Scala analysis: xen18-erlich-dicot-07
3L 4s MOS for Dicot, L=205.22, s=148.00
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 148.000 cents 148.000000 2: 353.220 cents 353.220000 3: 501.220 cents 501.220000 4: 706.440 cents 706.440000 5: 854.440 cents 854.440000 6: 1059.660 cents 1059.660000 7: 1207.660 cents 1207.660000
SHOW/INTERVAL
0: 148.0000 cents 148.0000 1: 148.0000 cents 148.0000 2: 205.2200 cents 205.2200 3: 148.0000 cents 148.0000 4: 205.2200 cents 205.2200 5: 148.0000 cents 148.0000 6: 205.2200 cents 205.2200 7: 148.0000 cents 148.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 148.00000 cents 1: 3 205.22000 cents 2: 1 296.00000 cents 2: 6 353.22000 cents 3: 5 501.22000 cents 3: 2 558.44000 cents 4: 2 649.22000 cents 4: 5 706.44000 cents 5: 6 854.44000 cents 5: 1 911.66000 cents 6: 3 1002.44000 cents 6: 4 1059.66000 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 : 148.0 353.2 501.2 706.4 854.4 1059.7 1207.7 148.0 : 205.2 353.2 558.4 706.4 911.7 1059.7 1207.7 353.2 : 148.0 353.2 501.2 706.4 854.4 1002.4 1207.7 501.2 : 205.2 353.2 558.4 706.4 854.4 1059.7 1207.7 706.4 : 148.0 353.2 501.2 649.2 854.4 1002.4 1207.7 854.4 : 205.2 353.2 501.2 706.4 854.4 1059.7 1207.7 1059.7: 148.0 296.0 501.2 649.2 854.4 1002.4 1207.7 1207.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 148.0000 .. 205.2200 cents 57.22000 cents 148.00000 cents 2: 296.0000 .. 353.2200 cents 57.22000 cents 90.78000 cents 3: 501.2200 .. 558.4400 cents 57.22000 cents 148.00000 cents 4: 649.2200 .. 706.4400 cents 57.22000 cents 90.78000 cents 5: 854.4400 .. 911.6600 cents 57.22000 cents 148.00000 cents 6: 1002.4400 .. 1059.6600 cents 57.22000 cents 90.78000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 148.00000 cents, class 1 Average step (divided formal octave): 172.5229 cents Largest one step interval : 205.22000 cents Average / Smallest step : 1.165695 Largest / Average step : 1.189524 Largest / Smallest step : 1.386622 Median interval of one step : 148.00000 cents, amount: 4 Most common interval of one step : 148.00000 cents, amount: 4 Least squares average step : 173.34029 cents, oct.: 1213.38200 cents Scale is strictly proper Scale has Myhill's property chromas: 57.22000 cents and 90.78000 cents, ratio: 1.586508 generators: 2 of 353.22000 cents and 5 of 854.44000 cents ET pair of linear temperament : 17&24 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 612-tone equal temperament with octave 1207.660 cents degrees: 75 179 254 358 433 537 612 generators: 179 and 433 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : SLSLSLS Scale is a Constant Structure, by a margin of 90.78000 cents Scale diversity : 1.225577 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.715715 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 : 57.22000 cents Most common intervals : 353.22000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 353.220 706.440 cents Most common triad is 0.0 353.220 854.440 cents, amount: 5 Number of recognisable fifths : 5, average 706.4400 cents Number of recognisable fourths : 5, average 501.2200 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 : 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: 16.3486 c. M:-24.5229 c. Lebeng 17: 2 3 2 3 2 3 2 SP M ME I SD: 3.9482 c. M:-5.9224 c. Neutral Dorian, Maqamic-7 24: 3 4 3 4 3 4 3 SP M ME I SD: 1.9717 c. M:-2.9575 c. Neutral Dorian, Misaelides 2nd Byzantine mode, Iced Fridgian, Maqam Sikah Baladi, Maqamic-7 41: 5 7 5 7 5 7 5 SP M DE I SD: 0.4829 c. M:-0.7244 c. Maqamic-7 65: 8 11 8 11 8 11 8 SP M DE I SD: 0.4234 c. M:-0.6351 c. Maqamic-7 106: 13 18 13 18 13 18 13 SP M DE I SD: 0.0728 c. M:-0.1092 c. 253: 31 43 31 43 31 43 31 SP M DE I SD: 0.0172 c. M:-0.0258 c. 359: 44 61 44 61 44 61 44 SP M DE I SD: 0.0094 c. M:-0.0140 c. 612: 75 104 75 104 75 104 75 SP M DE I SD: 0.0016 c. M:-0.0025 c. 1583: 194 269 194 269 194 269 194 SP M DE I SD: 0.0009 c. M:-0.0013 c. 2195: 269 373 269 373 269 373 269 SP M DE I SD: 0.0002 c. M:-0.0002 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 7.6600 cents 2 x x x 3 x x 4 S SD: 4.4382 cents 3 x x 4 x 5 x 6 S SD: 10.3488 cents 4 x 5 x 6 x 7:8 S SD: 24.2704 cents 5 x 6:7 x 8:9:10 S SD: 21.4564 cents 6 x 7:8:9:10:11:12 S SD: 15.4076 cents 7:8 x 9 x 11:13:14 SD: 25.8241 cents 8:9:10:11:12:13:15:16 SD: 12.6344 cents 9:10:11:12:14:15:17:18 SD: 12.2170 cents 12:13:15:16:18:20:22:24 SD: 6.8125 cents 14:15:17:19:21:23:26:28 SD: 6.5635 cents 20:22:25:27:30:33:37:40 SD: 6.3643 cents 21:23:26:28:32:34:39:42 SD: 5.5450 cents 22:24:27:29:33:36:41:44 SD: 4.3919 cents 30:33:37:40:45:49:55:60 SD: 3.5189 cents 32:35:39:43:48:52:59:64 SD: 3.3347 cents 36:39:44:48:54:59:66:72 SD: 2.5484 cents 44:48:54:59:66:72:81:88 SD: 1.7196 cents 66:72:81:88:99:108:122:133 SD: 1.3338 cents 80:87:98:107:120:131:148:161 SD: 1.2403 cents 89:97:109:119:134:146:164:179 SD: 0.7205 cents 111:121:136:148:167:182:205:223 SD: 0.6892 cents 133:145:163:178:200:218:245:267 SD: 0.6580 cents 146:159:179:195:220:239:269:293 SD: 0.6265 cents 155:169:190:207:233:254:286:311 SD: 0.4436 cents 199:217:244:266:299:326:367:400 SD: 0.4206 cents 212:231:260:283:319:347:391:426 SD: 0.3111 cents 238:259:292:318:358:390:439:478 SD: 0.2896 cents 301:328:369:402:453:493:555:605 SD: 0.2729 cents 327:356:401:437:492:536:603:657 SD: 0.2626 cents 345:376:423:461:519:565:636:693 SD: 0.2235 cents 381:415:467:509:573:624:703:765 SD: 0.2175 cents 393:428:482:525:591:644:725:789 SD: 0.1955 cents 437:476:536:584:657:716:806:878 SD: 0.1550 cents 539:587:661:720:811:883:994:1083 SD: 0.1418 cents 548:597:672:732:824:898:1011:1101 SD: 0.1363 cents 583:635:715:779:877:955:1075:1171 SD: 0.1189 cents