Scala analysis: xen18-erlich-beatles-02
1L 1s MOS for Beatles, L=842.38, 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: 1197.100 cents 1197.100000
SHOW/INTERVAL
0: 842.3800 cents 842.3800 1: 354.7200 cents 354.7200 2: 842.3800 cents 842.3800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 354.72000 cents 1: 1 842.38000 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 0.0 : 354.7 1197.1 354.7 : 842.4 1197.1 1197.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 354.7200 .. 842.3800 cents 487.66000 cents 354.72000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 354.72000 cents, class 1 Average step (divided formal octave): 598.5500 cents Largest one step interval : 842.38000 cents Average / Smallest step : 1.687387 Largest / Average step : 1.407368 Largest / Smallest step : 2.374774 Median interval of one step : 598.55000 cents, amount: 0 Least squares average step : 549.78400 cents, oct.: 1099.56800 cents Scale is strictly proper Scale has Myhill's property chromas: 487.66000 cents and 132.94000 cents, ratio: 3.668271 generator: 1 of 354.72000 cents ET pair of linear temperament : 10&27 Scale is distributional even Scale is a mode of a 1495-tone equal temperament with octave 1197.100 cents degrees: 443 1495 generator: 443 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : SL Scale is a Constant Structure, by a margin of 354.72000 cents Scale diversity : 1.555848 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.592632 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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 : 487.66000 cents Most common intervals : 354.72000 cents & inv., amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 172.4138 c. M:-243.8300 c. 3: 1 2 SP M ME SD: 31.3343 c. M:-44.3133 c. 7: 2 5 SP M DE SD: 8.9742 c. M: 12.6914 c. 10: 3 7 SP M DE SD: 3.1183 c. M:-4.4100 c. 17: 5 12 SP M DE SD: 1.8609 c. M: 2.6318 c. 27: 8 19 SP M DE SD: 0.0168 c. M: 0.0237 c. 955: 283 672 SP M DE SD: 0.0161 c. M:-0.0227 c. 982: 291 691 SP M DE SD: 0.0152 c. M:-0.0214 c. 1009: 299 710 SP M DE SD: 0.0143 c. M:-0.0202 c. 1036: 307 729 SP M DE SD: 0.0135 c. M:-0.0191 c. 1063: 315 748 SP M DE SD: 0.0127 c. M:-0.0180 c. 1090: 323 767 SP M DE SD: 0.0120 c. M:-0.0170 c. 1117: 331 786 SP M DE SD: 0.0113 c. M:-0.0160 c. 1144: 339 805 SP M DE SD: 0.0106 c. M:-0.0151 c. 1171: 347 824 SP M DE SD: 0.0100 c. M:-0.0142 c. 1198: 355 843 SP M DE SD: 0.0094 c. M:-0.0133 c. 1225: 363 862 SP M DE SD: 0.0088 c. M:-0.0125 c. 1252: 371 881 SP M DE SD: 0.0083 c. M:-0.0117 c. 1279: 379 900 SP M DE SD: 0.0078 c. M:-0.0110 c. 1306: 387 919 SP M DE SD: 0.0072 c. M:-0.0102 c. 1333: 395 938 SP M DE SD: 0.0068 c. M:-0.0096 c. 1360: 403 957 SP M DE SD: 0.0063 c. M:-0.0089 c. 1387: 411 976 SP M DE SD: 0.0058 c. M:-0.0083 c. 1414: 419 995 SP M DE SD: 0.0054 c. M:-0.0077 c. 1441: 427 1014 SP M DE SD: 0.0050 c. M:-0.0071 c. 1468: 435 1033 SP M DE SD: 0.0046 c. M:-0.0065 c. 1495: 443 1052 SP M DE SD: 0.0042 c. M:-0.0060 c. 1522: 451 1071 SP M DE SD: 0.0038 c. M:-0.0054 c. 1549: 459 1090 SP M DE SD: 0.0035 c. M:-0.0049 c. 1576: 467 1109 SP M DE SD: 0.0031 c. M:-0.0044 c. 1603: 475 1128 SP M DE SD: 0.0028 c. M:-0.0040 c. 1630: 483 1147 SP M DE SD: 0.0025 c. M:-0.0035 c. 1657: 491 1166 SP M DE SD: 0.0022 c. M:-0.0031 c. 1684: 499 1185 SP M DE SD: 0.0019 c. M:-0.0026 c. 1711: 507 1204 SP M DE SD: 0.0016 c. M:-0.0022 c. 1738: 515 1223 SP M DE SD: 0.0013 c. M:-0.0018 c. 1765: 523 1242 SP M DE SD: 0.0010 c. M:-0.0014 c. 1792: 531 1261 SP M DE SD: 0.0007 c. M:-0.0010 c. 1819: 539 1280 SP M DE SD: 0.0005 c. M:-0.0007 c. 1846: 547 1299 SP M DE SD: 0.0002 c. M:-0.0003 c. 1873: 555 1318 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x 2 S SD: 2.9000 cents 13:16:26 SD: 2.7836 cents 22:27:44 SD: 1.4526 cents 154:189:307 SD: 1.3678 cents 158:194:315 SD: 1.3325 cents 163:200:325 SD: 1.2421 cents 167:205:333 SD: 1.1504 cents 176:216:351 SD: 1.0163 cents 180:221:359 SD: 0.9951 cents 185:227:369 SD: 0.9297 cents 189:232:377 SD: 0.8471 cents 198:243:395 SD: 0.7437 cents 202:248:403 SD: 0.7326 cents 207:254:413 SD: 0.6872 cents 211:259:421 SD: 0.6072 cents 220:270:439 SD: 0.5267 cents 224:275:447 SD: 0.5239 cents 229:281:457 SD: 0.4967 cents 233:286:465 SD: 0.4127 cents 242:297:483 SD: 0.3511 cents 251:308:501 SD: 0.3494 cents 255:313:509 SD: 0.2520 cents 264:324:527 SD: 0.2096 cents 277:340:553 SD: 0.1176 cents 286:351:571 SD: 0.1080 cents 299:367:597 SD: 0.0208 cents