Scala analysis: xen18-erlich-pajara-04
2L 2s MOS for Pajara, L=491.88, s=106.57
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 106.570 cents 106.570000 2: 598.450 cents 598.450000 3: 705.020 cents 705.020000 4: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 491.8800 cents 491.8800 1: 106.5700 cents 106.5700 2: 491.8800 cents 491.8800 3: 106.5700 cents 106.5700 4: 491.8800 cents 491.8800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 106.57000 cents 1: 2 491.88000 cents 2: 4 598.45000 cents 3: 2 705.02000 cents 3: 2 1090.33000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.66667 = 5/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 106.6 598.4 705.0 1196.9 106.6 : 491.9 598.4 1090.3 1196.9 598.4 : 106.6 598.4 705.0 1196.9 705.0 : 491.9 598.4 1090.3 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.5700 .. 491.8800 cents 385.31000 cents 106.57000 cents 2: 598.4500 .. 598.4500 cents 1/1, 0.0000 cents 106.57000 cents 3: 705.0200 .. 1090.3300 cents 385.31000 cents 106.57000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 106.57000 cents, class 1 Average step (divided formal octave): 299.2250 cents Largest one step interval : 491.88000 cents Average / Smallest step : 2.807779 Largest / Average step : 1.643847 Largest / Smallest step : 4.615558 Median interval of one step : 299.22500 cents, amount: 0 Least squares average step : 273.53767 cents, oct.: 1094.15067 cents Scale is strictly proper Scale has 2 repeating blocks of 2 notes Blocks have Myhill's property chromas: 385.31000 cents and 278.74000 cents, ratio: 1.382328 generator: 1 of 106.57000 cents ET pair of linear temperament : 22&34 Scale is distributional even Scale is a mode of a 146-tone equal temperament with octave 1196.900 cents degrees: 13 73 86 146 Least number of segments generator : 75 of 614.846 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 133 of 1090.327 cents and inv. generated superset size: 75 = 71 more = 1875.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAB Step pattern size order : SLSL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 ] Scale is a Constant Structure, by a margin of 106.57000 cents Scale diversity : 1.033887 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.356153 Rothenberg efficiency (ambiguous key): 1.000000 redundancy: 0.000000 Efficiency x scale size : 4.000000 Number of different interval sizes : 5 = 1.66667 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.66667 = 5/3 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 106.57000 cents Most common intervals : 598.45000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 106.570 598.450 cents Number of recognisable fifths : 2, average 705.0200 cents Number of recognisable fourths : 2, average 491.8800 cents Best minor thirds form a closed circle Formal octave complements present : 2 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 2 Limited inverse transpositions : 1 3 Inversional symmetry on intervals : 0-1 1-2 2-3 3-4 -- Rational properties --
FIT/MODE
4: 0 2 0 2 P B DE SD: 75.3564 c. M: 106.5700 c. 7: 1 2 1 3 P G D3 SD: 54.5497 c. M: 85.4929 c. 8: 1 3 1 3 SP B DE SD: 30.4356 c. M:-43.0425 c. 10: 1 4 1 4 SP B DE SD: 9.2772 c. M:-13.1200 c. 12: 1 5 1 5 SP B DE SD: 4.8284 c. M: 6.8283 c. Messiaen truncated mode 5 22: 2 9 2 9 SP B DE SD: 1.5833 c. M:-2.2391 c. 34: 3 14 3 14 SP B DE SD: 0.6797 c. M: 0.9612 c. 56: 5 23 5 23 SP B DE SD: 0.2094 c. M:-0.2961 c. 90: 8 37 8 37 SP B DE SD: 0.1265 c. M: 0.1789 c. 146: 13 60 13 60 SP B DE SD: 0.0023 c. M:-0.0033 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.1000 cents 2 x x 3:4 S SD: 2.1797 cents 3 x 4:5:6 S SD: 68.5186 cents 4 x x 6:8 S SD: 2.1797 cents 46:49:65:69:92 SD: 1.2966 cents 80:85:113:120:160 SD: 1.1703 cents 109:116:154:164:218 SD: 0.9990 cents 141:150:199:212:281 SD: 0.9520 cents 143:152:202:215:285 SD: 0.8188 cents 155:165:219:233:309 SD: 0.7677 cents 157:167:222:236:313 SD: 0.7091 cents 175:186:247:263:349 SD: 0.7082 cents 187:199:264:281:373 SD: 0.5961 cents 189:201:267:284:377 SD: 0.3793 cents 235:250:332:353:469 SD: 0.2588 cents 298:317:421:448:595 SD: 0.2411 cents 332:353:469:499:663 SD: 0.2078 cents 346:368:489:520:691 SD: 0.1985 cents 487:518:688:732:972 SD: 0.1918 cents 489:520:691:735:976 SD: 0.1721 cents 521:554:736:783:1040 SD: 0.1357 cents 535:569:756:804:1068 SD: 0.0728 cents