Scala analysis: ra2
random 2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.548 cents 193.548387 2: 387.097 cents 387.096774 3: 503.226 cents 503.225806 4: 696.774 cents 696.774194 5: 890.323 cents 890.322581 6: 1045.161 cents 1045.161290 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.8387 cents 154.8387 1: 193.5484 cents 193.5484 2: 193.5484 cents 193.5484 3: 116.1290 cents 116.1290 4: 193.5484 cents 193.5484 5: 193.5484 cents 193.5484 6: 154.8387 cents 154.8387 7: 154.8387 cents 154.8387
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.12903 cents 1: 2 154.83871 cents 1: 4 193.54839 cents 2: 3 309.67742 cents 2: 2 348.38710 cents 2: 2 387.09677 cents 3: 5 503.22581 cents 3: 2 541.93548 cents 4: 2 658.06452 cents 4: 5 696.77419 cents 5: 2 812.90323 cents 5: 2 851.61290 cents 5: 3 890.32258 cents 6: 4 1006.45161 cents 6: 2 1045.16129 cents 6: 1 1083.87097 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.66667 = 8/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 193.5 387.1 503.2 696.8 890.3 1045.2 1200.0 193.5 : 193.5 309.7 503.2 696.8 851.6 1006.5 1200.0 387.1 : 116.1 309.7 503.2 658.1 812.9 1006.5 1200.0 503.2 : 193.5 387.1 541.9 696.8 890.3 1083.9 1200.0 696.8 : 193.5 348.4 503.2 696.8 890.3 1006.5 1200.0 890.3 : 154.8 309.7 503.2 696.8 812.9 1006.5 1200.0 1045.2: 154.8 348.4 541.9 658.1 851.6 1045.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.1290 .. 193.5484 cents 77.41935 cents 116.12903 cents 2: 309.6774 .. 387.0968 cents 77.41935 cents 116.12903 cents 3: 503.2258 .. 541.9355 cents 38.70968 cents 116.12903 cents 4: 658.0645 .. 696.7742 cents 38.70968 cents 116.12903 cents 5: 812.9032 .. 890.3226 cents 77.41935 cents 116.12903 cents 6: 1006.4516 .. 1083.8710 cents 77.41935 cents 116.12903 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 116.12903 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 193.54839 cents Average / Smallest step : 1.476190 Largest / Average step : 1.129032 Largest / Smallest step : 1.666667 Median interval of one step : 193.54839 cents, amount: 4 Most common interval of one step : 193.54839 cents, amount: 4 Least squares average step : 174.19355 cents, oct.: 1219.35484 cents Scale is strictly proper Scale is 3-distributional even Scale is a mode of a 31-tone equal temperament with octave 1200.000 cents degrees: 5 10 13 18 23 27 31 Least number of segments generator : 18 of 696.774 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 22 of 851.613 cents and inv. generated superset size: 11 = 4 more = 157.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAACC Step pattern size order : LLSLLMM Interval vector is [ 0 0 1 2 4 0 0 3 2 2 0 0 5 2 0 ] Scale is a Constant Structure, by a margin of 116.12903 cents Scale diversity : 1.324581 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.677419 Rothenberg efficiency : 0.537415 redundancy: 0.462585 Efficiency x scale size : 3.761905 Number of different interval sizes : 16 = 2.66667 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 2.66667 = 8/3 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 38.70968 cents Most common intervals : 503.22581 cents & inv., amount: 5 Most common triad is 0.0 503.226 696.774 cents, amount: 4 Number of recognisable fifths : 5, average 696.7742 cents 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 : 5 Inversional symmetry on degrees : 6 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.1045 c. M: 44.2396 c. Lebeng 12: 2 2 1 2 2 1 2 P M ME S SD: 18.3697 c. M: 45.1613 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 15: 2 3 1 3 2 2 2 SP D3 S SD: 18.9136 c. M: 33.5484 c. 16: 3 2 2 2 3 2 2 SP M ME S SD: 17.7315 c. M:-31.4516 c. Antiphrygian 17: 3 3 1 3 3 2 2 SP D3 S SD: 19.8508 c. M:-36.4326 c. Naghmeh Bayat-e Tork, Naghmeh Dashti 19: 3 3 2 3 3 3 2 SP M ME S SD: 11.6019 c. M:-28.5229 c. Nineteen-tone Major, Ionian 21: 3 4 2 3 4 2 3 SP T3 SD: 15.8108 c. M:-23.9631 c. 22: 3 4 2 4 3 3 3 SP D3 S SD: 15.1798 c. M: 29.9120 c. 23: 4 3 3 3 4 3 3 SP M ME S SD: 14.1815 c. M: 21.8794 c. 24: 4 4 2 4 4 3 3 SP D3 S SD: 7.0305 c. M:-12.9032 c. Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti 31: 5 5 3 5 5 4 4 SP D3 S 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: 2.5904 cents 3 x x 4 x 5 x 6 S SD: 2.6333 cents 4 x 5 x 6 x 7:8 S SD: 19.1287 cents 5 x 6:7 x 8:9:10 S SD: 26.8516 cents 6:7 x 8:9:10:11:12 S SD: 12.3413 cents 7:8:9 x 10:12:13:14 S SD: 18.6649 cents 8:9:10:11:12:13:15:16 SD: 11.7677 cents 10:11 x 13:15:17:18:20 SD: 11.5537 cents 12:13:15:16:18:20:22:24 SD: 7.9921 cents 15:17:19:20:22:25:27:30 SD: 7.8057 cents 16:18:20:21:24:27:29:32 SD: 5.8413 cents 18:20:23:24:27:30:33:36 SD: 5.7499 cents 23:26:29:31:34:38:42:46 SD: 5.6968 cents 24:27:30:32:36:40:44:48 S SD: 2.0941 cents 51:57:64:68:76:85:93:102 SD: 1.8251 cents 59:66:74:79:88:99:108:118 SD: 1.3347 cents 68:76:85:91:102:114:124:136 SD: 1.2221 cents 76:85:95:102:114:127:139:152 SD: 1.1745 cents 77:86:96:103:115:129:141:154 SD: 1.0299 cents 83:93:104:111:124:139:152:166 SD: 0.8694 cents 95:106:119:127:142:159:174:190 SD: 0.8151 cents 101:113:126:135:151:169:185:202 SD: 0.7462 cents 119:133:149:159:178:199:218:238 SD: 0.5768 cents 152:170:190:203:227:254:278:304 SD: 0.5348 cents 168:188:210:225:251:281:307:336 SD: 0.5227 cents 187:209:234:250:280:313:342:374 SD: 0.4249 cents 204:228:255:273:305:341:373:408 SD: 0.2916 cents 228:255:285:305:341:381:417:456 SD: 0.2444 cents 287:321:359:384:429:480:525:574 SD: 0.1937 cents 379:424:474:507:567:634:693:758 SD: 0.1719 cents 415:464:519:555:621:694:759:830 SD: 0.1526 cents 474:530:593:634:709:793:867:948 SD: 0.1489 cents 498:557:623:666:745:833:911:996 SD: 0.1420 cents 507:567:634:678:758:848:927:1014 SD: 0.1044 cents