Scala analysis: Ghana_Hardino
Hardino (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: 500.000 cents 500.000000 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: 95.0000 cents 95.0000 4: 200.0000 cents 200.0000 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: 1 280.00000 cents 2: 1 295.00000 cents 2: 2 315.00000 cents 2: 1 385.00000 cents 2: 2 405.00000 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: 2 795.00000 cents 5: 1 815.00000 cents 5: 2 885.00000 cents 5: 1 905.00000 cents 5: 1 920.00000 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 : 185.0 405.0 500.0 700.0 885.0 1105.0 1200.0 185.0 : 220.0 315.0 515.0 700.0 920.0 1015.0 1200.0 405.0 : 95.0 295.0 480.0 700.0 795.0 980.0 1200.0 500.0 : 200.0 385.0 605.0 700.0 885.0 1105.0 1200.0 700.0 : 185.0 405.0 500.0 685.0 905.0 1000.0 1200.0 885.0 : 220.0 315.0 500.0 720.0 815.0 1015.0 1200.0 1105.0: 95.0 280.0 500.0 595.0 795.0 980.0 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 .. 405.0000 cents 125.00000 cents 60.00000 cents 3: 480.0000 .. 605.0000 cents 125.00000 cents 75.00000 cents 4: 595.0000 .. 720.0000 cents 125.00000 cents -10.00000 cents 5: 795.0000 .. 920.0000 cents 125.00000 cents 75.00000 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 : 176.78571 cents, oct.: 1237.50000 cents Scale is not proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 37 81 100 140 177 221 240 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: 72 = 65 more = 1028.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDABC Step pattern size order : BDACBDA Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.485679 Lumma stability : 0.383333 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 Dorian octave species of abstract tetrachord Scale contains two identical disjunct tetrachords Best major thirds form a closed circle 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: 39.7697 c. M: 76.4286 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 40.5322 c. M: 55.0000 c. 9: 1 2 1 1 2 1 1 P M ME S SD: 35.2992 c. M: 51.6667 c. Pelog Saptanada: Sunda 10: 1 2 1 2 1 2 1 P M ME I SD: 37.2252 c. M: 65.0000 c. 11: 2 2 1 1 2 2 1 P D3 S SD: 30.6271 c. M: 45.4545 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 8.4515 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 26: 4 5 2 4 4 5 2 P SD: 6.5336 c. M:-10.3846 c. 38: 6 7 3 6 6 7 3 P SD: 3.9033 c. M:-5.5263 c. 50: 8 9 4 8 8 9 4 P SD: 3.7796 c. M:-7.0000 c. 53: 8 10 4 9 8 10 4 N SD: 2.7296 c. M:-4.4340 c. 65: 10 12 5 11 10 12 5 N SD: 1.4537 c. M:-2.6923 c. 103: 16 19 8 17 16 19 8 N SD: 1.4609 c. M:-2.7670 c. 125: 19 23 10 21 19 23 10 N SD: 1.4890 c. M: 2.6000 c. 137: 21 25 11 23 21 25 11 N SD: 1.0984 c. M: 2.0803 c. 163: 25 30 13 27 25 30 13 N SD: 0.8116 c. M: 1.5644 c. 175: 27 32 14 29 27 32 14 N SD: 0.5399 c. M: 1.0000 c. 228: 35 42 18 38 35 42 18 N SD: 0.4448 c. M: 0.7895 c. 240: 37 44 19 40 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 x 4 x 5 x 6 S SD: 0.6858 cents 4 x 5 x 6:7 x 8 S SD: 21.4764 cents 5 x 6:7 x 8:9:10 S SD: 33.1773 cents 6:7 x 8:9:10:11:12 S SD: 16.5045 cents 7:8:9 x 11:12:13:14 SD: 19.1972 cents 8:9:10:11:12:13:15:16 SD: 10.6922 cents 10:11 x 13:15:17:19:20 SD: 10.0970 cents 12:13:15:16:18:20:23:24 SD: 7.7818 cents 16:18:20:21:24:27:30:32 S SD: 6.8208 cents 18:20:23:24:27:30:34:36 SD: 2.8764 cents 36:40:45:48:54:60:68:72 SD: 2.7834 cents 38:42:48:51:57:63:72:76 SD: 2.5858 cents 42:47:53:56:63:70:80:84 SD: 2.1130 cents 45:50:57:60:67:75:85:90 SD: 1.8284 cents 54:60:68:72:81:90:102:108 SD: 1.1549 cents 72:80:91:96:108:120:136:144 SD: 0.7907 cents 114:127:144:152:171:190:216:228 SD: 0.5371 cents 141:157:178:188:211:235:267:282 SD: 0.5079 cents 159:177:201:212:238:265:301:318 SD: 0.4079 cents 205:228:259:274:307:342:388:410 SD: 0.4055 cents 213:237:269:284:319:355:403:426 SD: 0.3731 cents 247:275:312:330:370:412:468:494 SD: 0.3556 cents 265:295:335:354:397:442:502:530 SD: 0.2984 cents 301:335:380:402:451:502:570:602 SD: 0.2738 cents 311:346:393:415:466:519:589:622 SD: 0.2627 cents 319:355:403:426:478:532:604:638 SD: 0.1392 cents 391:435:494:522:586:652:740:782 SD: 0.1329 cents 478:532:604:638:716:797:905:956 SD: 0.0833 cents