Scala analysis: segah99
segah_rat in 99ef tempering
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 206.061 cents 206.060610 2: 351.515 cents 351.515150 3: 496.970 cents 496.969700 4: 703.030 cents 703.030300 5: 909.091 cents 909.090910 6: 1054.545 cents 1054.545450 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 145.4545 cents 145.4545 1: 206.0606 cents 206.0606 2: 145.4545 cents 145.4545 3: 145.4545 cents 145.4545 4: 206.0606 cents 206.0606 5: 206.0606 cents 206.0606 6: 145.4545 cents 145.4545 7: 145.4545 cents 145.4545
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 145.45454 cents 1: 3 206.06061 cents 2: 2 290.90909 cents 2: 4 351.51515 cents 2: 1 412.12121 cents 3: 5 496.96970 cents 3: 2 557.57576 cents 4: 2 642.42424 cents 4: 5 703.03030 cents 5: 1 787.87879 cents 5: 4 848.48484 cents 5: 2 909.09091 cents 6: 3 993.93939 cents 6: 4 1054.54545 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.33333 = 7/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 206.1 351.5 497.0 703.0 909.1 1054.5 1200.0 206.1 : 145.5 290.9 497.0 703.0 848.5 993.9 1200.0 351.5 : 145.5 351.5 557.6 703.0 848.5 1054.5 1200.0 497.0 : 206.1 412.1 557.6 703.0 909.1 1054.5 1200.0 703.0 : 206.1 351.5 497.0 703.0 848.5 993.9 1200.0 909.1 : 145.5 290.9 497.0 642.4 787.9 993.9 1200.0 1054.5: 145.5 351.5 497.0 642.4 848.5 1054.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 145.4545 .. 206.0606 cents 60.60607 cents 145.45454 cents 2: 290.9091 .. 412.1212 cents 121.21212 cents 84.84848 cents 3: 496.9697 .. 557.5758 cents 60.60606 cents 84.84849 cents 4: 642.4242 .. 703.0303 cents 60.60606 cents 84.84848 cents 5: 787.8788 .. 909.0909 cents 121.21212 cents 84.84849 cents 6: 993.9394 .. 1054.5455 cents 60.60606 cents 84.84848 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 145.45454 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 206.06061 cents Average / Smallest step : 1.178571 Largest / Average step : 1.202020 Largest / Smallest step : 1.416667 Median interval of one step : 145.45454 cents, amount: 4 Most common interval of one step : 145.45454 cents, amount: 4 Least squares average step : 174.89177 cents, oct.: 1224.24242 cents Scale is strictly proper Scale is 3-distributional even Scale is a mode of a 99-tone equal temperament with octave 1200.000 cents degrees: 17 29 41 58 75 87 99 Least number of segments generator : 50 of 606.061 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 70 of 848.485 cents and inv. generated superset size: 9 = 2 more = 128.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBAABB Step pattern size order : LSSLLSS Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 2 0 0 0 0 4 0 0 0 0 1 0 0 0 0 0 0 5 0 0 0 0 2 0 0 0 ] Scale is a Constant Structure, by a margin of 84.84848 cents Scale diversity : 1.332587 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.595960 Rothenberg efficiency : 0.598639 redundancy: 0.401361 Efficiency x scale size : 4.190476 Number of different interval sizes : 14 = 2.33333 / class Number of one step interval sizes : 2 Highest interval variety : 3 Mean interval variety : 2.33333 = 7/3 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 60.60605 cents Most common intervals : 496.96970 cents & inv., amount: 5 Most common triad is 0.0 496.970 703.030 cents, amount: 3 Number of recognisable fifths : 5, average 703.0303 cents Scale contains two identical disjunct tetrachords 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 : 1 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 0-1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 27.3790 c. M: 51.9481 c. Lebeng 10: 2 1 1 2 2 1 1 P D3 S SD: 26.8314 c. M:-50.9091 c. Pseudo Rast 11: 2 1 2 1 2 2 1 P M ME S SD: 33.9765 c. M:-48.4848 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 25.5081 c. M:-48.4848 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 13: 2 2 1 3 2 1 2 P D3 SD: 26.7626 c. M: 39.1608 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 26.0455 c. M: 46.0606 c. Miller's Porcupine-7 16: 3 2 2 2 3 2 2 SP M ME S SD: 19.2166 c. M:-28.0303 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 4.5095 c. M:-8.5561 c. Pseudo Rast 41: 7 5 5 7 7 5 5 SP D3 S SD: 0.9349 c. M: 1.7738 c. 58: 10 7 7 10 10 7 7 SP D3 S SD: 0.6609 c. M:-1.2539 c. 99: 17 12 12 17 17 12 12 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: 0.5376 cents 3 x x 4 x 5 x 6 S SD: 8.2519 cents 4 x 5 x 6:7 x 8 S SD: 17.2850 cents 5 x 6:7 x 8:9:10 S SD: 27.6201 cents 6:7 x 8:9:10:11:12 S SD: 10.9782 cents 7:8 x 9:11:12:13:14 SD: 17.9868 cents 8:9:10:11:12:14:15:16 S SD: 13.4589 cents 9:10:11:12:14:15:17:18 SD: 12.1062 cents 10:11:12:13:15:17:18:20 SD: 11.3013 cents 12:14:15:16:18:20:22:24 S SD: 10.6423 cents 13:15:16:17:20:22:24:26 SD: 9.8332 cents 14:16:17:19:21:24:26:28 SD: 7.4870 cents 16:18:20:21:24:27:29:32 SD: 7.1947 cents 18:20:22:24:27:30:33:36 S SD: 4.9844 cents 22:25:27:29:33:37:40:44 SD: 4.6452 cents 24:27:29:32:36:41:44:48 SD: 4.3548 cents 26:29:32:35:39:44:48:52 SD: 3.8209 cents 30:34:37:40:45:51:55:60 SD: 2.7365 cents 32:36:39:43:48:54:59:64 SD: 2.5984 cents 39:44:48:52:59:66:72:78 SD: 2.5111 cents 40:45:49:53:60:68:74:80 SD: 2.4850 cents 45:51:55:60:68:76:83:90 SD: 2.4701 cents 48:54:59:64:72:81:88:96 SD: 1.2512 cents 72:81:88:96:108:122:132:144 SD: 1.1584 cents 80:90:98:107:120:135:147:160 SD: 1.1042 cents 88:99:108:117:132:149:162:176 SD: 0.9075 cents 94:106:115:125:141:159:173:188 SD: 0.7330 cents 120:135:147:160:180:203:221:240 SD: 0.5566 cents 142:160:174:189:213:240:261:284 SD: 0.3588 cents 174:196:213:232:261:294:320:348 SD: 0.3305 cents 253:285:310:337:380:428:465:506 SD: 0.2779 cents 262:295:321:349:393:443:482:524 SD: 0.2333 cents 316:356:387:421:474:534:581:632 SD: 0.2206 cents 355:400:435:473:533:600:653:710 SD: 0.1648 cents 427:481:523:569:641:722:785:854 SD: 0.0989 cents 595:670:729:793:893:1006:1094:1190 SD: 0.0981 cents