Scala analysis: 718_S27
Semi-tempered tetrachord 1.09429 * 1.07874 * 1.1295
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 155.994 cents 155.994140 2: 287.211 cents 287.210770 3: 498.032 cents 498.031890
SHOW/INTERVAL
0: 210.8211 cents 210.8211 1: 155.9941 cents 155.9941 2: 131.2166 cents 131.2166 3: 210.8211 cents 210.8211
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.21663 cents 1: 1 155.99414 cents 1: 1 210.82112 cents 2: 1 287.21077 cents 2: 1 342.03775 cents 2: 1 366.81526 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 : 156.0 287.2 498.0 156.0: 131.2 342.0 498.0 287.2: 210.8 366.8 498.0 498.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.2166 .. 210.8211 cents 79.60449 cents 131.21663 cents 2: 287.2108 .. 366.8153 cents 79.60449 cents 76.38965 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 131.21663 cents, class 1 Average step (divided formal octave): 166.0106 cents Largest one step interval : 210.82112 cents Average / Smallest step : 1.265165 Largest / Average step : 1.269925 Largest / Smallest step : 1.606665 Median interval of one step : 155.99414 cents, amount: 1 Least squares average step : 158.89367 cents, oct.: 476.68100 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 1708-tone equal temperament with octave 498.032 cents degrees: 535 985 1708 Least number of segments generator : 855 of 249.308 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 937 of 273.218 cents and inv. generated superset size: 46 = 43 more = 1533.333% Number of contiguous 1-step segments: 0 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 76.38965 cents Scale diversity : 1.355759 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.680324 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 : 24.77751 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 79.6045 cents: 2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 26.5098 c. M:-44.8105 c. 4: 1 1 2 P M ME S SD: 28.5787 c. M: 38.1948 c. 5: 2 1 2 SP M ME I SD: 25.8367 c. M:-43.2186 c. 6: 2 1 3 P T3 SD: 22.7975 c. M: 38.1948 c. 7: 2 2 3 SP M ME S SD: 8.0528 c. M: 13.6993 c. 9: 3 2 4 SP T3 SD: 8.3892 c. M: 10.5264 c. 10: 3 3 4 SP M ME S SD: 7.7052 c. M:-11.6084 c. 12: 4 3 5 SP T3 SD: 6.0902 c. M:-10.0165 c. Raga Malasri, Peruvian tritonic 1 16: 5 4 7 SP T3 SD: 4.0859 c. M: 7.0678 c. 19: 6 5 8 SP T3 SD: 0.9829 c. M:-1.2791 c. 45: 14 12 19 SP T3 SD: 0.6824 c. M: 1.0509 c. 64: 20 17 27 SP T3 SD: 0.4614 c. M:-0.7139 c. 80: 25 21 34 SP T3 SD: 0.5287 c. M: 0.8424 c. 83: 26 22 35 SP T3 SD: 0.4664 c. M:-0.8077 c. 99: 31 26 42 SP T3 SD: 0.2698 c. M: 0.4651 c. 118: 37 31 50 SP T3 SD: 0.1551 c. M: 0.2093 c. 163: 51 43 69 SP T3 SD: 0.0971 c. M: 0.1682 c. 182: 57 48 77 SP T3 SD: 0.0673 c. M:-0.1153 c. 281: 88 74 119 SP T3 SD: 0.0538 c. M: 0.0892 c. 300: 94 79 127 SP T3 SD: 0.0330 c. M:-0.0559 c. 463: 145 122 196 SP T3 SD: 0.0142 c. M: 0.0230 c. 763: 239 201 323 SP T3 SD: 0.0075 c. M: 0.0102 c. 945: 296 249 400 SP T3 SD: 0.0083 c. M:-0.0140 c. 1226: 384 323 519 SP T3 SD: 0.0060 c. M: 0.0097 c. 1408: 441 371 596 SP T3 SD: 0.0049 c. M:-0.0065 c. 1708: 535 450 723 SP T3 SD: 0.0036 c. M:-0.0053 c. 2171: 680 572 919 SP T3 SD: 0.0006 c. M: 0.0007 c.
FIT/HARMONIC
1 x x 2 S SD: 701.9681 cents 2 x x 3 S SD: 203.9231 cents 3 x x 4 S SD: 0.0131 cents 4 x 5 x S SD: 99.1029 cents 5 x 6:7 S SD: 44.5680 cents 6 x 7:8 S SD: 10.1699 cents 7 x 8:9 S SD: 42.1383 cents 8:9 x 11 SD: 35.8306 cents 9:10:11:12 H SD: 21.9119 cents 10:11:12:13 H SD: 17.6682 cents 11:12:13:15 SD: 13.1122 cents 12:13:14:16 S SD: 8.9270 cents 21:23:25:28 SD: 4.9041 cents 33:36:39:44 SD: 1.9060 cents 72:79:85:96 SD: 1.5450 cents 84:92:99:112 SD: 1.0481 cents 105:115:124:140 SD: 0.5559 cents 117:128:138:156 SD: 0.4945 cents 138:151:163:184 SD: 0.3476 cents 222:243:262:296 SD: 0.2093 cents 255:279:301:340 SD: 0.0960 cents 360:394:425:480 SD: 0.0954 cents 477:522:563:636 SD: 0.0830 cents