Scala analysis: Benin_Trombone_02
Benin 2 (Trombone), Benin
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 227.000 cents 227.000000 2: 387.000 cents 387.000000 3: 694.000 cents 694.000000 4: 886.000 cents 886.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 314.0000 cents 314.0000 1: 227.0000 cents 227.0000 2: 160.0000 cents 160.0000 3: 307.0000 cents 307.0000 4: 192.0000 cents 192.0000 5: 314.0000 cents 314.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 160.00000 cents 1: 1 192.00000 cents 1: 1 227.00000 cents 1: 1 307.00000 cents 1: 1 314.00000 cents 2: 1 387.00000 cents 2: 1 467.00000 cents 2: 1 499.00000 cents 2: 1 506.00000 cents 2: 1 541.00000 cents 3: 1 659.00000 cents 3: 1 694.00000 cents 3: 1 701.00000 cents 3: 1 733.00000 cents 3: 1 813.00000 cents 4: 1 886.00000 cents 4: 1 893.00000 cents 4: 1 973.00000 cents 4: 1 1008.00000 cents 4: 1 1040.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 227.0 387.0 694.0 886.0 1200.0 227.0 : 160.0 467.0 659.0 973.0 1200.0 387.0 : 307.0 499.0 813.0 1040.0 1200.0 694.0 : 192.0 506.0 733.0 893.0 1200.0 886.0 : 314.0 541.0 701.0 1008.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 160.0000 .. 314.0000 cents 154.00000 cents 160.00000 cents 2: 387.0000 .. 541.0000 cents 154.00000 cents 73.00000 cents 3: 659.0000 .. 813.0000 cents 154.00000 cents 118.00000 cents 4: 886.0000 .. 1040.0000 cents 154.00000 cents 73.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 160.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 314.00000 cents Average / Smallest step : 1.500000 Largest / Average step : 1.308333 Largest / Smallest step : 1.962500 Median interval of one step : 227.00000 cents, amount: 1 Least squares average step : 229.58182 cents, oct.: 1147.90909 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 227 387 694 886 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 929 of 929.000 cents and inv. generated superset size: 164 = 159 more = 3280.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CADBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 73.00000 cents Scale diversity : 1.594789 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.486667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 7.00000 cents Number of recognisable fifths : 2, average 697.5000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 54.7175 c. M:-93.0000 c. 7: 1 1 2 1 2 P M ME S SD: 34.4620 c. M: 55.5714 c. Thai mode 1 9: 2 1 2 2 2 SP M ME S SD: 30.7571 c. M:-47.3333 c. Noll Pseudo-diatonic 10: 2 1 3 1 3 P T3 SD: 27.1662 c. M: 46.0000 c. 12: 2 2 3 2 3 SP M ME S SD: 15.0333 c. M: 27.0000 c. Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Bilahari, Deskar, Kokila, Jait Kalyan, Mohanam, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia 15: 3 2 4 2 4 SP T3 SD: 14.4914 c. M:-26.0000 c. 16: 3 2 4 3 4 SP T3 SD: 11.8743 c. M: 19.0000 c. 22: 4 3 6 3 6 SP T3 SD: 10.0848 c. M:-15.0909 c. 26: 5 3 7 4 7 SP SD: 9.1127 c. M: 17.7692 c. 28: 5 4 7 5 7 SP T3 SD: 9.2516 c. M:-14.0000 c. 31: 6 4 8 5 8 SP SD: 3.2875 c. M:-5.2581 c. 68: 13 9 17 11 18 SP SD: 3.2825 c. M: 5.7647 c. 69: 13 9 18 11 18 SP SD: 2.1800 c. M: 4.3913 c. 80: 15 11 20 13 21 SP SD: 2.4495 c. M: 4.0000 c. 95: 18 13 24 15 25 SP SD: 2.2292 c. M:-4.5789 c. 99: 19 13 25 16 26 SP SD: 2.1242 c. M:-3.3030 c. 100: 19 13 26 16 26 SP SD: 1.8974 c. M: 3.0000 c. 106: 20 14 27 17 28 SP SD: 2.2542 c. M: 3.4340 c. 111: 21 15 28 18 29 SP SD: 1.3765 c. M:-2.1892 c. 133: 25 18 34 21 35 SP SD: 1.1617 c. M: 1.7895 c. 137: 26 18 35 22 36 SP SD: 1.3402 c. M: 2.0292 c. 142: 27 19 36 23 37 SP SD: 1.2006 c. M:-1.7324 c. 149: 28 20 38 24 39 SP SD: 0.9316 c. M: 1.4966 c. 164: 31 22 42 26 43 SP SD: 0.6838 c. M:-1.1220 c. 180: 34 24 46 29 47 SP SD: 0.4714 c. M:-0.6667 c. 301: 57 40 77 48 79 SP SD: 0.4781 c. M: 0.9502 c. 313: 59 42 80 50 82 SP SD: 0.4096 c. M: 0.8019 c. 332: 63 44 85 53 87 SP SD: 0.3948 c. M:-0.7108 c. 344: 65 46 88 55 90 SP SD: 0.1709 c. M: 0.2558 c. 676: 128 90 173 108 177 SP SD: 0.1383 c. M:-0.2189 c. 825: 156 110 211 132 216 SP SD: 0.1286 c. M: 0.1818 c. 856: 162 114 219 137 224 SP SD: 0.0687 c. M:-0.1028 c. 1200: 227 160 307 192 314 SP 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: 3.9775 cents 3 x 4 x 5:6 S SD: 37.0190 cents 4 x 5:6:7:8 S SD: 20.8025 cents 5 x 6:7:8:10 S SD: 37.7085 cents 6:7:8:9:10:12 S SD: 23.6530 cents 7:8:9:10:12:14 S SD: 20.4008 cents 8:9:10:12:13:16 SD: 10.3240 cents 12:14:15:18:20:24 S SD: 8.1391 cents 15:17:19:22:25:30 SD: 7.9040 cents 16:18:20:24:27:32 SD: 6.2977 cents 20:23:25:30:33:40 SD: 5.0995 cents 24:27:30:36:40:48 S SD: 4.8973 cents 27:31:34:40:45:54 SD: 4.3847 cents 28:32:35:42:47:56 SD: 2.7947 cents 36:41:45:54:60:72 SD: 1.6717 cents 57:65:71:85:95:114 SD: 1.4632 cents 63:72:79:94:105:126 SD: 1.3368 cents 79:90:99:118:132:158 SD: 0.9641 cents 99:113:124:148:165:198 SD: 0.8718 cents 100:114:125:149:167:200 SD: 0.8232 cents 108:123:135:161:180:216 SD: 0.7542 cents 120:137:150:179:200:240 SD: 0.6822 cents 136:155:170:203:227:272 SD: 0.2799 cents 235:268:294:351:392:470 SD: 0.2201 cents 292:333:365:436:487:584 SD: 0.1893 cents 335:382:419:500:559:670 SD: 0.1843 cents 343:391:429:512:572:686 SD: 0.1782 cents 371:423:464:554:619:742 SD: 0.0760 cents