Scala analysis: xen18-erlich-doublewide-06
4L 2s MOS for Doublewide, L=272.32, s=54.64
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 272.320 cents 272.320000 2: 326.960 cents 326.960000 3: 599.280 cents 599.280000 4: 871.600 cents 871.600000 5: 926.240 cents 926.240000 6: 1198.560 cents 1198.560000
SHOW/INTERVAL
0: 272.3200 cents 272.3200 1: 272.3200 cents 272.3200 2: 54.6400 cents 54.6400 3: 272.3200 cents 272.3200 4: 272.3200 cents 272.3200 5: 54.6400 cents 54.6400 6: 272.3200 cents 272.3200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 54.64000 cents 1: 4 272.32000 cents 2: 4 326.96000 cents 2: 2 544.64000 cents 3: 6 599.28000 cents 4: 2 653.92000 cents 4: 4 871.60000 cents 5: 4 926.24000 cents 5: 2 1143.92000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.80000 = 9/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 272.3 327.0 599.3 871.6 926.2 1198.6 272.3 : 54.6 327.0 599.3 653.9 926.2 1198.6 327.0 : 272.3 544.6 599.3 871.6 1143.9 1198.6 599.3 : 272.3 327.0 599.3 871.6 926.2 1198.6 871.6 : 54.6 327.0 599.3 653.9 926.2 1198.6 926.2 : 272.3 544.6 599.3 871.6 1143.9 1198.6 1198.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.6400 .. 272.3200 cents 217.68000 cents 54.64000 cents 2: 326.9600 .. 544.6400 cents 217.68000 cents 54.64000 cents 3: 599.2800 .. 599.2800 cents 1/1, 0.0000 cents 54.64000 cents 4: 653.9200 .. 871.6000 cents 217.68000 cents 54.64000 cents 5: 926.2400 .. 1143.9200 cents 217.68000 cents 54.64000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 54.64000 cents, class 1 Average step (divided formal octave): 199.7600 cents Largest one step interval : 272.32000 cents Average / Smallest step : 3.655930 Largest / Average step : 1.363236 Largest / Smallest step : 4.983895 Median interval of one step : 272.32000 cents, amount: 4 Most common interval of one step : 272.32000 cents, amount: 4 Least squares average step : 198.16527 cents, oct.: 1188.99165 cents Scale is strictly proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 217.68000 cents and 163.04000 cents, ratio: 1.335132 generators: 1 of 272.32000 cents and 2 of 326.96000 cents ET pair of linear temperament : 22&1360 Scale is distributional even Scale is a mode of a 1272-tone equal temperament with octave 1198.560 cents degrees: 289 347 636 925 983 1272 Least number of segments generator : 637 of 600.222 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 925 of 871.594 cents and inv. generated superset size: 639 = 633 more = 10650.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABA Step pattern size order : LSLLSL Scale is a Constant Structure, by a margin of 54.64000 cents Scale diversity : 1.080417 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.273528 Rothenberg efficiency (ambiguous key): 0.544444 redundancy: 0.455556 Efficiency x scale size : 3.266667 Number of different interval sizes : 9 = 1.80000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.80000 = 9/5 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 54.64000 cents Most common intervals : 599.28000 cents & inv., amount: 6 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 6 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 3 Limited inverse transpositions : 3 Inversional symmetry on degrees : 0 3 Inversional symmetry on intervals : 1-2 4-5 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 59.2450 c. M: 72.5600 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 0 2 P D3 SD: 61.8428 c. M: 101.0971 c. 8: 2 0 2 2 0 2 P B DE I SD: 22.3067 c. M: 27.3200 c. 14: 3 1 3 3 1 3 SP B DE I SD: 12.6440 c. M: 15.4857 c. 18: 4 1 4 4 1 4 SP B DE I SD: 4.8772 c. M: 5.9733 c. 22: 5 1 5 5 1 5 SP B DE I SD: 0.0653 c. M: 0.0800 c. 700: 159 32 159 159 32 159 SP B DE I SD: 0.0618 c. M: 0.0757 c. 722: 164 33 164 164 33 164 SP B DE I SD: 0.0579 c. M: 0.0709 c. 744: 169 34 169 169 34 169 SP B DE I SD: 0.0543 c. M: 0.0665 c. 766: 174 35 174 174 35 174 SP B DE I SD: 0.0508 c. M: 0.0622 c. 788: 179 36 179 179 36 179 SP B DE I SD: 0.0476 c. M: 0.0583 c. 810: 184 37 184 184 37 184 SP B DE I SD: 0.0445 c. M: 0.0545 c. 832: 189 38 189 189 38 189 SP B DE I SD: 0.0416 c. M: 0.0510 c. 854: 194 39 194 194 39 194 SP B DE I SD: 0.0389 c. M: 0.0476 c. 876: 199 40 199 199 40 199 SP B DE I SD: 0.0362 c. M: 0.0444 c. 898: 204 41 204 204 41 204 SP B DE I SD: 0.0338 c. M: 0.0413 c. 920: 209 42 209 209 42 209 SP B DE I SD: 0.0314 c. M: 0.0384 c. 942: 214 43 214 214 43 214 SP B DE I SD: 0.0291 c. M: 0.0357 c. 964: 219 44 219 219 44 219 SP B DE I SD: 0.0270 c. M: 0.0330 c. 986: 224 45 224 224 45 224 SP B DE I SD: 0.0249 c. M: 0.0305 c. 1008: 229 46 229 229 46 229 SP B DE I SD: 0.0229 c. M: 0.0281 c. 1030: 234 47 234 234 47 234 SP B DE I SD: 0.0211 c. M: 0.0258 c. 1052: 239 48 239 239 48 239 SP B DE I SD: 0.0192 c. M: 0.0236 c. 1074: 244 49 244 244 49 244 SP B DE I SD: 0.0175 c. M: 0.0215 c. 1096: 249 50 249 249 50 249 SP B DE I SD: 0.0159 c. M: 0.0194 c. 1118: 254 51 254 254 51 254 SP B DE I SD: 0.0143 c. M: 0.0175 c. 1140: 259 52 259 259 52 259 SP B DE I SD: 0.0127 c. M: 0.0156 c. 1162: 264 53 264 264 53 264 SP B DE I SD: 0.0112 c. M: 0.0138 c. 1184: 269 54 269 269 54 269 SP B DE I SD: 0.0098 c. M: 0.0120 c. 1206: 274 55 274 274 55 274 SP B DE I SD: 0.0084 c. M: 0.0103 c. 1228: 279 56 279 279 56 279 SP B DE I SD: 0.0071 c. M: 0.0087 c. 1250: 284 57 284 284 57 284 SP B DE I SD: 0.0059 c. M: 0.0072 c. 1272: 289 58 289 289 58 289 SP B DE I SD: 0.0046 c. M: 0.0057 c. 1294: 294 59 294 294 59 294 SP B DE I SD: 0.0034 c. M: 0.0042 c. 1316: 299 60 299 299 60 299 SP B DE I SD: 0.0023 c. M: 0.0028 c. 1338: 304 61 304 304 61 304 SP B DE I SD: 0.0012 c. M: 0.0014 c. 1360: 309 62 309 309 62 309 SP B DE I SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 1.4400 cents 2 x x 3 x x 4 S SD: 51.3425 cents 3 x x 4:5 x 6 S SD: 34.0153 cents 4 x 5:6 x 7:8 S SD: 31.5046 cents 5 x 6:7:8:9:10 S SD: 22.0103 cents 6:7 x 8:10 x 12 S SD: 25.5478 cents 7:8 x 10 x 12:14 S SD: 11.3854 cents 9 x 11:13:15 x 18 SD: 11.1161 cents 10 x 12:14 x 17:20 SD: 5.4146 cents 11:13 x 16:18:19:22 SD: 11.8109 cents 12:14:15:17:20 x 24 SD: 12.2168 cents 13:15:16:18 x 22:26 SD: 11.2971 cents 14:16:17:20:23:24:28 SD: 8.0031 cents 15 x 18:21:25:26:30 SD: 7.0742 cents 16:19 x 23:26:27:32 SD: 10.6922 cents 17:20:21:24:28:29:34 SD: 6.7943 cents 19:22:23:27:31:32:38 SD: 6.6365 cents 20:23:24:28:33:34:40 SD: 6.2634 cents 21 x 25:30:35:36:42 SD: 6.8543 cents 23:27:28:33:38:39:46 SD: 5.3395 cents 24:28:29:34:40:41:48 SD: 2.4128 cents 34:40:41:48:56:58:68 SD: 2.1047 cents 48:56:58:68:79:82:96 SD: 1.8865 cents 58:68:70:82:96:99:116 SD: 0.6319 cents 130:152:157:184:215:222:260 SD: 0.5247 cents 164:192:198:232:271:280:328 SD: 0.4979 cents 188:220:227:266:311:321:376 SD: 0.3699 cents 246:288:297:348:407:420:492 SD: 0.3569 cents 312:365:377:441:516:533:623 SD: 0.3283 cents 322:377:389:455:533:550:643 SD: 0.3242 cents 336:393:406:475:556:574:671 SD: 0.3202 cents 341:399:412:482:564:582:681 SD: 0.2589 cents 365:427:441:516:604:623:729 SD: 0.2465 cents 370:433:447:523:612:632:739 SD: 0.2055 cents 394:461:476:557:652:673:787 SD: 0.2040 cents 399:467:482:564:660:681:797 SD: 0.1841 cents 423:495:511:598:700:722:845 SD: 0.1719 cents 428:501:517:605:708:731:855 SD: 0.1434 cents 452:529:546:639:748:772:903 SD: 0.1406 cents 486:569:587:687:804:830:971 SD: 0.1371 cents 510:597:616:721:844:871:1019 SD: 0.1286 cents 558:653:674:789:923:953:1115 SD: 0.1170 cents