Scala analysis: Peru_Panpipes_27
27 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 212.000 cents 212.000000 2: 400.000 cents 400.000000 3: 590.000 cents 590.000000 4: 778.000 cents 778.000000 5: 931.000 cents 931.000000 6: 1136.000 cents 1136.000000
SHOW/INTERVAL
0: 205.0000 cents 205.0000 1: 212.0000 cents 212.0000 2: 188.0000 cents 188.0000 3: 190.0000 cents 190.0000 4: 188.0000 cents 188.0000 5: 153.0000 cents 153.0000 6: 205.0000 cents 205.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 153.00000 cents 1: 2 188.00000 cents 1: 1 190.00000 cents 1: 1 205.00000 cents 1: 1 212.00000 cents 2: 1 341.00000 cents 2: 1 358.00000 cents 2: 2 378.00000 cents 2: 1 400.00000 cents 2: 1 417.00000 cents 3: 1 531.00000 cents 3: 1 546.00000 cents 3: 1 566.00000 cents 3: 1 570.00000 cents 3: 1 590.00000 cents 3: 1 605.00000 cents 4: 1 719.00000 cents 4: 1 736.00000 cents 4: 2 758.00000 cents 4: 1 778.00000 cents 4: 1 795.00000 cents 5: 1 924.00000 cents 5: 1 931.00000 cents 5: 1 946.00000 cents 5: 2 948.00000 cents 5: 1 983.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.20000 = 26/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 212.0 400.0 590.0 778.0 931.0 1136.0 212.0 : 188.0 378.0 566.0 719.0 924.0 1136.0 400.0 : 190.0 378.0 531.0 736.0 948.0 1136.0 590.0 : 188.0 341.0 546.0 758.0 946.0 1136.0 778.0 : 153.0 358.0 570.0 758.0 948.0 1136.0 931.0 : 205.0 417.0 605.0 795.0 983.0 1136.0 1136.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 153.0000 .. 212.0000 cents 59.00000 cents 153.00000 cents 2: 341.0000 .. 417.0000 cents 76.00000 cents 129.00000 cents 3: 531.0000 .. 605.0000 cents 74.00000 cents 114.00000 cents 4: 719.0000 .. 795.0000 cents 76.00000 cents 114.00000 cents 5: 924.0000 .. 983.0000 cents 59.00000 cents 129.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 153.00000 cents, class 1 Average step (divided formal octave): 189.3333 cents Largest one step interval : 212.00000 cents Average / Smallest step : 1.237473 Largest / Average step : 1.119718 Largest / Smallest step : 1.385621 Median interval of one step : 189.00000 cents, amount: 0 Most common interval of one step : 188.00000 cents, amount: 2 Least squares average step : 190.82418 cents, oct.: 1144.94505 cents Scale is strictly proper Scale is a mode of a 1136-tone equal temperament with octave 1136.000 cents degrees: 212 400 590 778 931 1136 Least number of segments generator : 569 of 569.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 931 of 931.000 cents and inv. generated superset size: 303 = 297 more = 5050.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBDE Step pattern size order : EBCBAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 114.00000 cents Scale diversity : 1.436323 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.697183 Rothenberg efficiency : 0.377778 redundancy: 0.622222 Efficiency x scale size : 2.266667 Number of different interval sizes : 26 = 5.20000 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.20000 = 26/5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 1, average 719.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 59.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 18.8213 c. M: 22.6667 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 15: 3 2 3 2 2 3 SP D3 SD: 17.5967 c. M: 22.2000 c. 16: 3 3 2 3 2 3 SP D3 SD: 14.3411 c. M:-26.0000 c. 17: 3 3 3 3 2 3 SP M ME SD: 11.9368 c. M:-23.8824 c. 20: 4 3 3 4 2 4 SP T3 SD: 15.8613 c. M: 22.2000 c. 21: 4 3 4 3 3 4 SP D3 SD: 13.2691 c. M: 21.3333 c. 22: 4 4 3 4 3 4 SP D3 SD: 10.7970 c. M: 22.0000 c. 23: 4 4 4 4 3 4 SP M ME SD: 8.6115 c. M: 14.4348 c. 29: 5 5 5 5 4 5 SP M ME SD: 8.6404 c. M: 16.1379 c. 31: 6 5 5 5 4 6 SP SD: 7.9335 c. M: 14.8710 c. 32: 6 5 6 5 4 6 SP SD: 7.5993 c. M:-13.5000 c. 34: 6 6 6 5 5 6 SP D3 S SD: 7.9096 c. M: 11.5294 c. 37: 7 6 6 6 5 7 SP SD: 6.5916 c. M: 10.4324 c. 38: 7 6 7 6 5 7 SP SD: 6.0246 c. M: 11.3684 c. 39: 7 7 6 7 5 7 SP SD: 6.5130 c. M:-8.4615 c. 42: 8 7 7 7 5 8 SP SD: 6.4235 c. M: 11.3810 c. 43: 8 7 7 7 6 8 SP SD: 6.7395 c. M: 11.8605 c. 44: 8 7 8 7 6 8 SP SD: 6.0641 c. M: 12.7273 c. 48: 9 8 8 8 6 9 SP SD: 3.7019 c. M: 8.0000 c. 54: 10 9 9 9 7 10 SP SD: 2.3327 c. M: 5.3704 c. 60: 11 10 10 10 8 11 SP SD: 2.6701 c. M: 3.7333 c. 79: 15 13 13 13 11 14 SP SD: 2.4691 c. M:-3.6962 c. 96: 18 16 16 16 13 17 SP SD: 2.3422 c. M:-3.8333 c. 102: 19 17 17 17 14 18 SP SD: 2.0090 c. M:-4.5294 c. 111: 21 18 19 18 15 20 SP SD: 1.9263 c. M:-3.5856 c. 117: 22 19 20 19 16 21 SP SD: 1.5378 c. M:-2.2735 c. 133: 25 22 22 22 18 24 SP SD: 0.9485 c. M:-1.5338 c. 150: 28 25 25 25 20 27 SP SD: 1.0748 c. M:-2.0533 c. 156: 29 26 26 26 21 28 SP SD: 0.7710 c. M:-1.1795 c. 193: 36 32 32 32 26 35 SP SD: 0.8313 c. M: 1.3990 c. 210: 39 35 35 35 28 38 SP SD: 0.6508 c. M: 1.0286 c. 267: 50 44 45 44 36 48 SP SD: 0.7609 c. M:-1.4007 c. 273: 51 45 46 45 37 49 SP SD: 0.6255 c. M:-1.1026 c. 283: 53 47 47 47 38 51 SP SD: 0.7296 c. M:-1.4134 c. 289: 54 48 48 48 39 52 SP SD: 0.5077 c. M:-0.9412 c. 295: 55 49 49 49 40 53 SP SD: 0.5460 c. M:-0.9051 c. 321: 60 53 54 53 43 58 SP SD: 0.5029 c. M:-1.0031 c. 327: 61 54 55 54 44 59 SP SD: 0.3207 c. M:-0.5810 c. 460: 86 76 77 76 62 83 SP SD: 0.1873 c. M:-0.3826 c. 466: 87 77 78 77 63 84 SP SD: 0.1954 c. M: 0.3519 c. 520: 97 86 87 86 70 94 SP SD: 0.2162 c. M: 0.3538 c. 616: 115 102 103 102 83 111 SP SD: 0.1825 c. M:-0.2987 c. 670: 125 111 112 111 90 121 SP SD: 0.1359 c. M:-0.2448 c. 676: 126 112 113 112 91 122 SP SD: 0.1275 c. M: 0.2604 c. 809: 151 134 135 134 109 146 SP SD: 0.1296 c. M: 0.2349 c. 926: 173 153 155 153 125 167 SP SD: 0.1476 c. M:-0.2333 c. 980: 183 162 164 162 132 177 SP SD: 0.1227 c. M: 0.1878 c. 1082: 202 179 181 179 146 195 SP SD: 0.1164 c. M:-0.2680 c. 1130: 211 187 189 187 152 204 SP SD: 0.0999 c. M:-0.1204 c. 1136: 212 188 190 188 153 205 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 64.0000 cents 2 x x x 3 x 4 S SD: 49.6962 cents 3 x x 4 x 5:6 S SD: 40.4518 cents 4 x 5 x 6:7:8 S SD: 26.8060 cents 5 x 6:7:8:9:10 S SD: 28.3132 cents 6:7 x 8:9:10:12 S SD: 30.6730 cents 7:8:9:10:11:12:13 H SD: 13.4506 cents 12:14:15:17:19:21:23 SD: 12.0184 cents 13:15:16:18:20:22:25 SD: 11.8905 cents 14:16:18:20:22:24:27 S SD: 8.1307 cents 15:17:19:21:24:26:29 SD: 7.2975 cents 22:25:28:31:34:38:42 SD: 6.4655 cents 23:26:29:32:36:39:44 SD: 4.6878 cents 30:34:38:42:47:51:58 SD: 3.0956 cents 39:44:49:55:61:67:75 SD: 1.8405 cents 62:70:78:87:97:106:119 SD: 1.5923 cents 69:78:87:97:108:118:133 SD: 0.5703 cents 153:173:193:215:240:262:295 SD: 0.4800 cents 185:209:233:260:290:317:357 SD: 0.4698 cents 192:217:242:270:301:329:370 SD: 0.2718 cents 261:295:329:367:409:447:503 SD: 0.1742 cents 500:565:630:703:784:856:964 SD: 0.1670 cents 539:609:679:758:845:923:1039 SD: 0.1481 cents 569:643:717:800:892:974:1097 SD: 0.1389 cents