Scala analysis: met24-quasi_6-EDO
Emulation of 6-EDO
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 232.031 cents 232.031250 2: 439.453 cents 439.453120 3: 622.266 cents 622.265620 4: 829.687 cents 829.687500 5: 992.578 cents 992.578120 6: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 207.4219 cents 207.4219 1: 232.0312 cents 232.0312 2: 207.4219 cents 207.4219 3: 182.8125 cents 182.8125 4: 207.4219 cents 207.4219 5: 162.8906 cents 162.8906 6: 207.4219 cents 207.4219
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 162.89062 cents 1: 1 182.81250 cents 1: 3 207.42187 cents 1: 1 232.03125 cents 2: 2 370.31250 cents 2: 2 390.23437 cents 2: 2 439.45312 cents 3: 1 553.12500 cents 3: 1 577.73438 cents 3: 1 597.65625 cents 3: 1 602.34375 cents 3: 1 622.26562 cents 3: 1 646.87500 cents 4: 2 760.54687 cents 4: 2 809.76563 cents 4: 2 829.68750 cents 5: 1 967.96875 cents 5: 3 992.57812 cents 5: 1 1017.18750 cents 5: 1 1037.10938 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 232.0 439.5 622.3 829.7 992.6 1200.0 232.0 : 207.4 390.2 597.7 760.5 968.0 1200.0 439.5 : 182.8 390.2 553.1 760.5 992.6 1200.0 622.3 : 207.4 370.3 577.7 809.8 1017.2 1200.0 829.7 : 162.9 370.3 602.3 809.8 992.6 1200.0 992.6 : 207.4 439.5 646.9 829.7 1037.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.8906 .. 232.0312 cents 69.14063 cents 162.89062 cents 2: 370.3125 .. 439.4531 cents 69.14062 cents 138.28125 cents 3: 553.1250 .. 646.8750 cents 93.75000 cents 113.67188 cents 4: 760.5469 .. 829.6875 cents 69.14063 cents 113.67187 cents 5: 967.9688 .. 1037.1094 cents 69.14063 cents 138.28125 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 162.89062 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 232.03125 cents Average / Smallest step : 1.227818 Largest / Average step : 1.160156 Largest / Smallest step : 1.424460 Median interval of one step : 207.42187 cents, amount: 3 Most common interval of one step : 207.42187 cents, amount: 3 Least squares average step : 202.85027 cents, oct.: 1217.10165 cents Scale is strictly proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 198 375 531 708 847 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 965 of 1130.859 cents and inv. generated superset size: 27 = 21 more = 450.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBDB Step pattern size order : DCBCAC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 113.67187 cents Scale diversity : 1.350682 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.691406 Rothenberg efficiency : 0.450000 redundancy: 0.550000 Efficiency x scale size : 2.700000 Number of different interval sizes : 20 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.00000 = 4 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 4.68750 cents Most common intervals : 207.42187 cents & inv., amount: 3 Most common triad is 0.0 207.422 1037.109 cents, amount: 1 Number of recognisable fifths : 0 Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 69.1406 cents: 1 2 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 25.8674 c. M: 39.4531 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 10: 2 2 1 2 1 2 P D3 SD: 23.7030 c. M:-40.5469 c. 11: 2 2 2 2 1 2 SP M ME SD: 23.1356 c. M:-43.0398 c. Schulter Hexatonic 13: 3 2 2 2 2 2 SP M ME SD: 24.4779 c. M:-44.8918 c. 14: 3 2 2 3 2 2 SP B ME S SD: 23.4310 c. M:-35.9933 c. Urchin-6 16: 3 3 2 3 2 3 SP D3 SD: 12.8283 c. M: 22.2656 c. 17: 3 3 3 3 2 3 SP M ME SD: 13.8724 c. M: 20.2665 c. 19: 4 3 3 3 3 3 SP M ME SD: 12.3480 c. M:-20.6003 c. 22: 4 4 3 4 3 4 SP D3 SD: 12.5517 c. M: 22.2656 c. 25: 5 4 4 4 4 4 SP M ME SD: 9.5502 c. M:-15.4219 c. 27: 5 5 4 5 3 5 SP SD: 9.6432 c. M: 14.8003 c. 29: 6 5 4 5 4 5 SP SD: 9.2930 c. M:-16.2446 c. 30: 6 5 5 5 4 5 SP T3 SD: 9.4846 c. M:-17.7344 c. 33: 6 6 5 6 4 6 SP SD: 7.9412 c. M: 13.8494 c. 35: 7 6 5 6 5 6 SP SD: 5.4546 c. M:-7.9688 c. 41: 8 7 6 7 6 7 SP SD: 5.3682 c. M: 10.1753 c. 46: 9 8 7 8 6 8 SP SD: 3.3155 c. M:-5.0951 c. 52: 10 9 8 9 7 9 SP SD: 0.8638 c. M: 1.2620 c. 139: 27 24 21 24 19 24 SP SD: 0.7271 c. M:-1.0623 c. 191: 37 33 29 33 26 33 SP SD: 0.2940 c. M:-0.4295 c. 243: 47 42 37 42 33 42 SP SD: 0.0462 c. M:-0.0675 c. 538: 104 93 82 93 73 93 SP SD: 0.0417 c. M: 0.0610 c. 781: 151 135 119 135 106 135 SP SD: 0.0144 c. M: 0.0210 c. 1024: 198 177 156 177 139 177 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 39.8447 cents 3 x 4 x 5 x 6 S SD: 26.7124 cents 4 x 5:6 x 7:8 S SD: 24.6708 cents 5:6 x 7:8:9:10 S SD: 19.4452 cents 7:8:9:10:11:12:14 S SD: 12.6976 cents 13:15:17:19:21:23:26 SD: 7.6370 cents 14:16:18:20:23:25:28 SD: 5.4117 cents 21:24:27:30:34:37:42 SD: 2.3987 cents 41:47:53:59:66:73:82 SD: 2.1965 cents 49:56:63:70:79:87:98 SD: 1.2042 cents 62:71:80:89:100:110:124 SD: 0.8732 cents 83:95:107:119:134:147:166 SD: 0.6363 cents 111:127:143:159:179:197:222 SD: 0.4762 cents 125:143:161:179:202:222:250 SD: 0.4564 cents 132:151:170:189:213:234:264 SD: 0.4461 cents 187:214:241:268:302:332:374 SD: 0.3425 cents 208:238:268:298:336:369:416 SD: 0.2544 cents 252:288:325:361:407:447:504 SD: 0.2269 cents 301:344:388:431:486:534:602 SD: 0.1965 cents 363:415:468:520:586:644:726 SD: 0.1240 cents 439:502:566:629:709:779:878 SD: 0.1130 cents 460:526:593:659:743:816:920 SD: 0.0888 cents 488:558:629:699:788:866:976 SD: 0.0760 cents 509:582:656:729:822:903:1018 SD: 0.0737 cents 571:653:736:818:922:1013:1142 SD: 0.0566 cents