Scala analysis: xen18-erlich-beatles-03
1L 2s MOS for Beatles, L=487.66, s=354.72
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 354.720 cents 354.720000 2: 842.380 cents 842.380000 3: 1197.100 cents 1197.100000
SHOW/INTERVAL
0: 354.7200 cents 354.7200 1: 354.7200 cents 354.7200 2: 487.6600 cents 487.6600 3: 354.7200 cents 354.7200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 354.72000 cents 1: 1 487.66000 cents 2: 1 709.44000 cents 2: 2 842.38000 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 0.0 : 354.7 842.4 1197.1 354.7 : 487.7 842.4 1197.1 842.4 : 354.7 709.4 1197.1 1197.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 354.7200 .. 487.6600 cents 132.94000 cents 354.72000 cents 2: 709.4400 .. 842.3800 cents 132.94000 cents 221.78000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 354.72000 cents, class 1 Average step (divided formal octave): 399.0333 cents Largest one step interval : 487.66000 cents Average / Smallest step : 1.124925 Largest / Average step : 1.222103 Largest / Smallest step : 1.374774 Median interval of one step : 354.72000 cents, amount: 2 Most common interval of one step : 354.72000 cents, amount: 2 Least squares average step : 402.19857 cents, oct.: 1206.59571 cents Scale is strictly proper Scale has Myhill's property chromas: 132.94000 cents and 221.78000 cents, ratio: 1.668271 generators: 1 of 354.72000 cents and 2 of 842.38000 cents ET pair of linear temperament : 10&27 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1495-tone equal temperament with octave 1197.100 cents degrees: 443 1052 1495 generators: 443 and 1052 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : SLS Scale is a Constant Structure, by a margin of 221.78000 cents Scale diversity : 1.325305 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.777897 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 132.94000 cents Most common intervals : 354.72000 cents & inv., amount: 2 Number of recognisable fifths : 1, average 709.4400 cents Number of recognisable fourths : 1, average 487.6600 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 36.1817 c. M:-44.3133 c. 7: 2 3 2 SP M ME I SD: 10.3625 c. M:-12.6914 c. 10: 3 4 3 SP M ME I SD: 3.6007 c. M:-4.4100 c. 17: 5 7 5 SP M DE I SD: 2.1488 c. M:-2.6318 c. 27: 8 11 8 SP M DE I SD: 0.0194 c. M:-0.0237 c. 955: 283 389 283 SP M DE I SD: 0.0186 c. M:-0.0227 c. 982: 291 400 291 SP M DE I SD: 0.0175 c. M:-0.0214 c. 1009: 299 411 299 SP M DE I SD: 0.0165 c. M:-0.0202 c. 1036: 307 422 307 SP M DE I SD: 0.0156 c. M:-0.0191 c. 1063: 315 433 315 SP M DE I SD: 0.0147 c. M:-0.0180 c. 1090: 323 444 323 SP M DE I SD: 0.0139 c. M:-0.0170 c. 1117: 331 455 331 SP M DE I SD: 0.0131 c. M:-0.0160 c. 1144: 339 466 339 SP M DE I SD: 0.0123 c. M:-0.0151 c. 1171: 347 477 347 SP M DE I SD: 0.0116 c. M:-0.0142 c. 1198: 355 488 355 SP M DE I SD: 0.0109 c. M:-0.0133 c. 1225: 363 499 363 SP M DE I SD: 0.0102 c. M:-0.0125 c. 1252: 371 510 371 SP M DE I SD: 0.0096 c. M:-0.0117 c. 1279: 379 521 379 SP M DE I SD: 0.0090 c. M:-0.0110 c. 1306: 387 532 387 SP M DE I SD: 0.0084 c. M:-0.0102 c. 1333: 395 543 395 SP M DE I SD: 0.0078 c. M:-0.0096 c. 1360: 403 554 403 SP M DE I SD: 0.0073 c. M:-0.0089 c. 1387: 411 565 411 SP M DE I SD: 0.0067 c. M:-0.0083 c. 1414: 419 576 419 SP M DE I SD: 0.0062 c. M:-0.0077 c. 1441: 427 587 427 SP M DE I SD: 0.0058 c. M:-0.0071 c. 1468: 435 598 435 SP M DE I SD: 0.0053 c. M:-0.0065 c. 1495: 443 609 443 SP M DE I SD: 0.0049 c. M:-0.0060 c. 1522: 451 620 451 SP M DE I SD: 0.0044 c. M:-0.0054 c. 1549: 459 631 459 SP M DE I SD: 0.0040 c. M:-0.0049 c. 1576: 467 642 467 SP M DE I SD: 0.0036 c. M:-0.0044 c. 1603: 475 653 475 SP M DE I SD: 0.0032 c. M:-0.0040 c. 1630: 483 664 483 SP M DE I SD: 0.0029 c. M:-0.0035 c. 1657: 491 675 491 SP M DE I SD: 0.0025 c. M:-0.0031 c. 1684: 499 686 499 SP M DE I SD: 0.0021 c. M:-0.0026 c. 1711: 507 697 507 SP M DE I SD: 0.0018 c. M:-0.0022 c. 1738: 515 708 515 SP M DE I SD: 0.0015 c. M:-0.0018 c. 1765: 523 719 523 SP M DE I SD: 0.0012 c. M:-0.0014 c. 1792: 531 730 531 SP M DE I SD: 0.0008 c. M:-0.0010 c. 1819: 539 741 539 SP M DE I SD: 0.0005 c. M:-0.0007 c. 1846: 547 752 547 SP M DE I SD: 0.0003 c. M:-0.0003 c. 1873: 555 763 555 SP M DE I SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 2.9000 cents 2 x 3:4 S SD: 70.2275 cents 3:4:5:6 H SD: 49.7914 cents 4:5:7:8 SD: 43.4551 cents 5:6:8:10 S SD: 16.1895 cents 8:10:13:16 SD: 10.5935 cents 13:16:21:26 SD: 4.4479 cents 22:27:36:44 SD: 3.5391 cents 27:33:44:54 SD: 2.8150 cents 35:43:57:70 SD: 1.2891 cents 75:92:122:150 SD: 1.0259 cents 110:135:179:220 SD: 0.9867 cents 158:194:257:315 SD: 0.8901 cents 171:210:278:341 SD: 0.8670 cents 180:221:293:359 SD: 0.7587 cents 185:227:301:369 SD: 0.6281 cents 193:237:314:385 SD: 0.6015 cents 198:243:322:395 SD: 0.5239 cents 220:270:358:439 SD: 0.3988 cents 233:286:379:465 SD: 0.2790 cents 260:319:423:519 SD: 0.2727 cents 268:329:436:535 SD: 0.1571 cents 308:378:501:615 SD: 0.0766 cents 576:707:937:1150 SD: 0.0397 cents