Scala analysis: 717_S26
Semi-tempered tetrachord 1.09301 * 1.07837 * 1.13122
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 153.968 cents 153.967920 2: 284.591 cents 284.590640 3: 498.046 cents 498.046080
SHOW/INTERVAL
0: 213.4554 cents 213.4554 1: 153.9679 cents 153.9679 2: 130.6227 cents 130.6227 3: 213.4554 cents 213.4554
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 130.62272 cents 1: 1 153.96792 cents 1: 1 213.45544 cents 2: 1 284.59064 cents 2: 1 344.07816 cents 2: 1 367.42336 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 154.0 284.6 498.0 154.0: 130.6 344.1 498.0 284.6: 213.5 367.4 498.0 498.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 130.6227 .. 213.4554 cents 82.83272 cents 130.62272 cents 2: 284.5906 .. 367.4234 cents 82.83272 cents 71.13520 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 130.62272 cents, class 1 Average step (divided formal octave): 166.0154 cents Largest one step interval : 213.45544 cents Average / Smallest step : 1.270953 Largest / Average step : 1.285757 Largest / Smallest step : 1.634137 Median interval of one step : 153.96792 cents, amount: 1 Least squares average step : 158.37767 cents, oct.: 475.13302 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: ABC Step pattern size order : MSL Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 71.13520 cents Scale diversity : 1.352751 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.667369 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 23.34520 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 82.8327 cents: 2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 28.2589 c. M:-47.4401 c. 4: 1 1 2 P M ME S SD: 26.6629 c. M: 35.5676 c. 6: 2 1 3 P T3 SD: 21.6810 c. M: 35.5676 c. 7: 2 2 3 SP M ME S SD: 6.7371 c. M: 11.6690 c. 12: 4 3 5 SP T3 SD: 7.7541 c. M:-12.0474 c. Raga Malasri, Peruvian tritonic 1 16: 5 4 7 SP T3 SD: 2.7389 c. M: 4.4397 c. 19: 6 5 8 SP T3 SD: 2.8885 c. M:-3.7518 c. 23: 7 6 10 SP T3 SD: 2.2532 c. M: 3.0863 c. 26: 8 7 11 SP T3 SD: 1.6381 c. M:-2.7436 c. 35: 11 9 15 SP T3 SD: 1.4785 c. M:-2.5608 c. 42: 13 11 18 SP T3 SD: 0.1093 c. M:-0.1892 c. 259: 80 68 111 SP T3 SD: 0.0759 c. M: 0.1313 c. 301: 93 79 129 SP T3 SD: 0.0502 c. M: 0.0866 c. 343: 106 90 147 SP T3 SD: 0.0308 c. M: 0.0528 c. 385: 119 101 165 SP T3 SD: 0.0158 c. M: 0.0264 c. 427: 132 112 183 SP T3 SD: 0.0051 c. M:-0.0071 c. 896: 277 235 384 SP T3 SD: 0.0047 c. M:-0.0071 c. 1323: 409 347 567 SP T3 SD: 0.0041 c. M:-0.0071 c. 1750: 541 459 750 SP T3 SD: 0.0041 c. M:-0.0071 c.
FIT/HARMONIC
1 x x 2 S SD: 701.9539 cents 2 x x 3 S SD: 203.9089 cents 3 x x 4 S SD: 0.0011 cents 4 x 5 x S SD: 101.7231 cents 5 x 6:7 S SD: 44.9963 cents 6 x 7:8 S SD: 8.8599 cents 7 x 8:9 S SD: 41.2842 cents 8:9 x 11 SD: 36.5106 cents 9:10:11:12 H SD: 22.9846 cents 10:11:12:13 H SD: 18.2793 cents 11:12:13:15 SD: 13.1064 cents 12:13:14:16 S SD: 7.8245 cents 21:23:25:28 SD: 5.8708 cents 33:36:39:44 SD: 1.8983 cents 78:85:92:104 SD: 1.7729 cents 84:92:99:112 SD: 1.1761 cents 96:105:113:128 SD: 0.8696 cents 117:128:138:156 SD: 0.6654 cents 129:141:152:172 SD: 0.1836 cents 291:318:343:388 SD: 0.1202 cents 420:459:495:560 SD: 0.0938 cents 537:587:633:716 SD: 0.0725 cents