Scala analysis: xen18-erlich-flattone-03
2L 1s MOS for Flattone, L=507.14, s=188.26
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 507.140 cents 507.140000 2: 695.400 cents 695.400000 3: 1202.540 cents 1202.540000
SHOW/INTERVAL
0: 507.1400 cents 507.1400 1: 507.1400 cents 507.1400 2: 188.2600 cents 188.2600 3: 507.1400 cents 507.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 188.26000 cents 1: 2 507.14000 cents 2: 2 695.40000 cents 2: 1 1014.28000 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 : 507.1 695.4 1202.5 507.1 : 188.3 695.4 1202.5 695.4 : 507.1 1014.3 1202.5 1202.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 188.2600 .. 507.1400 cents 318.88000 cents 188.26000 cents 2: 695.4000 .. 1014.2800 cents 318.88000 cents 188.26000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 188.26000 cents, class 1 Average step (divided formal octave): 400.8467 cents Largest one step interval : 507.14000 cents Average / Smallest step : 2.129218 Largest / Average step : 1.265172 Largest / Smallest step : 2.693828 Median interval of one step : 507.14000 cents, amount: 2 Most common interval of one step : 507.14000 cents, amount: 2 Least squares average step : 393.25429 cents, oct.: 1179.76286 cents Scale is strictly proper Scale has Myhill's property chromas: 318.88000 cents and 130.62000 cents, ratio: 2.441280 generators: 1 of 507.14000 cents and 2 of 695.40000 cents ET pair of linear temperament : 19&64 Scale is distributional even Scale is a mode of a 313-tone equal temperament with octave 1202.540 cents degrees: 132 181 313 generators: 132 and 181 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Scale is a Constant Structure, by a margin of 188.26000 cents Scale diversity : 1.399885 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.469656 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 : 188.26000 cents Most common intervals : 507.14000 cents & inv., amount: 2 Number of recognisable fifths : 2, average 695.4000 cents Number of recognisable fourths : 2, average 507.1400 cents 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: 86.7881 c. M:-106.2933 c. 4: 2 0 2 P M DE I SD: 76.8568 c. M:-94.1300 c. 5: 2 1 2 SP M ME I SD: 21.3302 c. M:-26.1240 c. 7: 3 1 3 SP M DE I SD: 6.7233 c. M:-8.2343 c. 12: 5 2 5 SP M DE I SD: 4.9657 c. M:-6.0817 c. Raga Sarvasri, Warao tritonic: South America 19: 8 3 8 SP M DE I SD: 0.6592 c. M:-0.8074 c. 45: 19 7 19 SP M DE I SD: 0.4892 c. M:-0.5991 c. 64: 27 10 27 SP M DE I SD: 0.1482 c. M:-0.1816 c. 83: 35 13 35 SP M DE I SD: 0.0366 c. M:-0.0448 c. 230: 97 36 97 SP M DE I SD: 0.0148 c. M:-0.0182 c. 313: 132 49 132 SP M DE I SD: 0.0012 c. M:-0.0015 c. 1335: 563 209 563 SP M DE I SD: 0.0011 c. M:-0.0014 c. 1648: 695 258 695 SP M DE I SD: 0.0007 c. M:-0.0009 c. 1961: 827 307 827 SP M DE I SD: 0.0004 c. M:-0.0005 c. 2274: 959 356 959 SP M DE I SD: 0.0002 c. M:-0.0002 c.
FIT/HARMONIC
1 x x 2 S SD: 2.5400 cents 2 x 3:4 S SD: 3.5150 cents 5:7 x 10 SD: 37.7075 cents 6:8:9:12 S SD: 3.8317 cents 26:35:39:52 SD: 3.4197 cents 32:43:48:64 SD: 2.7605 cents 38:51:57:76 SD: 2.4612 cents 44:59:66:88 SD: 2.3553 cents 47:63:70:94 SD: 2.1007 cents 53:71:79:106 SD: 1.7136 cents 59:79:88:118 SD: 1.4977 cents 65:87:97:130 SD: 1.4124 cents 73:98:109:146 SD: 1.3222 cents 79:106:118:158 SD: 1.0738 cents 85:114:127:170 SD: 0.9210 cents 91:122:136:182 SD: 0.8593 cents 176:236:263:353 SD: 0.8255 cents 182:244:272:365 SD: 0.7510 cents 188:252:281:377 SD: 0.6999 cents 194:260:290:389 SD: 0.6720 cents 200:268:299:401 SD: 0.6658 cents 223:299:333:447 SD: 0.6351 cents 229:307:342:459 SD: 0.5456 cents 235:315:351:471 SD: 0.4704 cents 241:323:360:483 SD: 0.4125 cents 247:331:369:495 SD: 0.3756 cents 253:339:378:507 SD: 0.3618 cents 267:358:399:535 SD: 0.3085 cents 273:366:408:547 SD: 0.2556 cents 279:374:417:559 SD: 0.2269 cents 326:437:487:653 SD: 0.1929 cents 332:445:496:665 SD: 0.1390 cents 338:453:505:677 SD: 0.1091 cents