:-4.6154 c. 72: 12 11 7 12 12 11 7 SP SD: 0.8909 c. M: 1.6667 c. Xenakis Byzantine Liturgical Diatonic, Misaelides 4th plagal Byzantine 84: 14 13 8 14 14 13 8 SP SD: 0.3818 c. M:-0.7143 c. 156: 26 24 15 26 26 24 15 SP SD: 0.2056 c. M: 0.3846 c. 240: 40 37 23 40 40 37 23 SP 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: 5.2543 cents 4 x 5 x 6:7 x 8 S SD: 17.2165 cents 5 x 6:7 x 8:9:10 S SD: 30.7325 cents 6:7 x 8:9:10:11:12 S SD: 12.9035 cents 7:8:9 x 11:12:13:14 SD: 17.9192 cents 8:9:10:11:12:13:15:16 SD: 11.2504 cents 10:11 x 13:15:17:19:20 SD: 11.0035 cents 12:13:15:16:18:20:22:24 SD: 10.3975 cents 15:17:19:20:22:25:28:30 SD: 7.1426 cents 16:18:20:21:24:27:30:32 S SD: 4.3323 cents 24:27:30:32:36:40:45:48 S SD: 2.3904 cents 32:36:40:43:48:54:60:64 SD: 2.0131 cents 48:54:60:64:72:81:90:96 S SD: 1.1930 cents 72:81:90:96:108:121:135:144 SD: 0.8686 cents 108:121:135:144:162:182:202:216 SD: 0.8205 cents 116:130:145:155:174:195:217:232 SD: 0.5941 cents 132:148:165:176:198:222:247:264 SD: 0.5179 cents 164:184:205:219:246:276:307:328 SD: 0.4091 cents 173:194:216:231:259:291:324:346 SD: 0.3814 cents 221:248:276:295:331:372:414:442 SD: 0.3460 cents 245:275:306:327:367:412:459:490 SD: 0.2739 cents 277:311:346:370:415:466:518:554 SD: 0.2710 cents 293:329:366:391:439:493:548:586 SD: 0.2241 cents 317:356:396:423:475:533:593:634 SD: 0.1969 cents 409:459:511:546:613:688:765:818 SD: 0.1875 cents 418:469:522:558:626:703:782:836 SD: 0.1826 cents 433:486:541:578:649:728:810:866 SD: 0.1729 cents 466:523:582:622:698:784:872:932 SD: 0.1277 cents 490:550:612:654:734:824:917:980 SD: 0.0694 cents