Scala analysis: Ghana_Sauta
Sauta (Kora), Ghana
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 185.000 cents 185.000000 2: 405.000 cents 405.000000 3: 605.000 cents 605.000000 4: 700.000 cents 700.000000 5: 885.000 cents 885.000000 6: 1105.000 cents 1105.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 95.0000 cents 95.0000 1: 185.0000 cents 185.0000 2: 220.0000 cents 220.0000 3: 200.0000 cents 200.0000 4: 95.0000 cents 95.0000 5: 185.0000 cents 185.0000 6: 220.0000 cents 220.0000 7: 95.0000 cents 95.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 95.00000 cents 1: 2 185.00000 cents 1: 1 200.00000 cents 1: 2 220.00000 cents 2: 2 280.00000 cents 2: 1 295.00000 cents 2: 1 315.00000 cents 2: 2 405.00000 cents 2: 1 420.00000 cents 3: 1 480.00000 cents 3: 4 500.00000 cents 3: 1 515.00000 cents 3: 1 605.00000 cents 4: 1 595.00000 cents 4: 1 685.00000 cents 4: 4 700.00000 cents 4: 1 720.00000 cents 5: 1 780.00000 cents 5: 2 795.00000 cents 5: 1 885.00000 cents 5: 1 905.00000 cents 5: 2 920.00000 cents 6: 2 980.00000 cents 6: 1 1000.00000 cents 6: 2 1015.00000 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 : 185.0 405.0 605.0 700.0 885.0 1105.0 1200.0 185.0 : 220.0 420.0 515.0 700.0 920.0 1015.0 1200.0 405.0 : 200.0 295.0 480.0 700.0 795.0 980.0 1200.0 605.0 : 95.0 280.0 500.0 595.0 780.0 1000.0 1200.0 700.0 : 185.0 405.0 500.0 685.0 905.0 1105.0 1200.0 885.0 : 220.0 315.0 500.0 720.0 920.0 1015.0 1200.0 1105.0: 95.0 280.0 500.0 700.0 795.0 980.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 220.0000 cents 125.00000 cents 95.00000 cents 2: 280.0000 .. 420.0000 cents 140.00000 cents 60.00000 cents 3: 480.0000 .. 605.0000 cents 125.00000 cents 60.00000 cents 4: 595.0000 .. 720.0000 cents 125.00000 cents -10.00000 cents 5: 780.0000 .. 920.0000 cents 140.00000 cents 60.00000 cents 6: 980.0000 .. 1105.0000 cents 125.00000 cents 60.00000 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 : 220.00000 cents Average / Smallest step : 1.804511 Largest / Average step : 1.283333 Largest / Smallest step : 2.315789 Median interval of one step : 185.00000 cents, amount: 2 Least squares average step : 179.03571 cents, oct.: 1253.25000 cents Scale is not proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 37 81 121 140 177 221 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 187 of 935.000 cents and inv. generated superset size: 52 = 45 more = 742.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDABD Step pattern size order : BDCABDA Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.472981 Lumma stability : 0.358333 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 : 5, average 704.0000 cents Number of appreciable fifths : 4, average 700.0000 cents Scale is Hypolydian octave species of abstract tetrachord Scale contains two identical disjunct "tetrachords" of 3 notes Best major thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 52.2308 c. M: 90.7143 c. Lebeng 8: 1 2 1 1 1 1 1 P M ME S SD: 35.9066 c. M: 55.0000 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 36.4985 c. M: 65.0000 c. 12: 2 2 2 1 2 2 1 P M ME S SD: 8.6603 c. M:-15.0000 c. G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Chandrakant, Malarani, Shuddh Kalyan, Ping, Kung, Gu: China 26: 4 5 4 2 4 5 2 P T3 SD: 6.1487 c. M:-10.3846 c. 38: 6 7 6 3 6 7 3 P T3 SD: 3.8535 c. M:-5.5263 c. 53: 8 10 9 4 8 10 4 N SD: 3.5566 c. M:-6.3208 c. 60: 9 11 10 5 9 11 5 P SD: 4.2258 c. M: 5.0000 c. 65: 10 12 11 5 10 12 5 N SD: 2.0814 c. M:-4.2308 c. 77: 12 14 13 6 12 14 6 N SD: 1.9556 c. M:-3.3117 c. 103: 16 19 17 8 16 19 8 N SD: 1.4481 c. M:-2.7670 c. 125: 19 23 21 10 19 23 10 N SD: 1.4599 c. M: 2.6000 c. 137: 21 25 23 11 21 25 11 N SD: 1.0887 c. M: 2.0803 c. 163: 25 30 27 13 25 30 13 N SD: 0.9238 c. M: 1.5644 c. 175: 27 32 29 14 27 32 14 N SD: 0.7731 c. M: 1.5714 c. 202: 31 37 34 16 31 37 16 N SD: 0.7249 c. M: 1.0396 c. 228: 35 42 38 18 35 42 18 N SD: 0.4558 c. M: 0.7895 c. 240: 37 44 40 19 37 44 19 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 4 x x 5 x 6 S SD: 31.0157 cents 4 x 5 x 6:7 x 8 S SD: 21.4764 cents 5 x 6:7 x 8:9:10 S SD: 29.1312 cents 6:7:8 x 9:10:11:12 S SD: 22.6446 cents 7:8:9:10:11:12:13:14 H SD: 16.5512 cents 8:9:10:11:12:13:15:16 SD: 10.9265 cents 9:10:11:13 x 15:17:18 SD: 10.9789 cents 10:11:13:14:15:17:19:20 SD: 9.5848 cents 11:12:14:16 x 18:21:22 S SD: 11.1863 cents 12:13:15:17:18:20:23:24 SD: 7.7820 cents 16:18:20:23:24:27:30:32 SD: 6.3368 cents 18:20:23:26:27:30:34:36 SD: 5.3476 cents 19:21:24:27:28:32:36:38 SD: 5.1108 cents 24:27:30:34:36:40:45:48 SD: 4.5061 cents 26:29:33:37:39:43:49:52 SD: 2.7566 cents 34:38:43:48:51:57:64:68 SD: 2.5434 cents 38:42:48:54:57:63:72:76 SD: 2.2613 cents 45:50:57:64:67:75:85:90 SD: 1.9314 cents 46:51:58:65:69:77:87:92 SD: 1.7473 cents 54:60:68:77:81:90:102:108 SD: 1.7358 cents 60:67:76:85:90:100:114:120 SD: 1.4367 cents 64:71:81:91:96:107:121:128 SD: 1.3333 cents 72:80:91:102:108:120:136:144 SD: 0.7929 cents 114:127:144:162:171:190:216:228 SD: 0.6631 cents 132:147:167:187:198:220:250:264 SD: 0.5565 cents 141:157:178:200:211:235:267:282 SD: 0.4248 cents 186:207:235:264:279:310:352:372 SD: 0.3613 cents 205:228:259:291:307:342:388:410 SD: 0.3230 cents 213:237:269:302:319:355:403:426 SD: 0.2602 cents 265:295:335:376:397:442:502:530 SD: 0.2525 cents 273:304:345:387:409:455:517:546 SD: 0.2468 cents 301:335:380:427:451:502:570:602 SD: 0.2460 cents 327:364:413:464:490:545:619:654 SD: 0.2059 cents 337:375:426:478:505:562:638:674 SD: 0.1236 cents 478:532:604:678:716:797:905:956 SD: 0.0828 cents 550:612:695:780:824:917:1041:1100 SD: 0.0718 cents