Scala analysis: xen18-erlich-superpyth-07
5L 2s MOS for Superpyth, L=218.74, s=51.95
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 218.740 cents 218.740000 2: 270.690 cents 270.690000 3: 489.430 cents 489.430000 4: 708.170 cents 708.170000 5: 926.910 cents 926.910000 6: 978.860 cents 978.860000 7: 1197.600 cents 1197.600000
SHOW/INTERVAL
0: 218.7400 cents 218.7400 1: 218.7400 cents 218.7400 2: 51.9500 cents 51.9500 3: 218.7400 cents 218.7400 4: 218.7400 cents 218.7400 5: 218.7400 cents 218.7400 6: 51.9500 cents 51.9500 7: 218.7400 cents 218.7400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 51.95000 cents 1: 5 218.74000 cents 2: 4 270.69000 cents 2: 3 437.48000 cents 3: 6 489.43000 cents 3: 1 656.22000 cents 4: 1 541.38000 cents 4: 6 708.17000 cents 5: 3 760.12000 cents 5: 4 926.91000 cents 6: 5 978.86000 cents 6: 2 1145.65000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 218.7 270.7 489.4 708.2 926.9 978.9 1197.6 218.7 : 51.9 270.7 489.4 708.2 760.1 978.9 1197.6 270.7 : 218.7 437.5 656.2 708.2 926.9 1145.6 1197.6 489.4 : 218.7 437.5 489.4 708.2 926.9 978.9 1197.6 708.2 : 218.7 270.7 489.4 708.2 760.1 978.9 1197.6 926.9 : 51.9 270.7 489.4 541.4 760.1 978.9 1197.6 978.9 : 218.7 437.5 489.4 708.2 926.9 1145.7 1197.6 1197.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 51.9500 .. 218.7400 cents 166.79000 cents 51.95000 cents 2: 270.6900 .. 437.4800 cents 166.79000 cents 51.95000 cents 3: 489.4300 .. 656.2200 cents 166.79000 cents 51.95000 cents 4: 541.3800 .. 708.1700 cents 166.79000 cents -114.84000 cents 5: 760.1200 .. 926.9100 cents 166.79000 cents 51.95000 cents 6: 978.8600 .. 1145.6500 cents 166.79000 cents 51.95000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 51.95000 cents, class 1 Average step (divided formal octave): 171.0857 cents Largest one step interval : 218.74000 cents Average / Smallest step : 3.293277 Largest / Average step : 1.278540 Largest / Smallest step : 4.210587 Median interval of one step : 218.74000 cents, amount: 5 Most common interval of one step : 218.74000 cents, amount: 5 Least squares average step : 171.08571 cents, oct.: 1197.60000 cents Scale is not proper Scale has Myhill's property chromas: 166.79000 cents and 114.84000 cents, ratio: 1.452369 generators: 3 of 489.43000 cents and 4 of 708.17000 cents ET pair of linear temperament : 22&93 Scale is distributional even Scale is a mode of a 438-tone equal temperament with octave 1197.600 cents degrees: 80 99 179 259 339 358 438 generators: 179 and 259 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABA Step pattern size order : LSLLLSL Scale is a Constant Structure, by a margin of 51.95000 cents Scale diversity : 1.174814 Lumma stability : 0.260271 Lumma impropriety factor : 0.095892 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 51.95000 cents Most common intervals : 489.43000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 489.430 978.860 cents Most common triad is 0.0 489.430 708.170 cents, amount: 5 Number of recognisable fifths : 6, average 708.1700 cents Number of recognisable fourths : 6, average 489.4300 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 47.6543 c. M: 71.4814 c. Lebeng 9: 2 0 2 1 2 0 2 N T3 I SD: 34.2339 c. M:-47.3933 c. 10: 2 0 2 2 2 0 2 N M DE I SD: 20.7800 c. M: 31.1700 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 19.1400 c. M: 28.7100 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 17: 3 1 3 3 3 1 3 N M DE I SD: 7.3988 c. M:-11.0982 c. Supra-7 22: 4 1 4 4 4 1 4 N M DE I SD: 0.9945 c. M: 1.4918 c. Supra-7 71: 13 3 13 13 13 3 13 N M DE I SD: 0.5389 c. M: 0.8083 c. 93: 17 4 17 17 17 4 17 N M DE I SD: 0.1761 c. M: 0.2642 c. 115: 21 5 21 21 21 5 21 N M DE I SD: 0.0478 c. M: 0.0717 c. 323: 59 14 59 59 59 14 59 N M DE I SD: 0.0167 c. M:-0.0250 c. 438: 80 19 80 80 80 19 80 N M DE I SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.4000 cents 2 x x x 3 x x 4 S SD: 3.3311 cents 3 x x 4 x 5 x 6 S SD: 14.4936 cents 4 x x 5:6 x 7:8 S SD: 25.9543 cents 5 x 6:7:8 x 9:10 S SD: 30.5450 cents 6 x 7:8:9:10:11:12 S SD: 13.8589 cents 7:8 x 9:11:12 x 14 SD: 18.6293 cents 8:9 x 11:12 x 14:16 SD: 12.9539 cents 10:11:12:13:15:17:18:20 SD: 12.5857 cents 11:12:13:15:17:19 x 22 SD: 16.4014 cents 12 x 14:16:18 x 21:24 S SD: 3.0586 cents 13 x 15:17:20:22:23:26 SD: 8.9928 cents 14:16 x 19:21:24:25:28 SD: 8.1664 cents 15:17:18:20:23:26 x 30 SD: 10.2210 cents 16:18:19:21:24:27:28:32 SD: 6.1861 cents 19 x 22:25:29:32:33:38 SD: 7.8117 cents 20:23 x 27:30:34:35:40 SD: 6.7904 cents 21:24:25:28:32:36:37:42 SD: 5.8727 cents 22:25:26:29:33:38:39:44 SD: 4.6116 cents 24:27:28:32:36:41:42:48 SD: 3.0434 cents 26 x 30:34:39:44:46:52 SD: 6.5298 cents 27:31:32:36:41:46:48:54 SD: 5.6964 cents 28:32:33:37:42:48:49:56 SD: 3.4267 cents 30:34:35:40:45:51:53:60 SD: 2.2425 cents 46:52:54:61:69:79:81:92 SD: 2.1318 cents 52:59:61:69:78:89:92:104 SD: 1.8484 cents 58:66:68:77:87:99:102:116 SD: 1.4007 cents 59:67:69:78:89:101:104:118 SD: 1.2638 cents 82:93:96:109:123:140:144:164 SD: 1.2598 cents 83:94:97:110:125:142:146:166 SD: 0.7814 cents 89:101:104:118:134:152:157:178 SD: 0.6824 cents 113:128:132:150:170:193:199:226 SD: 0.6401 cents 141:160:165:187:212:241:248:282 SD: 0.5641 cents 171:194:200:227:257:292:301:342 SD: 0.5623 cents 172:195:201:228:259:294:303:344 SD: 0.5468 cents 178:202:208:236:268:304:313:356 SD: 0.4800 cents 208:236:243:276:313:355:366:415 SD: 0.4060 cents 230:261:269:305:346:393:405:459 SD: 0.3205 cents 267:303:312:354:402:456:470:533 SD: 0.2599 cents 312:354:365:414:470:533:549:623 SD: 0.2388 cents 342:388:400:454:515:584:602:683 SD: 0.1987 cents 401:455:469:532:604:685:706:801 SD: 0.1702 cents 520:590:608:690:783:888:915:1039 SD: 0.1637 cents 572:649:669:759:861:977:1007:1142 SD: 0.1329 cents