Scala analysis: 654_T61
Aristoxenian style tetrachord 10 + 8 + 12, Savas
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 166.667 cents 166.666670 2: 300.000 cents 300.000000 3: 500.000 cents 500.000000
SHOW/INTERVAL
0: 200.0000 cents 200.0000 1: 166.6667 cents 166.6667 2: 133.3333 cents 133.3333 3: 200.0000 cents 200.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.33333 cents 1: 1 166.66667 cents 1: 1 200.00000 cents 2: 1 300.00000 cents 2: 1 333.33333 cents 2: 1 366.66667 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 : 166.7 300.0 500.0 166.7: 133.3 333.3 500.0 300.0: 200.0 366.7 500.0 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.3333 .. 200.0000 cents 66.66667 cents 133.33333 cents 2: 300.0000 .. 366.6667 cents 66.66667 cents 100.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 133.33333 cents, class 1 Average step (divided formal octave): 166.6667 cents Largest one step interval : 200.00000 cents Average / Smallest step : 1.250000 Largest / Average step : 1.200000 Largest / Smallest step : 1.500000 Median interval of one step : 166.66667 cents, amount: 1 Least squares average step : 161.90476 cents, oct.: 485.71429 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 15-tone equal temperament with octave 500.000 cents degrees: 5 9 15 Least number of segments generator : 8 of 266.667 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 13 of 433.333 cents and inv. generated superset size: 6 = 3 more = 200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : MSL Interval vector is [ 0 0 0 1 1 1 0 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 100.00000 cents Scale diversity : 1.341061 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.733333 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 : 33.33333 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% -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 19.2450 c. M:-33.3333 c. 5: 2 1 2 SP M ME I SD: 19.2450 c. M:-33.3333 c. 7: 2 2 3 SP M ME S SD: 16.0310 c. M: 23.8095 c. 8: 3 2 3 SP M ME I SD: 14.0271 c. M:-20.8333 c. 9: 3 2 4 SP T3 SD: 12.8300 c. M: 22.2222 c. 10: 3 3 4 SP M ME S SD: 9.6225 c. M: 16.6667 c. 12: 4 3 5 SP T3 SD: 4.8113 c. M: 8.3333 c. Raga Malasri, Peruvian tritonic 1 15: 5 4 6 SP T3 SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 700.0000 cents 2 x x 3 S SD: 201.9550 cents 3 x x 4 S SD: 1.9550 cents 4 x 5 x S SD: 86.3137 cents 5 x 6:7 S SD: 41.9908 cents 6 x 7:8 S SD: 16.5934 cents 7:8 x 9 S SD: 45.7583 cents 8:9:10:11 H SD: 35.7004 cents 9:10:11:12 H SD: 16.6633 cents 10:11:12:13 H SD: 16.1375 cents 11:12:13:15 SD: 13.8994 cents 17:19:20:23 SD: 13.1725 cents 18:20:21:24 S SD: 12.2430 cents 20:22:24:27 S SD: 8.3644 cents 21:23:25:28 SD: 3.1864 cents 48:53:57:64 SD: 1.9393 cents 69:76:82:92 SD: 0.7863 cents 137:151:163:183 SD: 0.7682 cents 149:164:177:199 SD: 0.7290 cents 158:174:188:211 SD: 0.4295 cents 227:250:270:303 SD: 0.1759 cents 475:523:565:634 SD: 0.1368 cents