Scala analysis: xen18-erlich-flattone-07
5L 2s MOS for Flattone, L=188.26, s=130.62
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 188.260 cents 188.260000 2: 318.880 cents 318.880000 3: 507.140 cents 507.140000 4: 695.400 cents 695.400000 5: 883.660 cents 883.660000 6: 1014.280 cents 1014.280000 7: 1202.540 cents 1202.540000
SHOW/INTERVAL
0: 188.2600 cents 188.2600 1: 188.2600 cents 188.2600 2: 130.6200 cents 130.6200 3: 188.2600 cents 188.2600 4: 188.2600 cents 188.2600 5: 188.2600 cents 188.2600 6: 130.6200 cents 130.6200 7: 188.2600 cents 188.2600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 130.62000 cents 1: 5 188.26000 cents 2: 4 318.88000 cents 2: 3 376.52000 cents 3: 6 507.14000 cents 3: 1 564.78000 cents 4: 1 637.76000 cents 4: 6 695.40000 cents 5: 3 826.02000 cents 5: 4 883.66000 cents 6: 5 1014.28000 cents 6: 2 1071.92000 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 : 188.3 318.9 507.1 695.4 883.7 1014.3 1202.5 188.3 : 130.6 318.9 507.1 695.4 826.0 1014.3 1202.5 318.9 : 188.3 376.5 564.8 695.4 883.7 1071.9 1202.5 507.1 : 188.3 376.5 507.1 695.4 883.7 1014.3 1202.5 695.4 : 188.3 318.9 507.1 695.4 826.0 1014.3 1202.5 883.7 : 130.6 318.9 507.1 637.8 826.0 1014.3 1202.5 1014.3: 188.3 376.5 507.1 695.4 883.7 1071.9 1202.5 1202.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 130.6200 .. 188.2600 cents 57.64000 cents 130.62000 cents 2: 318.8800 .. 376.5200 cents 57.64000 cents 130.62000 cents 3: 507.1400 .. 564.7800 cents 57.64000 cents 130.62000 cents 4: 637.7600 .. 695.4000 cents 57.64000 cents 72.98000 cents 5: 826.0200 .. 883.6600 cents 57.64000 cents 130.62000 cents 6: 1014.2800 .. 1071.9200 cents 57.64000 cents 130.62000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 130.62000 cents, class 1 Average step (divided formal octave): 171.7914 cents Largest one step interval : 188.26000 cents Average / Smallest step : 1.315200 Largest / Average step : 1.095864 Largest / Smallest step : 1.441280 Median interval of one step : 188.26000 cents, amount: 5 Most common interval of one step : 188.26000 cents, amount: 5 Least squares average step : 171.79143 cents, oct.: 1202.54000 cents Scale is strictly proper Scale has Myhill's property chromas: 57.64000 cents and 72.98000 cents, ratio: 1.266135 generators: 3 of 507.14000 cents and 4 of 695.40000 cents ET pair of linear temperament : 19&64 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 313-tone equal temperament with octave 1202.540 cents degrees: 49 83 132 181 230 264 313 generators: 132 and 181 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 72.98000 cents Scale diversity : 1.244788 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.712409 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 : 57.64000 cents Most common intervals : 507.14000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 507.140 1014.280 cents Most common triad is 0.0 507.140 695.400 cents, amount: 5 Number of recognisable fifths : 6, average 695.4000 cents Number of recognisable fourths : 6, average 507.1400 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: 16.4686 c. M:-24.7029 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 12.1633 c. M:-18.2450 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 19: 3 2 3 3 3 2 3 SP M ME I SD: 1.6147 c. M:-2.4221 c. Nineteen-tone Dorian 45: 7 5 7 7 7 5 7 SP M DE I SD: 1.1982 c. M:-1.7973 c. 64: 10 7 10 10 10 7 10 SP M DE I SD: 0.3631 c. M:-0.5447 c. 83: 13 9 13 13 13 9 13 SP M DE I SD: 0.0896 c. M:-0.1345 c. 230: 36 25 36 36 36 25 36 SP M DE I SD: 0.0363 c. M:-0.0545 c. 313: 49 34 49 49 49 34 49 SP M DE I SD: 0.0029 c. M:-0.0044 c. 1335: 209 145 209 209 209 145 209 SP M DE I SD: 0.0028 c. M:-0.0042 c. 1648: 258 179 258 258 258 179 258 SP M DE I SD: 0.0017 c. M:-0.0026 c. 1961: 307 213 307 307 307 213 307 SP M DE I SD: 0.0010 c. M:-0.0015 c. 2274: 356 247 356 356 356 247 356 SP M DE I SD: 0.0004 c. M:-0.0007 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.5400 cents 2 x x x 3 x x 4 S SD: 3.5150 cents 3 x x 4 x 5 x 6 S SD: 3.1563 cents 4 x 5 x 6 x 7:8 S SD: 20.4065 cents 5 x 6:7 x 8:9:10 S SD: 20.5963 cents 6 x 7:8:9:10:11:12 S SD: 10.6306 cents 7:8 x 9:10:12:13:14 S SD: 22.8855 cents 8:9:10:11:12:13:14:16 S SD: 14.7909 cents 9:10:11:12:13:15:16:18 SD: 9.8188 cents 10:11:12:13:15:17:18:20 SD: 9.7275 cents 14:16:17:19:21:23:25:28 SD: 8.2670 cents 15:17:18:20:22:25:27:30 SD: 6.3339 cents 18:20:22:24:27:30:32:36 S SD: 5.1738 cents 20:22:24:27:30:33:36:40 S SD: 4.6174 cents 24:27:29:32:36:40:43:48 SD: 3.1175 cents 35:39:42:47:52:58:63:70 SD: 2.1404 cents 44:49:53:59:66:73:79:88 SD: 1.5477 cents 59:66:71:79:88:98:106:118 SD: 1.3081 cents 79:88:95:106:118:132:142:158 SD: 0.8953 cents 103:115:124:138:154:172:185:206 SD: 0.8621 cents 114:127:137:153:170:190:205:228 SD: 0.7805 cents 123:137:148:165:184:205:221:246 SD: 0.5932 cents 138:154:166:185:206:230:248:276 SD: 0.5395 cents 182:203:219:244:272:303:327:365 SD: 0.4393 cents 218:243:262:292:326:363:392:437 SD: 0.4194 cents 227:253:273:304:339:378:408:455 SD: 0.3748 cents 261:291:314:350:390:435:469:523 SD: 0.2598 cents 332:370:399:445:496:553:596:665 SD: 0.2421 cents 350:390:421:469:523:583:629:701 SD: 0.2137 cents 356:397:428:477:532:593:640:713 SD: 0.2018 cents 461:514:554:618:689:768:828:923 SD: 0.1663 cents 584:651:702:783:873:973:1049:1170 SD: 0.1470 cents 593:661:713:795:886:988:1065:1188 SD: 0.1300 cents 599:668:720:803:895:998:1076:1200 SD: 0.1163 cents