Scala analysis: xen18-erlich-dominant-07
5L 2s MOS for Dominant, L=203.47, s=88.94
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.470 cents 203.470000 2: 292.410 cents 292.410000 3: 495.880 cents 495.880000 4: 699.350 cents 699.350000 5: 902.820 cents 902.820000 6: 991.760 cents 991.760000 7: 1195.230 cents 1195.230000
SHOW/INTERVAL
0: 203.4700 cents 203.4700 1: 203.4700 cents 203.4700 2: 88.9400 cents 88.9400 3: 203.4700 cents 203.4700 4: 203.4700 cents 203.4700 5: 203.4700 cents 203.4700 6: 88.9400 cents 88.9400 7: 203.4700 cents 203.4700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 88.94000 cents 1: 5 203.47000 cents 2: 4 292.41000 cents 2: 3 406.94000 cents 3: 6 495.88000 cents 3: 1 610.41000 cents 4: 1 584.82000 cents 4: 6 699.35000 cents 5: 3 788.29000 cents 5: 4 902.82000 cents 6: 5 991.76000 cents 6: 2 1106.29000 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 : 203.5 292.4 495.9 699.4 902.8 991.8 1195.2 203.5 : 88.9 292.4 495.9 699.3 788.3 991.8 1195.2 292.4 : 203.5 406.9 610.4 699.3 902.8 1106.3 1195.2 495.9 : 203.5 406.9 495.9 699.4 902.8 991.8 1195.2 699.4 : 203.5 292.4 495.9 699.4 788.3 991.8 1195.2 902.8 : 88.9 292.4 495.9 584.8 788.3 991.8 1195.2 991.8 : 203.5 406.9 495.9 699.4 902.8 1106.3 1195.2 1195.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.9400 .. 203.4700 cents 114.53000 cents 88.94000 cents 2: 292.4100 .. 406.9400 cents 114.53000 cents 88.94000 cents 3: 495.8800 .. 610.4100 cents 114.53000 cents 88.94000 cents 4: 584.8200 .. 699.3500 cents 114.53000 cents -25.59000 cents 5: 788.2900 .. 902.8200 cents 114.53000 cents 88.94000 cents 6: 991.7600 .. 1106.2900 cents 114.53000 cents 88.94000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.94000 cents, class 1 Average step (divided formal octave): 170.7471 cents Largest one step interval : 203.47000 cents Average / Smallest step : 1.919801 Largest / Average step : 1.191645 Largest / Smallest step : 2.287722 Median interval of one step : 203.47000 cents, amount: 5 Most common interval of one step : 203.47000 cents, amount: 5 Least squares average step : 170.74714 cents, oct.: 1195.23000 cents Scale is not proper Scale has Myhill's property chromas: 114.53000 cents and 25.59000 cents, ratio: 4.475576 generators: 3 of 495.88000 cents and 4 of 699.35000 cents ET pair of linear temperament : 12&41 Scale is distributional even Scale is a mode of a 887-tone equal temperament with octave 1195.230 cents degrees: 151 217 368 519 670 736 887 generators: 368 and 519 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 25.59000 cents Scale diversity : 1.292167 Lumma stability : 0.446475 Lumma impropriety factor : 0.021410 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 : 25.59000 cents Most common intervals : 495.88000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 495.880 991.760 cents Most common triad is 0.0 495.880 699.350 cents, amount: 5 Number of recognisable fifths : 6, average 699.3500 cents Number of recognisable fourths : 6, average 495.8800 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: 32.7229 c. M:-49.0843 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 4.2650 c. M:-6.3975 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: 2.6041 c. M: 3.9062 c. 41: 7 3 7 7 7 3 7 N M DE I SD: 0.5937 c. M:-0.8905 c. 53: 9 4 9 9 9 4 9 N M DE I SD: 0.5064 c. M:-0.7596 c. 94: 16 7 16 16 16 7 16 N M DE I SD: 0.0266 c. M:-0.0399 c. 511: 87 38 87 87 87 38 87 N M DE I SD: 0.0232 c. M:-0.0348 c. 605: 103 45 103 103 103 45 103 N M DE I SD: 0.0154 c. M:-0.0232 c. 699: 119 52 119 119 119 52 119 N M DE I SD: 0.0098 c. M:-0.0147 c. 793: 135 59 135 135 135 59 135 N M DE I SD: 0.0055 c. M:-0.0082 c. 887: 151 66 151 151 151 66 151 N M DE I SD: 0.0021 c. M:-0.0031 c. 981: 167 73 167 167 167 73 167 N M DE I SD: 0.0007 c. M: 0.0010 c. 1868: 318 139 318 318 318 139 318 N M DE I SD: 0.0006 c. M: 0.0009 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 4.7700 cents 2 x x x 3 x x 4 S SD: 2.7175 cents 3 x x 4 x 5 x 6 S SD: 6.3967 cents 4 x 5 x 6 x 7:8 S SD: 24.2041 cents 5 x 6:7 x 8:9:10 S SD: 25.8301 cents 6 x 7:8:9:10:11:12 S SD: 10.9866 cents 7:8 x 9:10:12 x 14 S SD: 22.0059 cents 8:9 x 11:12:13:14:16 SD: 14.4428 cents 9:10:11:12:13:15:16:18 SD: 12.6095 cents 10:11:12:13:15:17:18:20 SD: 9.7967 cents 12 x 14:16:18:20:21:24 S SD: 6.5686 cents 13:15 x 17:19:22:23:26 SD: 11.6026 cents 14:16:17:19:21:24:25:28 SD: 9.9472 cents 15:17:18:20:22:25:27:30 SD: 7.9127 cents 16:18:19:21:24:27:28:32 SD: 4.9918 cents 22:25:26:29:33:37:39:44 SD: 3.7162 cents 32:36:38:43:48:54:57:64 SD: 2.7442 cents 39:44:46:52:58:66:69:78 SD: 2.5946 cents 48:54:57:64:72:81:85:96 SD: 1.2431 cents 88:99:104:117:132:148:156:176 SD: 1.0667 cents 105:118:124:140:157:177:186:209 SD: 1.0317 cents 114:128:135:152:171:192:202:227 SD: 0.7858 cents 120:135:142:160:180:202:213:239 SD: 0.6827 cents 136:153:161:181:204:229:241:271 SD: 0.5104 cents 168:189:199:224:252:283:298:335 SD: 0.5072 cents 169:190:200:225:253:285:300:337 SD: 0.4261 cents 217:244:257:289:325:366:385:433 SD: 0.3620 cents 289:325:342:385:433:487:512:576 SD: 0.3597 cents 295:332:349:393:442:497:523:588 SD: 0.3356 cents 304:342:360:405:455:512:539:606 SD: 0.2610 cents 305:343:361:406:457:514:541:608 SD: 0.2429 cents 352:396:417:469:527:593:624:702 SD: 0.2406 cents 353:397:418:470:529:595:626:704 SD: 0.2112 cents 392:441:464:522:587:660:695:782 SD: 0.1800 cents 440:495:521:586:659:741:780:878 SD: 0.1750 cents 504:567:597:671:755:849:894:1005 SD: 0.1692 cents 522:587:618:695:782:879:926:1041 SD: 0.1553 cents 555:624:657:739:831:935:984:1107 SD: 0.1370 cents 561:631:664:747:840:945:995:1119 SD: 0.1205 cents