Scala analysis: slendro_pc
"Blown fifth" modern slendro, von Hornbostel
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 234.000 cents 234.000000 2: 468.000 cents 468.000000 3: 702.000 cents 702.000000 4: 936.000 cents 936.000000 5: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 264.0000 cents 264.0000 1: 234.0000 cents 234.0000 2: 234.0000 cents 234.0000 3: 234.0000 cents 234.0000 4: 234.0000 cents 234.0000 5: 264.0000 cents 264.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 234.00000 cents 1: 1 264.00000 cents 2: 3 468.00000 cents 2: 2 498.00000 cents 3: 2 702.00000 cents 3: 3 732.00000 cents 4: 1 936.00000 cents 4: 4 966.00000 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 4 5 0.0 : 234.0 468.0 702.0 936.0 1200.0 234.0 : 234.0 468.0 702.0 966.0 1200.0 468.0 : 234.0 468.0 732.0 966.0 1200.0 702.0 : 234.0 498.0 732.0 966.0 1200.0 936.0 : 264.0 498.0 732.0 966.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 234.0000 .. 264.0000 cents 30.00000 cents 234.00000 cents 2: 468.0000 .. 498.0000 cents 30.00000 cents 204.00000 cents 3: 702.0000 .. 732.0000 cents 30.00000 cents 204.00000 cents 4: 936.0000 .. 966.0000 cents 30.00000 cents 204.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 234.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 264.00000 cents Average / Smallest step : 1.025641 Largest / Average step : 1.100000 Largest / Smallest step : 1.128205 Median interval of one step : 234.00000 cents, amount: 4 Most common interval of one step : 234.00000 cents, amount: 4 Least squares average step : 236.72727 cents, oct.: 1183.63636 cents Scale is strictly proper Scale has Myhill's property chromas: 30.00000 cents and 204.00000 cents, ratio: 6.800000 generators: 1 of 234.00000 cents and 966.00000 cents ET pair of linear temperament : 36&41 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 200-tone equal temperament with octave 2/1 degrees: 39 78 117 156 200 generators: 39 and 161 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAB Step pattern size order : SSSSL Interval vector is [ 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 4 0 0 0 0 1 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 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ] Scale is a Constant Structure, by a margin of 204.00000 cents Scale diversity : 1.118587 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.900000 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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 : 30.00000 cents Most common intervals : 234.00000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 468.000 966.000 cents Number of recognisable fifths : 2, average 702.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are increasing Formal octave complements present : 1 = 20.0000% Limited transpositions with margin 30.0000 cents: 1 2 3 4 Limited inverse transpositions : 4 Inversional symmetry on degrees : 2 Inversional symmetry on intervals : 4-5 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 14.6969 c. M:-24.0000 c. 21: 4 4 4 4 5 SP M ME S SD: 13.2972 c. M: 21.7143 c. 24: 5 4 5 5 5 SP M ME S SD: 12.4900 c. M: 18.0000 c. 26: 5 5 5 5 6 SP M ME S SD: 7.9137 c. M: 12.9231 c. 31: 6 6 6 6 7 SP M ME S SD: 4.2669 c. M: 6.9677 c. 36: 7 7 7 7 8 SP M ME S SD: 1.6330 c. M: 2.6667 c. 41: 8 8 8 8 9 SP M ME S SD: 0.3585 c. M:-0.5854 c. 118: 23 23 23 23 26 SP M DE S SD: 0.2491 c. M: 0.4068 c. 159: 31 31 31 31 35 SP M DE S SD: 0.0924 c. M: 0.1509 c. 200: 39 39 39 39 44 SP M DE S SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.0225 cents 3 x 4 x 5:6 S SD: 19.9152 cents 4 x 5:6:7:8 S SD: 22.0088 cents 6:7:8:9:10:12 S SD: 13.6382 cents 12:14:16:18:21:24 S SD: 11.0648 cents 13:15:17:20:22:26 SD: 10.4963 cents 14:16:18:21:24:28 S SD: 6.6323 cents 20:23:26:30:34:40 SD: 4.7106 cents 22:25:29:33:38:44 SD: 3.8483 cents 28:32:37:42:48:56 SD: 3.0133 cents 36:41:47:54:62:72 SD: 2.4129 cents 42:48:55:63:72:84 SD: 0.8379 cents 96:110:126:144:165:192 SD: 0.7269 cents 110:126:144:165:189:220 SD: 0.4608 cents 138:158:181:207:237:276 SD: 0.3274 cents 152:174:199:228:261:304 SD: 0.3129 cents 180:206:236:270:309:360 SD: 0.2279 cents 248:284:325:372:426:496 SD: 0.1825 cents 290:332:380:435:498:580 SD: 0.0415 cents