Scala analysis: Peru_Panpipes_31
31 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 308.000 cents 308.000000 2: 721.000 cents 721.000000 3: 1024.000 cents 1024.000000 4: 1261.000 cents 1261.000000 5: 1443.000 cents 1443.000000 6: 1640.000 cents 1640.000000
SHOW/INTERVAL
0: 197.0000 cents 197.0000 1: 308.0000 cents 308.0000 2: 413.0000 cents 413.0000 3: 303.0000 cents 303.0000 4: 237.0000 cents 237.0000 5: 182.0000 cents 182.0000 6: 197.0000 cents 197.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 182.00000 cents 1: 1 197.00000 cents 1: 1 237.00000 cents 1: 1 303.00000 cents 1: 1 308.00000 cents 1: 1 413.00000 cents 2: 1 379.00000 cents 2: 1 419.00000 cents 2: 1 505.00000 cents 2: 1 540.00000 cents 2: 1 716.00000 cents 2: 1 721.00000 cents 3: 1 616.00000 cents 3: 1 687.00000 cents 3: 1 722.00000 cents 3: 1 918.00000 cents 3: 1 953.00000 cents 3: 1 1024.00000 cents 4: 1 919.00000 cents 4: 1 924.00000 cents 4: 1 1100.00000 cents 4: 1 1135.00000 cents 4: 1 1221.00000 cents 4: 1 1261.00000 cents 5: 1 1227.00000 cents 5: 1 1332.00000 cents 5: 1 1337.00000 cents 5: 1 1403.00000 cents 5: 1 1443.00000 cents 5: 1 1458.00000 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 : 308.0 721.0 1024.0 1261.0 1443.0 1640.0 308.0 : 413.0 716.0 953.0 1135.0 1332.0 1640.0 721.0 : 303.0 540.0 722.0 919.0 1227.0 1640.0 1024.0: 237.0 419.0 616.0 924.0 1337.0 1640.0 1261.0: 182.0 379.0 687.0 1100.0 1403.0 1640.0 1443.0: 197.0 505.0 918.0 1221.0 1458.0 1640.0 1640.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 182.0000 .. 413.0000 cents 231.00000 cents 182.00000 cents 2: 379.0000 .. 721.0000 cents 342.00000 cents -34.00000 cents 3: 616.0000 .. 1024.0000 cents 408.00000 cents -105.00000 cents 4: 919.0000 .. 1261.0000 cents 342.00000 cents -105.00000 cents 5: 1227.0000 .. 1458.0000 cents 231.00000 cents -34.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 182.00000 cents, class 1 Average step (divided formal octave): 273.3333 cents Largest one step interval : 413.00000 cents Average / Smallest step : 1.501832 Largest / Average step : 1.510976 Largest / Smallest step : 2.269231 Median interval of one step : 270.00000 cents, amount: 0 Least squares average step : 295.83516 cents, oct.: 1775.01099 cents Scale is not proper Scale is a mode of a 1640-tone equal temperament with octave 1640.000 cents degrees: 308 721 1024 1261 1443 1640 Least number of segments generator : 821 of 821.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1373 of 1373.000 cents and inv. generated superset size: 396 = 390 more = 6600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : EFDCAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00000 cents Scale diversity : 0.712273 Lumma stability : 0.221951 Lumma impropriety factor : 0.169512 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 : 1.00000 cents Number of recognisable fifths : 2, average 701.5000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 1, average 505.0000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 337.0000 cents: 3 -- Rational properties --
FIT/MODE
6: 1 2 1 1 0 1 N D3 SD: 73.9393 c. M:-105.6667 c. 7: 1 2 1 1 1 1 P M ME SD: 61.5364 c. M: 89.5714 c. 9: 2 2 2 1 1 1 N SD: 37.6067 c. M:-69.3333 c. 10: 2 2 2 2 1 1 P D3 S SD: 40.6510 c. M: 65.0000 c. 11: 2 3 2 1 2 1 N G SD: 36.5979 c. M: 68.2727 c. 14: 3 3 3 2 1 2 N G SD: 29.6728 c. M:-43.4286 c. 16: 3 4 3 2 2 2 N SD: 13.1561 c. M: 31.0000 c. 22: 4 6 4 3 2 3 N SD: 17.4588 c. M: 26.6364 c. 25: 5 6 5 3 3 3 N SD: 14.5426 c. M:-25.6000 c. 26: 5 6 5 4 3 3 N SD: 13.3582 c. M: 27.1538 c. 27: 5 7 5 4 3 3 N SD: 9.8723 c. M:-14.7778 c. 32: 6 8 6 5 3 4 N SD: 9.0145 c. M:-20.2500 c. 39: 7 10 7 6 4 5 N SD: 10.1471 c. M: 14.7692 c. 42: 8 10 8 6 5 5 N SD: 9.6604 c. M: 18.1429 c. 43: 8 11 8 6 5 5 N SD: 4.0900 c. M:-6.3023 c. 48: 9 12 9 7 5 6 N SD: 3.8194 c. M: 8.0000 c. 64: 12 16 12 9 7 8 N SD: 4.2109 c. M: 8.0000 c. 75: 14 19 14 11 8 9 N SD: 3.4309 c. M:-7.2667 c. 82: 15 21 15 12 9 10 N SD: 3.8944 c. M: 8.0000 c. 91: 17 23 17 13 10 11 N SD: 1.5849 c. M:-3.2527 c. 159: 30 40 29 23 18 19 N SD: 1.7936 c. M: 2.8679 c. 160: 30 40 30 23 18 19 N SD: 1.7619 c. M: 3.5000 c. 186: 35 47 34 27 21 22 N SD: 1.5814 c. M:-3.0215 c. 191: 36 48 35 28 21 23 N SD: 1.1475 c. M: 2.2199 c. 207: 39 52 38 30 23 25 N SD: 1.1300 c. M: 1.9710 c. 234: 44 59 43 34 26 28 N SD: 0.6259 c. M:-0.8803 c. 282: 53 71 52 41 31 34 N SD: 0.5448 c. M:-0.9858 c. 298: 56 75 55 43 33 36 N SD: 0.5732 c. M: 1.1208 c. 325: 61 82 60 47 36 39 N SD: 0.3787 c. M:-0.6000 c. 532: 100 134 98 77 59 64 N SD: 0.3181 c. M: 0.5414 c. 575: 108 145 106 83 64 69 N SD: 0.2947 c. M:-0.6000 c. 623: 117 157 115 90 69 75 N SD: 0.2130 c. M: 0.4318 c. 857: 161 216 158 124 95 103 N SD: 0.2115 c. M:-0.4469 c. 926: 174 233 171 134 103 111 N SD: 0.2370 c. M:-0.4125 c. 948: 178 239 175 137 105 114 N SD: 0.2010 c. M:-0.3924 c. 964: 181 243 178 139 107 116 N SD: 0.2571 c. M: 0.3776 c. 974: 183 245 180 141 108 117 N SD: 0.1943 c. M: 0.3429 c. 1017: 191 256 188 147 113 122 N SD: 0.1305 c. M:-0.2645 c. 1108: 208 279 205 160 123 133 N SD: 0.1527 c. M:-0.2599 c. 1267: 238 319 234 183 141 152 N SD: 0.1594 c. M: 0.2581 c. 1299: 244 327 240 188 144 156 N SD: 0.1215 c. M:-0.2471 c. 1315: 247 331 243 190 146 158 N SD: 0.0936 c. M: 0.1483 c. 1406: 264 354 260 203 156 169 N SD: 0.1042 c. M: 0.1465 c. 1549: 291 390 286 224 172 186 N SD: 0.0931 c. M: 0.1911 c. 1640: 308 413 303 237 182 197 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 x 3 S SD: 134.4818 cents 2 x 3 x 4 x 5 S SD: 27.8207 cents 3:4 x 5:6:7:8 S SD: 50.3098 cents 4:5:6:7:8:9:10 H SD: 22.1555 cents 6:7:9:11:12:14:15 SD: 16.5585 cents 9:11:14:16:19:21:23 SD: 13.0574 cents 10:12:15:18:21:23:26 SD: 5.8117 cents 16:19:24:29:33:37:41 SD: 4.5727 cents 21:25:32:38:44:48:54 SD: 4.2772 cents 25:30:38:45:52:58:64 SD: 3.7865 cents 26:31:39:47:54:60:67 SD: 3.4101 cents 27:32:41:49:56:62:70 SD: 3.1721 cents 31:37:47:56:64:71:80 SD: 1.7543 cents 41:49:62:74:85:94:106 SD: 1.6050 cents 52:62:79:94:108:120:134 SD: 1.3436 cents 56:67:85:101:116:129:144 SD: 1.1057 cents 66:79:100:119:137:152:170 SD: 1.0857 cents 72:86:109:130:149:166:186 SD: 0.9691 cents 83:99:126:150:172:191:214 SD: 0.5629 cents 124:148:188:224:257:285:320 SD: 0.5377 cents 139:166:211:251:288:320:358 SD: 0.4933 cents 149:178:226:269:309:343:384 SD: 0.4087 cents 180:215:273:325:373:414:464 SD: 0.2874 cents 242:289:367:437:501:557:624 SD: 0.2810 cents 252:301:382:455:522:580:650 SD: 0.2490 cents 335:400:508:605:694:771:864 SD: 0.2074 cents 389:465:590:703:806:895:1003 SD: 0.2032 cents 420:502:637:759:870:967:1083 SD: 0.1990 cents 441:527:669:797:914:1015:1137 SD: 0.1938 cents 447:534:678:808:926:1029:1153 SD: 0.1908 cents 451:539:684:815:934:1038:1163 SD: 0.1624 cents 461:551:699:833:955:1061:1189 SD: 0.1551 cents 472:564:716:853:978:1086:1217 SD: 0.1485 cents 503:601:763:909:1042:1158:1297 SD: 0.1464 cents 513:613:778:927:1063:1181:1323 SD: 0.1364 cents 534:638:810:965:1106:1229:1377 SD: 0.1190 cents 544:650:825:983:1127:1252:1403 SD: 0.0709 cents