Scala analysis: xen18-erlich-pajara-06
2L 4s MOS for Pajara, L=385.31, s=106.57
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 106.570 cents 106.570000 2: 491.880 cents 491.880000 3: 598.450 cents 598.450000 4: 705.020 cents 705.020000 5: 1090.330 cents 1090.330000 6: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 106.5700 cents 106.5700 1: 106.5700 cents 106.5700 2: 385.3100 cents 385.3100 3: 106.5700 cents 106.5700 4: 106.5700 cents 106.5700 5: 385.3100 cents 385.3100 6: 106.5700 cents 106.5700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 106.57000 cents 1: 2 385.31000 cents 2: 2 213.14000 cents 2: 4 491.88000 cents 3: 6 598.45000 cents 4: 4 705.02000 cents 4: 2 983.76000 cents 5: 2 811.59000 cents 5: 4 1090.33000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.80000 = 9/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 106.6 491.9 598.4 705.0 1090.3 1196.9 106.6 : 385.3 491.9 598.4 983.8 1090.3 1196.9 491.9 : 106.6 213.1 598.4 705.0 811.6 1196.9 598.4 : 106.6 491.9 598.4 705.0 1090.3 1196.9 705.0 : 385.3 491.9 598.4 983.8 1090.3 1196.9 1090.3: 106.6 213.1 598.5 705.0 811.6 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.5700 .. 385.3100 cents 278.74000 cents 106.57000 cents 2: 213.1400 .. 491.8800 cents 278.74000 cents -172.17000 cents 3: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 106.57000 cents 4: 705.0200 .. 983.7600 cents 278.74000 cents 106.57000 cents 5: 811.5900 .. 1090.3300 cents 278.74000 cents -172.17000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 106.57000 cents, class 1 Average step (divided formal octave): 199.4833 cents Largest one step interval : 385.31000 cents Average / Smallest step : 1.871853 Largest / Average step : 1.931540 Largest / Smallest step : 3.615558 Median interval of one step : 106.57000 cents, amount: 4 Most common interval of one step : 106.57000 cents, amount: 4 Least squares average step : 201.52538 cents, oct.: 1209.15231 cents Scale is not proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 278.74000 cents and 172.17000 cents, ratio: 1.618981 generators: 1 of 106.57000 cents and 2 of 491.88000 cents ET pair of linear temperament : 22&34 Scale is distributional even Scale is a mode of a 146-tone equal temperament with octave 1196.900 cents degrees: 13 60 73 86 133 146 Least number of segments generator : 75 of 614.846 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 133 of 1090.327 cents and inv. generated superset size: 76 = 70 more = 1266.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABA Step pattern size order : SLSSLS Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 3 ] Scale is a Constant Structure, by a margin of 106.57000 cents Scale diversity : 1.261317 Lumma stability : 0.356153 Lumma impropriety factor : 0.287693 Rothenberg efficiency (ambiguous key): 0.544444 redundancy: 0.455556 Efficiency x scale size : 3.266667 Number of different interval sizes : 9 = 1.80000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.80000 = 9/5 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 106.57000 cents Most common intervals : 598.45000 cents & inv., amount: 6 Number of recognisable fifths : 4, average 705.0200 cents Number of recognisable fourths : 4, average 491.8800 cents Formal octave complements present : 6 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 3 Limited inverse transpositions : 3 Inversional symmetry on degrees : 0 3 Inversional symmetry on intervals : 1-2 4-5 -- Rational properties --
FIT/MODE
6: 0 2 1 0 2 1 N B D3 SD: 81.6294 c. M: 106.5700 c. 7: 0 3 0 1 2 1 N SD: 62.8544 c. M: 106.5700 c. 8: 1 2 1 1 2 1 P B ME I SD: 35.1441 c. M: 43.0425 c. 10: 1 3 1 1 3 1 N B DE I SD: 10.7124 c. M: 13.1200 c. 12: 1 4 1 1 4 1 N B DE I SD: 5.5753 c. M:-6.8283 c. 22: 2 7 2 2 7 2 N B DE I SD: 1.8282 c. M: 2.2391 c. 34: 3 11 3 3 11 3 N B DE I SD: 0.7848 c. M:-0.9612 c. 56: 5 18 5 5 18 5 N B DE I SD: 0.2417 c. M: 0.2961 c. 90: 8 29 8 8 29 8 N B DE I SD: 0.1461 c. M:-0.1789 c. 146: 13 47 13 13 47 13 N B DE I SD: 0.0027 c. M: 0.0033 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 3.1000 cents 2 x x x 3 x 4 S SD: 2.1797 cents 3 x 4 x 5 x 6 S SD: 59.8238 cents 4 x 5 x 6 x 8 S SD: 35.2188 cents 5 x x 7:8:9:10 SD: 32.9414 cents 6:7:8 x 9:11:12 SD: 33.1250 cents 7:8:9:10:11:13:14 SD: 26.6004 cents 8:9 x 11:12:15:16 SD: 21.6516 cents 9:10:12:13:14:17:18 SD: 17.4463 cents 10:11:13:14:15:19:20 SD: 12.4073 cents 12:13:16:17:18:23:24 SD: 8.1601 cents 14:15:19:20:21:26:28 SD: 7.9038 cents 15:16:20:21:23:28:30 SD: 6.7655 cents 16:17:21:23:24:30:32 SD: 6.1475 cents 18:19:24:25:27:34:36 SD: 5.8310 cents 24:26:32:34:36:45:48 SD: 5.5431 cents 27:29:36:38:41:51:54 SD: 4.8102 cents 30:32:40:42:45:56:60 SD: 3.4688 cents 31:33:41:44:47:58:62 SD: 3.3651 cents 34:36:45:48:51:64:68 SD: 2.0072 cents 46:49:61:65:69:86:92 SD: 1.5618 cents 48:51:64:68:72:90:96 SD: 1.5327 cents 79:84:105:112:119:148:158 SD: 1.4388 cents 80:85:106:113:120:150:160 SD: 1.1565 cents 82:87:109:116:123:154:164 SD: 1.0726 cents 97:103:129:137:146:182:194 SD: 0.8993 cents 128:136:170:181:192:240:256 SD: 0.8834 cents 140:149:186:198:210:263:279 SD: 0.8307 cents 143:152:190:202:215:268:285 SD: 0.7258 cents 155:165:206:219:233:291:309 SD: 0.5213 cents 189:201:251:267:284:355:377 SD: 0.3248 cents 235:250:312:332:353:441:469 SD: 0.2839 cents 237:252:315:335:356:445:473 SD: 0.2281 cents 332:353:441:469:499:623:663 SD: 0.1882 cents 472:502:627:667:709:886:942 SD: 0.1546 cents 487:518:647:688:732:914:972 SD: 0.1449 cents 521:554:692:736:783:978:1040 SD: 0.1228 cents 569:605:756:804:855:1068:1136 SD: 0.0746 cents