Scala analysis: Peru_Panpipes_30
30 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 331.000 cents 331.000000 2: 621.000 cents 621.000000 3: 888.000 cents 888.000000 4: 1106.000 cents 1106.000000 5: 1333.000 cents 1333.000000 6: 1541.000 cents 1541.000000
SHOW/INTERVAL
0: 208.0000 cents 208.0000 1: 331.0000 cents 331.0000 2: 290.0000 cents 290.0000 3: 267.0000 cents 267.0000 4: 218.0000 cents 218.0000 5: 227.0000 cents 227.0000 6: 208.0000 cents 208.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 208.00000 cents 1: 1 218.00000 cents 1: 1 227.00000 cents 1: 1 267.00000 cents 1: 1 290.00000 cents 1: 1 331.00000 cents 2: 1 435.00000 cents 2: 1 445.00000 cents 2: 1 485.00000 cents 2: 1 539.00000 cents 2: 1 557.00000 cents 2: 1 621.00000 cents 3: 1 653.00000 cents 3: 1 712.00000 cents 3: 1 766.00000 cents 3: 1 775.00000 cents 3: 1 829.00000 cents 3: 1 888.00000 cents 4: 1 920.00000 cents 4: 1 984.00000 cents 4: 1 1002.00000 cents 4: 1 1056.00000 cents 4: 1 1096.00000 cents 4: 1 1106.00000 cents 5: 1 1210.00000 cents 5: 1 1251.00000 cents 5: 1 1274.00000 cents 5: 1 1314.00000 cents 5: 1 1323.00000 cents 5: 1 1333.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 331.0 621.0 888.0 1106.0 1333.0 1541.0 331.0 : 290.0 557.0 775.0 1002.0 1210.0 1541.0 621.0 : 267.0 485.0 712.0 920.0 1251.0 1541.0 888.0 : 218.0 445.0 653.0 984.0 1274.0 1541.0 1106.0: 227.0 435.0 766.0 1056.0 1323.0 1541.0 1333.0: 208.0 539.0 829.0 1096.0 1314.0 1541.0 1541.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 208.0000 .. 331.0000 cents 123.00000 cents 208.00000 cents 2: 435.0000 .. 621.0000 cents 186.00000 cents 104.00000 cents 3: 653.0000 .. 888.0000 cents 235.00000 cents 32.00000 cents 4: 920.0000 .. 1106.0000 cents 186.00000 cents 32.00000 cents 5: 1210.0000 .. 1333.0000 cents 123.00000 cents 104.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 208.00000 cents, class 1 Average step (divided formal octave): 256.8333 cents Largest one step interval : 331.00000 cents Average / Smallest step : 1.234776 Largest / Average step : 1.288774 Largest / Smallest step : 1.591346 Median interval of one step : 247.00000 cents, amount: 0 Least squares average step : 270.02198 cents, oct.: 1620.13187 cents Scale is strictly proper Scale is a mode of a 1541-tone equal temperament with octave 1541.000 cents degrees: 331 621 888 1106 1333 1541 Least number of segments generator : 771 of 771.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 911 of 911.000 cents and inv. generated superset size: 283 = 277 more = 4716.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FEDBCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 32.00000 cents Scale diversity : 0.844377 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.446463 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 9.00000 cents Number of recognisable fifths : 1, average 712.0000 cents Number of recognisable fourths : 1, average 485.0000 cents Number of appreciable fourths : 0 Best minor thirds form a closed circle Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 81.0355 c. M: 117.5000 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 47.8340 c. M:-109.2857 c. 8: 2 1 2 1 1 1 P D3 SD: 46.8296 c. M:-75.1250 c. 9: 2 2 1 1 2 1 P D3 SD: 46.1352 c. M: 78.6667 c. 10: 2 2 2 1 2 1 P D3 SD: 30.3619 c. M:-53.9000 c. 13: 3 2 2 2 2 2 SP M ME SD: 34.5846 c. M: 58.2308 c. 14: 3 3 2 2 2 2 P D3 S SD: 17.2521 c. M:-39.4286 c. 15: 3 3 3 2 2 2 P SD: 20.2739 c. M:-36.6000 c. 17: 4 3 3 2 3 2 P SD: 20.6872 c. M:-31.5882 c. 20: 4 4 3 3 3 3 SP D3 S SD: 24.0084 c. M: 40.4500 c. 21: 4 4 4 3 3 3 SP SD: 21.5554 c. M: 37.4762 c. 22: 5 4 4 3 3 3 P SD: 14.0832 c. M:-22.5909 c. 24: 5 5 4 3 4 3 P SD: 13.5909 c. M:-21.0833 c. 28: 6 5 5 4 4 4 SP SD: 8.8954 c. M: 15.6071 c. 38: 8 7 7 5 6 5 SP SD: 7.8771 c. M: 12.7105 c. 42: 9 8 7 6 6 6 SP SD: 6.3072 c. M: 12.1429 c. 43: 9 8 8 6 6 6 SP SD: 7.6035 c. M: 11.7674 c. 45: 10 8 8 6 7 6 SP SD: 6.6794 c. M:-11.4444 c. 47: 10 9 8 7 7 6 SP SD: 6.1258 c. M:-11.2766 c. 50: 11 9 9 7 7 7 SP SD: 5.6449 c. M:-8.0200 c. 52: 11 10 9 7 8 7 SP SD: 4.4527 c. M: 9.5192 c. 74: 16 14 13 10 11 10 SP SD: 3.6411 c. M:-7.4459 c. 75: 16 14 13 11 11 10 SP SD: 3.2974 c. M: 4.6000 c. 89: 19 17 15 13 13 12 SP SD: 2.5384 c. M: 4.9551 c. 97: 21 18 17 14 14 13 SP SD: 2.9018 c. M:-6.0619 c. 102: 22 19 18 14 15 14 SP SD: 2.5094 c. M: 3.5098 c. 111: 24 21 19 16 16 15 SP SD: 2.5968 c. M:-4.6306 c. 121: 26 23 21 17 18 16 SP SD: 2.6864 c. M:-4.2314 c. 125: 27 23 22 18 18 17 SP SD: 2.5699 c. M: 4.6000 c. 127: 27 24 22 18 19 17 SP SD: 2.1383 c. M: 3.3858 c. 134: 29 25 23 19 20 18 SP SD: 1.7078 c. M: 2.5000 c. 149: 32 28 26 21 22 20 SP SD: 0.8167 c. M:-1.4362 c. 191: 41 36 33 27 28 26 SP SD: 0.8117 c. M: 1.7696 c. 238: 51 45 41 34 35 32 SP SD: 0.8091 c. M:-1.1891 c. 283: 61 53 49 40 42 38 SP SD: 0.7231 c. M:-1.1590 c. 312: 67 59 54 44 46 42 SP SD: 0.7400 c. M:-1.3269 c. 340: 73 64 59 48 50 46 SP SD: 0.2548 c. M: 0.4882 c. 578: 124 109 100 82 85 78 SP SD: 0.2661 c. M:-0.4273 c. 623: 134 117 108 88 92 84 SP SD: 0.2551 c. M:-0.4510 c. 769: 165 145 133 109 113 104 SP SD: 0.2686 c. M: 0.4057 c. 772: 166 145 134 109 114 104 SP SD: 0.2675 c. M:-0.4041 c. 786: 169 148 136 111 116 106 SP SD: 0.2798 c. M:-0.4975 c. 814: 175 153 141 115 120 110 SP SD: 0.2382 c. M: 0.4177 c. 861: 185 162 149 122 127 116 SP SD: 0.2013 c. M:-0.3856 c. 918: 197 173 159 130 135 124 SP SD: 0.1731 c. M: 0.3061 c. 963: 207 181 167 136 142 130 SP SD: 0.1597 c. M: 0.2565 c. 1052: 226 198 182 149 155 142 SP SD: 0.1364 c. M: 0.3137 c. 1201: 258 226 208 170 177 162 SP SD: 0.0721 c. M:-0.1382 c. 1541: 331 290 267 218 227 208 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 x x S SD: 94.0000 cents 2 x 3 x 4 x 5 S SD: 44.0240 cents 3 x 4:5:6 x 7 S SD: 42.9115 cents 4:5:6:7:8:9:10 H SD: 29.8439 cents 5:6:7:8:9:11:12 SD: 21.5524 cents 6:7:9:10:11:13:15 SD: 21.0632 cents 7:8:10:12:13:15:17 SD: 19.2917 cents 8:10:11:13:15:17:19 SD: 19.1201 cents 9:11:13:15:17:19:22 SD: 7.7174 cents 14:17:20:23:27:30:34 SD: 7.4996 cents 18:22:26:30:34:39:44 SD: 4.1602 cents 19:23:27:32:36:41:46 SD: 3.6400 cents 28:34:40:47:53:60:68 SD: 2.9966 cents 30:36:43:50:57:65:73 SD: 2.9556 cents 37:45:53:62:70:80:90 SD: 1.7406 cents 57:69:82:95:108:123:139 SD: 1.6207 cents 58:70:83:97:110:125:141 SD: 1.3163 cents 67:81:96:112:127:145:163 SD: 0.8922 cents 76:92:109:127:144:164:185 SD: 0.6416 cents 142:172:203:237:269:307:346 SD: 0.5634 cents 151:183:216:252:286:326:368 SD: 0.4782 cents 176:213:252:294:333:380:429 SD: 0.4534 cents 181:219:259:302:343:391:441 SD: 0.3987 cents 200:242:286:334:379:432:487 SD: 0.3629 cents 209:253:299:349:396:451:509 SD: 0.3112 cents 218:264:312:364:413:471:531 SD: 0.1746 cents 294:356:421:491:557:635:716 SD: 0.1207 cents 494:598:707:825:936:1067:1203 SD: 0.1071 cents 570:690:816:952:1080:1231:1388 SD: 0.0892 cents