Scala analysis: xen18-erlich-garibaldi-07
5L 2s MOS for Garibaldi, L=204.52, s=89.08
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 204.520 cents 204.520000 2: 293.600 cents 293.600000 3: 498.120 cents 498.120000 4: 702.640 cents 702.640000 5: 907.160 cents 907.160000 6: 996.240 cents 996.240000 7: 1200.760 cents 1200.760000
SHOW/INTERVAL
0: 204.5200 cents 204.5200 1: 204.5200 cents 204.5200 2: 89.0800 cents 89.0800 3: 204.5200 cents 204.5200 4: 204.5200 cents 204.5200 5: 204.5200 cents 204.5200 6: 89.0800 cents 89.0800 7: 204.5200 cents 204.5200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 89.08000 cents 1: 5 204.52000 cents 2: 4 293.60000 cents 2: 3 409.04000 cents 3: 6 498.12000 cents 3: 1 613.56000 cents 4: 1 587.20000 cents 4: 6 702.64000 cents 5: 3 791.72000 cents 5: 4 907.16000 cents 6: 5 996.24000 cents 6: 2 1111.68000 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 : 204.5 293.6 498.1 702.6 907.2 996.2 1200.8 204.5 : 89.1 293.6 498.1 702.6 791.7 996.2 1200.8 293.6 : 204.5 409.0 613.6 702.6 907.2 1111.7 1200.8 498.1 : 204.5 409.0 498.1 702.6 907.2 996.2 1200.8 702.6 : 204.5 293.6 498.1 702.6 791.7 996.2 1200.8 907.2 : 89.1 293.6 498.1 587.2 791.7 996.2 1200.8 996.2 : 204.5 409.0 498.1 702.6 907.2 1111.7 1200.8 1200.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.0800 .. 204.5200 cents 115.44000 cents 89.08000 cents 2: 293.6000 .. 409.0400 cents 115.44000 cents 89.08000 cents 3: 498.1200 .. 613.5600 cents 115.44000 cents 89.08000 cents 4: 587.2000 .. 702.6400 cents 115.44000 cents -26.36000 cents 5: 791.7200 .. 907.1600 cents 115.44000 cents 89.08000 cents 6: 996.2400 .. 1111.6800 cents 115.44000 cents 89.08000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 89.08000 cents, class 1 Average step (divided formal octave): 171.5371 cents Largest one step interval : 204.52000 cents Average / Smallest step : 1.925653 Largest / Average step : 1.192278 Largest / Smallest step : 2.295914 Median interval of one step : 204.52000 cents, amount: 5 Most common interval of one step : 204.52000 cents, amount: 5 Least squares average step : 171.53714 cents, oct.: 1200.76000 cents Scale is not proper Scale has Myhill's property chromas: 115.44000 cents and 26.36000 cents, ratio: 4.379363 generators: 3 of 498.12000 cents and 4 of 702.64000 cents ET pair of linear temperament : 12&41 Scale is distributional even Scale is a mode of a 957-tone equal temperament with octave 1200.760 cents degrees: 163 234 397 560 723 794 957 generators: 397 and 560 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 26.36000 cents Scale diversity : 1.287942 Lumma stability : 0.445118 Lumma impropriety factor : 0.021953 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 : 26.36000 cents Most common intervals : 498.12000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 498.120 996.240 cents Most common triad is 0.0 498.120 702.640 cents, amount: 5 Number of recognisable fifths : 6, average 702.6400 cents Number of recognisable fourths : 6, average 498.1200 cents Scale contains two identical disjunct tetrachords Best major thirds form a closed circle Best minor thirds form a closed circle 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: 32.9829 c. M:-49.4743 c. Lebeng 11: 2 1 2 1 2 1 2 P M ME I SD: 32.1233 c. M: 47.6800 c. Superkleismic-7 12: 2 1 2 2 2 1 2 P M ME I SD: 4.3933 c. M:-6.5900 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 29: 5 2 5 5 5 2 5 N M DE I SD: 2.5076 c. M:-3.7614 c. 41: 7 3 7 7 7 3 7 N M DE I SD: 0.4878 c. M:-0.7317 c. 94: 16 7 16 16 16 7 16 N M DE I SD: 0.1353 c. M:-0.2030 c. 135: 23 10 23 23 23 10 23 N M DE I SD: 0.0539 c. M:-0.0809 c. 229: 39 17 39 39 39 17 39 N M DE I SD: 0.0238 c. M:-0.0356 c. 364: 62 27 62 62 62 27 62 N M DE I SD: 0.0051 c. M:-0.0076 c. 957: 163 71 163 163 163 71 163 N M DE I SD: 0.0018 c. M:-0.0028 c. 1321: 225 98 225 225 225 98 225 N M DE I SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.7600 cents 2 x x x 3 x x 4 S SD: 0.5116 cents 3 x x 4 x 5 x 6 S SD: 7.6047 cents 4 x 5 x 6 x 7:8 S SD: 24.1718 cents 5 x 6:7 x 8:9:10 S SD: 25.9244 cents 6 x 7:8:9:10:11:12 S SD: 10.6163 cents 7:8 x 9:11:12 x 14 SD: 21.6659 cents 8:9 x 11:12 x 14:16 SD: 11.9716 cents 10:11:12:13:15:17:18:20 SD: 9.6511 cents 12 x 14:16:18:20:21:24 S SD: 7.4292 cents 13:15 x 17:20:22:23:26 SD: 11.7269 cents 14:16:17:19:21:24:25:28 SD: 9.2429 cents 15:17:18:20:23:25:27:30 SD: 7.8332 cents 16:18:19:21:24:27:28:32 SD: 5.5648 cents 22:25:26:29:33:37:39:44 SD: 3.9726 cents 26:29:31:35:39:44:46:52 SD: 3.8244 cents 32:36:38:43:48:54:57:64 SD: 2.0619 cents 48:54:57:64:72:81:85:96 SD: 1.1639 cents 54:61:64:72:81:91:96:108 SD: 1.0794 cents 80:90:95:107:120:135:142:160 SD: 1.0589 cents 86:97:102:115:129:145:153:172 SD: 1.0365 cents 96:108:114:128:144:162:171:192 SD: 0.7671 cents 120:135:142:160:180:203:213:240 SD: 0.6874 cents 126:142:149:168:189:213:224:252 SD: 0.6582 cents 135:152:160:180:203:228:240:270 SD: 0.5425 cents 168:189:199:224:252:284:299:336 SD: 0.4006 cents 216:243:256:288:324:365:384:432 SD: 0.2431 cents 270:304:320:360:405:456:480:540 SD: 0.2041 cents 486:547:576:648:729:821:864:972 SD: 0.1861 cents 558:628:661:744:837:942:992:1116 SD: 0.1786 cents 573:645:679:764:860:968:1019:1147 SD: 0.1710 cents 591:665:700:788:887:998:1051:1183 SD: 0.1535 cents