Scala analysis: Peru_Panpipes_34
34 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 388.000 cents 388.000000 2: 767.000 cents 767.000000 3: 1136.000 cents 1136.000000 4: 1358.000 cents 1358.000000 5: 1664.000 cents 1664.000000 6: 1899.000 cents 1899.000000 7: 2077.000 cents 2077.000000 8: 2378.000 cents 2378.000000 9: 2582.000 cents 2582.000000
SHOW/INTERVAL
0: 204.0000 cents 204.0000 1: 388.0000 cents 388.0000 2: 379.0000 cents 379.0000 3: 369.0000 cents 369.0000 4: 222.0000 cents 222.0000 5: 306.0000 cents 306.0000 6: 235.0000 cents 235.0000 7: 178.0000 cents 178.0000 8: 301.0000 cents 301.0000 9: 204.0000 cents 204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 178.00000 cents 1: 1 204.00000 cents 1: 1 222.00000 cents 1: 1 235.00000 cents 1: 1 301.00000 cents 1: 1 306.00000 cents 1: 1 369.00000 cents 1: 1 379.00000 cents 1: 1 388.00000 cents 2: 1 413.00000 cents 2: 1 479.00000 cents 2: 1 505.00000 cents 2: 1 528.00000 cents 2: 1 541.00000 cents 2: 1 591.00000 cents 2: 1 592.00000 cents 2: 1 748.00000 cents 2: 1 767.00000 cents 3: 1 683.00000 cents 3: 1 714.00000 cents 3: 1 719.00000 cents 3: 1 763.00000 cents 3: 1 893.00000 cents 3: 1 897.00000 cents 3: 1 970.00000 cents 3: 1 971.00000 cents 3: 1 1136.00000 cents 4: 1 918.00000 cents 4: 1 941.00000 cents 4: 1 1020.00000 cents 4: 1 1071.00000 cents 4: 1 1132.00000 cents 4: 1 1272.00000 cents 4: 1 1276.00000 cents 4: 1 1340.00000 cents 4: 1 1358.00000 cents 5: 1 1224.00000 cents 5: 1 1242.00000 cents 5: 1 1306.00000 cents 5: 1 1310.00000 cents 5: 1 1450.00000 cents 5: 1 1511.00000 cents 5: 1 1562.00000 cents 5: 1 1641.00000 cents 5: 1 1664.00000 cents 6: 1 1446.00000 cents 6: 1 1611.00000 cents 6: 1 1612.00000 cents 6: 1 1685.00000 cents 6: 1 1689.00000 cents 6: 1 1819.00000 cents 6: 1 1863.00000 cents 6: 1 1868.00000 cents 6: 1 1899.00000 cents 7: 1 1815.00000 cents 7: 1 1834.00000 cents 7: 1 1990.00000 cents 7: 1 1991.00000 cents 7: 1 2041.00000 cents 7: 1 2054.00000 cents 7: 1 2077.00000 cents 7: 1 2103.00000 cents 7: 1 2169.00000 cents 8: 1 2194.00000 cents 8: 1 2203.00000 cents 8: 1 2213.00000 cents 8: 1 2276.00000 cents 8: 1 2281.00000 cents 8: 1 2347.00000 cents 8: 1 2360.00000 cents 8: 1 2378.00000 cents 8: 1 2404.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 388.0 767.0 1136.0 1358.0 1664.0 1899.0 2077.0 2378.0 2582.0 388.0 : 379.0 748.0 970.0 1276.0 1511.0 1689.0 1990.0 2194.0 2582.0 767.0 : 369.0 591.0 897.0 1132.0 1310.0 1611.0 1815.0 2203.0 2582.0 1136.0: 222.0 528.0 763.0 941.0 1242.0 1446.0 1834.0 2213.0 2582.0 1358.0: 306.0 541.0 719.0 1020.0 1224.0 1612.0 1991.0 2360.0 2582.0 1664.0: 235.0 413.0 714.0 918.0 1306.0 1685.0 2054.0 2276.0 2582.0 1899.0: 178.0 479.0 683.0 1071.0 1450.0 1819.0 2041.0 2347.0 2582.0 2077.0: 301.0 505.0 893.0 1272.0 1641.0 1863.0 2169.0 2404.0 2582.0 2378.0: 204.0 592.0 971.0 1340.0 1562.0 1868.0 2103.0 2281.0 2582.0 2582.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 178.0000 .. 388.0000 cents 210.00000 cents 178.00000 cents 2: 413.0000 .. 767.0000 cents 354.00000 cents 25.00000 cents 3: 683.0000 .. 1136.0000 cents 453.00000 cents -84.00000 cents 4: 918.0000 .. 1358.0000 cents 440.00000 cents -218.00000 cents 5: 1224.0000 .. 1664.0000 cents 440.00000 cents -134.00000 cents 6: 1446.0000 .. 1899.0000 cents 453.00000 cents -218.00000 cents 7: 1815.0000 .. 2169.0000 cents 354.00000 cents -84.00000 cents 8: 2194.0000 .. 2404.0000 cents 210.00000 cents 25.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 178.00000 cents, class 1 Average step (divided formal octave): 286.8889 cents Largest one step interval : 388.00000 cents Average / Smallest step : 1.611735 Largest / Average step : 1.352440 Largest / Smallest step : 2.179775 Median interval of one step : 301.00000 cents, amount: 1 Least squares average step : 306.23509 cents, oct.: 2756.11579 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : IHGCFDAEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity :-0.188783 Lumma stability : 0.157242 Lumma impropriety factor : 0.285825 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 2, average 716.5000 cents Number of appreciable fifths : 1, average 714.0000 cents Number of recognisable fourths : 1, average 505.0000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
9: 1 2 1 1 1 1 0 1 1 N T3 SD: 75.8593 c. M:-109.2222 c. 10: 1 2 1 1 1 1 1 1 1 P M ME S SD: 79.3601 c. M: 129.8000 c. 11: 2 1 2 1 1 1 1 1 1 N D3 S SD: 44.2562 c. M:-81.4545 c. 14: 2 2 2 1 2 1 1 2 1 N D3 S SD: 36.9752 c. M: 67.0000 c. 20: 3 3 3 2 2 2 1 2 2 N SD: 32.0829 c. M:-62.1000 c. 21: 3 3 3 2 2 2 2 2 2 N S SD: 35.5124 c. M: 65.6190 c. 23: 3 4 3 2 3 2 2 2 2 N SD: 28.5052 c. M:-55.9565 c. 25: 4 3 4 2 3 2 2 3 2 N S SD: 22.7852 c. M: 44.0400 c. 26: 4 4 3 3 3 2 2 3 2 N SD: 22.6590 c. M: 43.6154 c. 27: 4 4 4 2 3 3 2 3 2 N SD: 18.4698 c. M: 38.2963 c. 29: 4 5 4 2 4 2 2 4 2 N S SD: 26.4685 c. M:-34.3103 c. 30: 5 4 4 3 3 3 2 4 2 N SD: 22.3821 c. M:-42.3333 c. 31: 5 4 5 2 4 3 2 4 2 N SD: 22.0298 c. M:-37.4194 c. 34: 5 5 5 3 4 3 2 4 3 N SD: 13.0628 c. M: 26.5882 c. 45: 7 6 7 4 5 4 3 5 4 N SD: 14.6795 c. M: 25.5111 c. 46: 7 7 6 4 6 4 3 5 4 N SD: 13.2613 c. M: 20.5217 c. 48: 7 7 7 4 6 4 3 6 4 N SD: 15.0046 c. M: 32.9167 c. 50: 8 7 7 4 6 5 3 6 4 N SD: 12.1580 c. M:-25.1200 c. 53: 8 8 7 5 6 5 4 6 4 N SD: 9.9797 c. M:-17.8302 c. 57: 9 8 8 5 7 5 4 7 4 N SD: 11.2197 c. M:-22.8070 c. 61: 9 9 9 5 7 6 4 7 5 N SD: 6.7463 c. M: 13.2131 c. 78: 12 11 11 7 9 7 6 9 6 N SD: 7.8542 c. M: 12.1538 c. 84: 13 12 12 7 10 8 6 9 7 N SD: 7.6765 c. M:-13.1905 c. 87: 13 13 12 8 10 8 6 10 7 N SD: 4.2720 c. M: 8.2299 c. 118: 18 17 17 10 14 11 8 14 9 N SD: 3.6020 c. M:-7.0678 c. 147: 22 22 21 12 18 13 10 17 12 N SD: 4.5983 c. M: 6.7755 c. 148: 22 22 21 13 17 14 10 17 12 N SD: 3.4972 c. M: 6.6351 c. 152: 23 22 22 13 18 14 10 18 12 N SD: 2.4393 c. M: 4.6053 c. 154: 23 23 22 13 18 14 11 18 12 N SD: 3.1466 c. M: 4.4156 c. 175: 26 26 25 15 21 16 12 20 14 N SD: 2.7175 c. M: 4.3886 c. 188: 28 28 27 16 22 17 13 22 15 N SD: 2.7285 c. M:-3.9255 c. 200: 30 29 29 17 24 18 14 23 16 N SD: 2.2846 c. M: 5.3100 c. 205: 31 30 29 18 24 19 14 24 16 N SD: 2.0183 c. M:-2.8634 c. 239: 36 35 34 21 28 22 16 28 19 N SD: 1.7930 c. M:-3.2218 c. 245: 37 36 35 21 29 22 17 29 19 N SD: 2.0131 c. M:-3.7633 c. 253: 38 37 36 22 30 23 17 30 20 N SD: 2.1560 c. M: 5.2767 c. 266: 40 39 38 23 31 25 18 31 21 N SD: 1.8493 c. M: 4.1429 c. 280: 42 41 40 24 33 26 19 33 22 N SD: 1.9943 c. M: 4.1429 c. 287: 43 42 41 25 34 26 20 33 23 N SD: 1.6121 c. M: 2.9199 c. 306: 46 45 44 26 36 28 21 36 24 N SD: 1.4056 c. M:-3.1176 c. 341: 51 50 49 29 41 31 23 40 27 N SD: 1.7186 c. M: 2.6393 c. 344: 52 50 49 30 41 31 24 40 27 N SD: 1.6986 c. M: 2.6221 c. 352: 53 52 50 30 42 32 24 41 28 N SD: 1.4060 c. M:-3.1989 c. 354: 53 52 51 30 42 32 25 41 28 N SD: 1.4711 c. M: 2.6158 c. 377: 57 55 54 32 45 34 26 44 30 N SD: 1.4633 c. M:-2.3820 c. 393: 59 58 56 34 46 36 27 46 31 N SD: 1.1300 c. M:-1.9847 c. 405: 61 59 58 35 48 37 28 47 32 N SD: 0.9786 c. M: 1.9630 c. 420: 63 62 60 36 50 38 29 49 33 N SD: 1.1143 c. M:-2.0048 c. 428: 64 63 61 37 51 39 29 50 34 N SD: 1.3009 c. M: 1.9065 c. 430: 65 63 61 37 51 39 30 50 34 N SD: 1.2132 c. M:-2.3023 c. 434: 65 64 62 37 52 39 30 51 34 N SD: 1.1784 c. M:-1.8065 c. 439: 66 64 63 38 52 40 30 51 35 N SD: 1.1456 c. M: 2.3986 c. 441: 66 65 63 38 52 40 31 51 35 N SD: 1.1167 c. M: 2.0204 c. 445: 67 65 64 38 53 40 31 52 35 N SD: 0.9780 c. M: 1.6652 c. 481: 72 71 69 41 57 44 33 56 38 N SD: 0.9712 c. M:-2.0125 c. 506: 76 74 73 43 60 46 35 59 40 N SD: 0.9158 c. M:-1.9170 c. 521: 78 77 74 45 62 47 36 61 41 N SD: 0.9281 c. M: 1.4434 c. 532: 80 78 76 46 63 48 37 62 42 N SD: 0.6187 c. M: 1.3271 c. 593: 89 87 85 51 70 54 41 69 47 N SD: 0.5173 c. M: 0.7218 c. 798: 120 117 114 69 94 73 55 93 63 N SD: 0.4816 c. M:-0.9474 c. 911: 137 134 130 78 108 83 63 106 72 N SD: 0.4766 c. M:-1.0812 c. 987: 148 145 141 85 117 90 68 115 78 N SD: 0.4180 c. M: 0.8308 c. 1078: 162 158 154 93 128 98 74 126 85 N SD: 0.4275 c. M: 0.6865 c. 1111: 167 163 159 95 132 101 77 129 88 N SD: 0.4232 c. M: 0.7651 c. 1131: 170 166 162 97 134 103 78 132 89 N SD: 0.4795 c. M:-0.9019 c. 1139: 171 167 163 98 135 104 78 133 90 N SD: 0.4168 c. M: 0.7875 c. 1150: 173 169 164 99 136 105 79 134 91 N SD: 0.4056 c. M:-0.8643 c. 1164: 175 171 166 100 138 106 80 136 92 N SD: 0.3800 c. M: 0.7526 c. 1198: 180 176 171 103 142 109 83 139 95 N SD: 0.3683 c. M: 0.7496 c. 1218: 183 179 174 105 144 111 84 142 96 N SD: 0.4157 c. M:-0.8358 c. 1232: 185 181 176 106 146 112 85 144 97 N SD: 0.2701 c. M:-0.7094 c. 1243: 187 182 178 107 147 113 86 145 98 N SD: 0.3643 c. M:-0.5101 c. 1266: 190 186 181 109 150 115 87 148 100 N SD: 0.3495 c. M: 0.7946 c. 1289: 194 189 184 111 153 117 89 150 102 N SD: 0.3253 c. M:-0.6020 c. 1293: 194 190 185 111 153 118 89 151 102 N SD: 0.3243 c. M: 0.6002 c. 1339: 201 197 191 115 159 122 92 156 106 N SD: 0.3381 c. M: 0.4735 c. 1350: 203 198 193 116 160 123 93 157 107 N SD: 0.2465 c. M: 0.6474 c. 1595: 240 234 228 137 189 145 110 186 126 N SD: 0.2587 c. M:-0.5141 c. 1743: 262 256 249 150 206 159 120 203 138 N SD: 0.2858 c. M: 0.4395 c. 1744: 262 256 249 150 207 159 120 203 138 N SD: 0.2851 c. M:-0.4874 c. 1757: 264 258 251 151 208 160 121 205 139 N SD: 0.2821 c. M: 0.5253 c. 1770: 266 260 253 152 210 161 122 206 140 N SD: 0.2695 c. M:-0.4418 c. 1784: 268 262 255 153 212 162 123 208 141 N SD: 0.2154 c. M: 0.4238 c. 1795: 270 263 257 154 213 163 124 209 142 N SD: 0.2603 c. M:-0.3788 c. 1825: 274 268 261 157 216 166 126 213 144 N SD: 0.2211 c. M: 0.3463 c. 1871: 281 275 267 161 222 170 129 218 148 N SD: 0.1997 c. M:-0.2929 c. 1989: 299 292 284 171 236 181 137 232 157 N SD: 0.1542 c. M:-0.2152 c.
FIT/HARMONIC
1 x x 2 x x 3 x 4 x S SD: 22.5801 cents 2 x 3:4 x 5:6:7:8:9 S SD: 22.0235 cents 4:5:6:8:9:10:12:13:16:18 SD: 15.2249 cents 5:6:8:10:11:13:15:17:20:22 SD: 13.2273 cents 7:9:11:14:15:18:21:23:28:31 SD: 10.9488 cents 9:11:14:17:20:24:27:30:36:40 SD: 7.9935 cents 11:14:17:21:24:29:33:37:43:49 SD: 5.5052 cents 12:15:19:23:26:31:36:40:47:53 SD: 5.1015 cents 15:19:23:29:33:39:45:50:59:67 SD: 4.3716 cents 16:20:25:31:35:42:48:53:63:71 SD: 1.6640 cents 36:45:56:69:79:94:108:119:142:160 SD: 1.4832 cents 41:51:64:79:90:107:123:136:162:182 SD: 1.3752 cents 43:54:67:83:94:112:129:143:170:191 SD: 1.2737 cents 52:65:81:100:114:136:156:173:205:231 SD: 0.8185 cents 68:85:106:131:149:178:204:226:269:302 SD: 0.6295 cents 84:105:131:162:184:220:252:279:332:373 SD: 0.6158 cents 95:119:148:183:208:248:285:315:375:422 SD: 0.5832 cents 99:124:154:191:217:259:296:329:391:440 SD: 0.5517 cents 111:139:173:214:243:290:332:368:438:493 SD: 0.5008 cents 115:144:179:222:252:301:344:382:454:511 SD: 0.4944 cents 120:150:187:231:263:314:359:398:474:533 SD: 0.4457 cents 124:155:193:239:272:324:371:412:490:551 SD: 0.4455 cents 135:169:210:260:296:353:404:448:533:600 SD: 0.3626 cents 140:175:218:270:307:366:419:465:553:622 SD: 0.3301 cents 151:189:235:291:331:395:452:501:596:671 SD: 0.2622 cents 163:204:254:314:357:426:488:541:644:724 SD: 0.2318 cents 179:224:279:345:392:468:536:594:707:795 SD: 0.2137 cents 219:274:341:422:480:573:656:727:865:973 SD: 0.1607 cents 314:393:489:605:688:821:940:1042:1240:1395 SD: 0.1327 cents 330:413:514:636:723:863:988:1095:1303:1466 SD: 0.1233 cents 382:478:595:736:837:999:1144:1268:1509:1697 SD: 0.1009 cents 398:498:620:767:872:1041:1192:1321:1572:1768 SD: 0.0985 cents 402:503:626:775:881:1051:1204:1334:1588:1786 SD: 0.0942 cents 454:568:707:875:995:1187:1360:1507:1793:2017 SD: 0.0786 cents 581:727:905:1120:1273:1519:1740:1928:2295:2582 SD: 0.0772 cents