Scala analysis: xen18-erlich-dominant-05
2L 3s MOS for Dominant, L=292.41, s=203.47
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: 495.880 cents 495.880000 3: 699.350 cents 699.350000 4: 991.760 cents 991.760000 5: 1195.230 cents 1195.230000
SHOW/INTERVAL
0: 203.4700 cents 203.4700 1: 203.4700 cents 203.4700 2: 292.4100 cents 292.4100 3: 203.4700 cents 203.4700 4: 292.4100 cents 292.4100 5: 203.4700 cents 203.4700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 203.47000 cents 1: 2 292.41000 cents 2: 1 406.94000 cents 2: 4 495.88000 cents 3: 4 699.35000 cents 3: 1 788.29000 cents 4: 2 902.82000 cents 4: 3 991.76000 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 0.0 : 203.5 495.9 699.4 991.8 1195.2 203.5 : 292.4 495.9 788.3 991.8 1195.2 495.9 : 203.5 495.9 699.4 902.8 1195.2 699.4 : 292.4 495.9 699.4 991.8 1195.2 991.8 : 203.5 406.9 699.4 902.8 1195.2 1195.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 203.4700 .. 292.4100 cents 88.94000 cents 203.47000 cents 2: 406.9400 .. 495.8800 cents 88.94000 cents 114.53000 cents 3: 699.3500 .. 788.2900 cents 88.94000 cents 203.47000 cents 4: 902.8200 .. 991.7600 cents 88.94000 cents 114.53000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 203.47000 cents, class 1 Average step (divided formal octave): 239.0460 cents Largest one step interval : 292.41000 cents Average / Smallest step : 1.174846 Largest / Average step : 1.223237 Largest / Smallest step : 1.437116 Median interval of one step : 203.47000 cents, amount: 3 Most common interval of one step : 203.47000 cents, amount: 3 Least squares average step : 240.66309 cents, oct.: 1203.31545 cents Scale is strictly proper Scale has Myhill's property chromas: 88.94000 cents and 114.53000 cents, ratio: 1.287722 generators: 2 of 495.88000 cents and 3 of 699.35000 cents ET pair of linear temperament : 12&41 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 793-tone equal temperament with octave 1195.230 cents degrees: 135 329 464 658 793 generators: 329 and 464 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABA Step pattern size order : SLSLS Scale is a Constant Structure, by a margin of 114.53000 cents Scale diversity : 1.286511 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.702350 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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 : 88.94000 cents Most common intervals : 495.88000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 495.880 991.760 cents Most common triad is 0.0 495.880 699.350 cents, amount: 3 Number of recognisable fifths : 4, average 699.3500 cents Number of recognisable fourths : 4, average 495.8800 cents Best fifths form a closed circle Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 25.1560 c. M:-35.5760 c. 7: 1 2 1 2 1 P M ME I SD: 23.1386 c. M:-32.7229 c. Thai mode 2 12: 2 3 2 3 2 SP M ME I SD: 3.0158 c. M:-4.2650 c. Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia 29: 5 7 5 7 5 SP M DE I SD: 1.8414 c. M:-2.6041 c. 41: 7 10 7 10 7 SP M DE I SD: 0.4198 c. M:-0.5937 c. 53: 9 13 9 13 9 SP M DE I SD: 0.3581 c. M:-0.5064 c. 94: 16 23 16 23 16 SP M DE I SD: 0.0188 c. M: 0.0266 c. 511: 87 125 87 125 87 SP M DE I SD: 0.0164 c. M:-0.0232 c. 605: 103 148 103 148 103 SP M DE I SD: 0.0109 c. M:-0.0154 c. 699: 119 171 119 171 119 SP M DE I SD: 0.0069 c. M:-0.0098 c. 793: 135 194 135 194 135 SP M DE I SD: 0.0039 c. M:-0.0055 c. 887: 151 217 151 217 151 SP M DE I SD: 0.0015 c. M: 0.0021 c. 981: 167 240 167 240 167 SP M DE I SD: 0.0005 c. M: 0.0007 c. 1868: 318 457 318 457 318 SP M DE I SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x 2 S SD: 4.7700 cents 2 x x 3 x 4 S SD: 2.7175 cents 3 x 4 x 5:6 S SD: 35.8430 cents 4 x 5:6:7:8 S SD: 28.0182 cents 6:7:8:9:11:12 SD: 17.1721 cents 8:9:11:12:14:16 SD: 12.0484 cents 14:16:19:21:25:28 SD: 8.9852 cents 16:18:21:24:28:32 S SD: 6.8867 cents 18:20:24:27:32:36 SD: 4.4576 cents 24:27:32:36:43:48 SD: 3.7489 cents 30:34:40:45:53:60 SD: 3.1716 cents 39:44:52:58:69:78 SD: 2.9835 cents 40:45:53:60:71:80 SD: 2.0772 cents 48:54:64:72:85:96 SD: 1.2713 cents 88:99:117:132:156:176 SD: 1.2281 cents 96:108:128:144:170:191 SD: 1.1981 cents 105:118:140:157:186:209 SD: 1.1084 cents 111:125:148:166:197:221 SD: 1.0473 cents 120:135:160:180:213:239 SD: 0.9021 cents 127:143:169:190:225:253 SD: 0.8025 cents 136:153:181:204:241:271 SD: 0.6974 cents 145:163:193:217:257:289 SD: 0.4751 cents 169:190:225:253:300:337 SD: 0.4271 cents 193:217:257:289:342:385 SD: 0.2964 cents 217:244:289:325:385:433 SD: 0.2476 cents 344:387:458:515:610:686 SD: 0.1965 cents 362:407:482:542:642:722 SD: 0.1793 cents 392:441:522:587:695:782 SD: 0.1509 cents 546:614:727:818:968:1089 SD: 0.1474 cents 552:621:735:827:979:1101 SD: 0.1469 cents 561:631:747:840:995:1119 SD: 0.1200 cents