Scala analysis: Peru_Panpipes_32
32 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 398.000 cents 398.000000 2: 721.000 cents 721.000000 3: 1043.000 cents 1043.000000 4: 1246.000 cents 1246.000000 5: 1548.000 cents 1548.000000 6: 1746.000 cents 1746.000000 7: 1905.000 cents 1905.000000 8: 2212.000 cents 2212.000000 9: 2471.000 cents 2471.000000
SHOW/INTERVAL
0: 259.0000 cents 259.0000 1: 398.0000 cents 398.0000 2: 323.0000 cents 323.0000 3: 322.0000 cents 322.0000 4: 203.0000 cents 203.0000 5: 302.0000 cents 302.0000 6: 198.0000 cents 198.0000 7: 159.0000 cents 159.0000 8: 307.0000 cents 307.0000 9: 259.0000 cents 259.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 159.00000 cents 1: 1 198.00000 cents 1: 1 203.00000 cents 1: 1 259.00000 cents 1: 1 302.00000 cents 1: 1 307.00000 cents 1: 1 322.00000 cents 1: 1 323.00000 cents 1: 1 398.00000 cents 2: 1 357.00000 cents 2: 1 466.00000 cents 2: 1 500.00000 cents 2: 1 505.00000 cents 2: 1 525.00000 cents 2: 1 566.00000 cents 2: 1 645.00000 cents 2: 1 657.00000 cents 2: 1 721.00000 cents 3: 1 659.00000 cents 3: 1 664.00000 cents 3: 1 703.00000 cents 3: 1 725.00000 cents 3: 1 827.00000 cents 3: 1 848.00000 cents 3: 1 964.00000 cents 3: 1 980.00000 cents 3: 1 1043.00000 cents 4: 1 862.00000 cents 4: 1 923.00000 cents 4: 1 966.00000 cents 4: 1 1025.00000 cents 4: 1 1123.00000 cents 4: 1 1150.00000 cents 4: 1 1246.00000 cents 4: 1 1287.00000 cents 4: 1 1302.00000 cents 5: 1 1169.00000 cents 5: 1 1184.00000 cents 5: 1 1225.00000 cents 5: 1 1321.00000 cents 5: 1 1348.00000 cents 5: 1 1446.00000 cents 5: 1 1505.00000 cents 5: 1 1548.00000 cents 5: 1 1609.00000 cents 6: 1 1428.00000 cents 6: 1 1491.00000 cents 6: 1 1507.00000 cents 6: 1 1623.00000 cents 6: 1 1644.00000 cents 6: 1 1746.00000 cents 6: 1 1768.00000 cents 6: 1 1807.00000 cents 6: 1 1812.00000 cents 7: 1 1750.00000 cents 7: 1 1814.00000 cents 7: 1 1826.00000 cents 7: 1 1905.00000 cents 7: 1 1946.00000 cents 7: 1 1966.00000 cents 7: 1 1971.00000 cents 7: 1 2005.00000 cents 7: 1 2114.00000 cents 8: 1 2073.00000 cents 8: 1 2148.00000 cents 8: 1 2149.00000 cents 8: 1 2164.00000 cents 8: 1 2169.00000 cents 8: 1 2212.00000 cents 8: 1 2268.00000 cents 8: 1 2273.00000 cents 8: 1 2312.00000 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 : 398.0 721.0 1043.0 1246.0 1548.0 1746.0 1905.0 2212.0 2471.0 398.0 : 323.0 645.0 848.0 1150.0 1348.0 1507.0 1814.0 2073.0 2471.0 721.0 : 322.0 525.0 827.0 1025.0 1184.0 1491.0 1750.0 2148.0 2471.0 1043.0: 203.0 505.0 703.0 862.0 1169.0 1428.0 1826.0 2149.0 2471.0 1246.0: 302.0 500.0 659.0 966.0 1225.0 1623.0 1946.0 2268.0 2471.0 1548.0: 198.0 357.0 664.0 923.0 1321.0 1644.0 1966.0 2169.0 2471.0 1746.0: 159.0 466.0 725.0 1123.0 1446.0 1768.0 1971.0 2273.0 2471.0 1905.0: 307.0 566.0 964.0 1287.0 1609.0 1812.0 2114.0 2312.0 2471.0 2212.0: 259.0 657.0 980.0 1302.0 1505.0 1807.0 2005.0 2164.0 2471.0 2471.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 159.0000 .. 398.0000 cents 239.00000 cents 159.00000 cents 2: 357.0000 .. 721.0000 cents 364.00000 cents -41.00000 cents 3: 659.0000 .. 1043.0000 cents 384.00000 cents -62.00000 cents 4: 862.0000 .. 1302.0000 cents 440.00000 cents -181.00000 cents 5: 1169.0000 .. 1609.0000 cents 440.00000 cents -133.00000 cents 6: 1428.0000 .. 1812.0000 cents 384.00000 cents -181.00000 cents 7: 1750.0000 .. 2114.0000 cents 364.00000 cents -62.00000 cents 8: 2073.0000 .. 2312.0000 cents 239.00000 cents -41.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 159.00000 cents, class 1 Average step (divided formal octave): 274.5556 cents Largest one step interval : 398.00000 cents Average / Smallest step : 1.726765 Largest / Average step : 1.449616 Largest / Smallest step : 2.503145 Median interval of one step : 302.00000 cents, amount: 1 Least squares average step : 285.75088 cents, oct.: 2571.75789 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : IHGCEBAFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity :-0.113855 Lumma stability : 0.128693 Lumma impropriety factor : 0.283691 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 : 1, average 703.0000 cents Number of recognisable fourths : 2, average 502.5000 cents Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 0 2 1 N T3 SD: 156.9861 c. M: 257.6667 c. 10: 2 1 1 1 1 1 1 1 1 P M ME S SD: 50.1084 c. M:-96.2000 c. 13: 2 2 1 2 1 1 1 2 1 N D3 S SD: 52.0179 c. M: 92.6154 c. 14: 2 2 2 1 2 1 1 2 1 N D3 S SD: 37.6475 c. M:-82.5000 c. 16: 3 2 2 1 2 1 1 2 2 N SD: 41.9659 c. M:-65.3125 c. 17: 3 2 2 2 2 1 1 2 2 N SD: 33.0560 c. M:-62.1765 c. 18: 3 2 3 1 2 2 1 2 2 N SD: 29.8270 c. M:-55.2222 c. 21: 3 3 3 2 2 2 1 3 2 N SD: 27.0763 c. M:-48.3333 c. 24: 4 3 3 2 3 2 1 3 3 N SD: 25.1194 c. M: 51.7500 c. 26: 4 3 4 2 3 2 2 3 3 N SD: 26.3249 c. M: 55.7308 c. 27: 4 4 3 3 3 2 2 3 3 N SD: 21.9686 c. M: 36.2963 c. 30: 5 4 4 2 4 2 2 4 3 N SD: 15.9566 c. M:-27.7667 c. 35: 6 4 5 3 4 3 2 4 4 N SD: 17.2834 c. M:-25.6000 c. 37: 6 5 5 3 4 3 3 4 4 N SD: 17.2501 c. M:-31.7297 c. 38: 6 5 5 3 5 3 2 5 4 N SD: 9.6387 c. M: 19.2368 c. 45: 7 6 6 4 5 4 3 5 5 N SD: 11.9537 c. M:-16.9556 c. 48: 8 6 6 4 6 4 3 6 5 N SD: 7.5712 c. M:-13.8333 c. 69: 11 9 9 6 8 6 4 9 7 N SD: 6.4516 c. M:-8.7681 c. 75: 12 10 10 6 9 6 5 9 8 N SD: 5.1738 c. M:-11.2933 c. 93: 15 12 12 8 11 8 6 11 10 N SD: 5.6036 c. M:-8.0323 c. 99: 16 13 13 8 12 8 6 13 10 N SD: 4.6794 c. M:-9.4040 c. 105: 17 14 13 9 13 8 7 13 11 N SD: 4.5276 c. M:-8.5333 c. 113: 18 15 15 9 14 9 7 14 12 N SD: 3.5627 c. M:-6.6283 c. 123: 20 16 16 10 15 10 8 15 13 N SD: 2.1990 c. M:-3.7886 c. 161: 26 21 21 13 20 13 10 20 17 N SD: 1.9623 c. M:-3.6522 c. 222: 36 29 29 18 27 18 14 28 23 N SD: 2.0919 c. M:-3.2793 c. 236: 38 31 31 19 29 19 15 29 25 N SD: 1.9847 c. M:-4.0339 c. 249: 40 33 32 21 30 20 16 31 26 N SD: 1.9594 c. M:-4.3855 c. 268: 43 35 35 22 33 21 18 33 28 N SD: 1.9584 c. M:-3.5709 c. 284: 46 37 37 23 35 23 18 35 30 N SD: 1.6204 c. M:-2.8415 c. 287: 46 38 37 24 35 23 18 36 30 N SD: 1.7588 c. M:-2.4146 c. 292: 47 38 38 24 36 23 19 36 31 N SD: 1.8773 c. M: 3.3322 c. 297: 48 39 38 25 36 24 19 37 31 N SD: 1.6904 c. M: 3.0168 c. 305: 49 40 40 25 37 25 19 38 32 N SD: 1.6838 c. M:-3.9541 c. 323: 52 42 42 27 39 26 21 40 34 N SD: 1.5869 c. M: 2.6687 c. 353: 57 46 46 29 43 28 23 44 37 N SD: 1.1547 c. M: 3.0000 c. 381: 61 50 50 31 47 30 25 47 40 N SD: 1.4235 c. M: 2.3806 c. 391: 63 51 51 32 48 31 25 49 41 N SD: 1.1714 c. M: 2.7724 c. 393: 63 52 51 32 48 32 25 49 41 N SD: 1.3469 c. M:-2.0662 c. 398: 64 52 52 33 48 32 26 49 42 N SD: 1.2975 c. M: 2.0729 c. 402: 65 52 53 33 49 32 26 50 42 N SD: 1.2803 c. M:-1.9502 c. 410: 66 54 53 34 50 33 26 51 43 N SD: 1.1445 c. M:-2.2195 c. 429: 69 56 56 35 53 34 28 53 45 N SD: 1.0515 c. M: 1.8601 c. 436: 70 57 57 36 53 35 28 54 46 N SD: 0.9522 c. M: 1.7018 c. 466: 75 61 61 38 57 37 30 58 49 N SD: 0.9141 c. M:-1.6073 c. 484: 78 63 63 40 59 39 31 60 51 N SD: 0.8959 c. M: 1.5041 c. 498: 80 65 65 41 61 40 32 62 52 N SD: 0.8324 c. M: 1.5321 c. 514: 83 67 67 42 63 41 33 64 54 N SD: 0.7213 c. M: 1.2724 c. 559: 90 73 73 46 68 45 36 69 59 N SD: 0.7178 c. M: 1.8032 c. 573: 92 75 75 47 70 46 37 71 60 N SD: 0.6856 c. M: 1.2600 c. 621: 100 81 81 51 76 50 40 77 65 N SD: 0.5700 c. M:-0.9726 c. 651: 105 85 85 53 80 52 42 81 68 N SD: 0.6174 c. M: 1.0108 c. 658: 106 86 86 54 80 53 42 82 69 N SD: 0.6124 c. M: 1.0532 c. 706: 114 92 92 58 86 57 45 88 74 N SD: 0.6009 c. M:-1.0000 c. 763: 123 100 99 63 93 61 49 95 80 N SD: 0.5790 c. M:-1.1927 c. 795: 128 104 104 65 97 64 51 99 83 N SD: 0.6481 c. M:-1.3472 c. 801: 129 105 104 66 98 64 52 99 84 N SD: 0.6216 c. M:-1.4644 c. 819: 132 107 107 67 100 66 52 102 86 N SD: 0.6205 c. M: 1.2137 c. 839: 135 110 109 69 103 67 54 104 88 N SD: 0.5355 c. M:-1.1609 c. 843: 136 110 110 69 103 68 54 105 88 N SD: 0.5791 c. M:-1.0546 c. 851: 137 111 111 70 104 68 55 106 89 N SD: 0.5418 c. M: 0.9107 c. 870: 140 114 113 72 106 70 56 108 91 N SD: 0.5708 c. M:-0.8609 c. 900: 145 118 117 74 110 72 58 112 94 N SD: 0.5575 c. M:-1.0811 c. 924: 149 121 120 76 113 74 59 115 97 N SD: 0.5394 c. M:-1.0455 c. 926: 149 121 121 76 113 74 60 115 97 N SD: 0.4025 c. M: 0.8229 c. 964: 155 126 126 79 118 77 62 120 101 N SD: 0.4193 c. M: 0.7189 c. 974: 157 127 127 80 119 78 63 121 102 N SD: 0.3675 c. M: 0.5708 c. 1012: 163 132 132 83 124 81 65 126 106 N SD: 0.4047 c. M: 0.7332 c. 1049: 169 137 137 86 128 84 68 130 110 N SD: 0.3643 c. M:-0.6616 c. 1087: 175 142 142 89 133 87 70 135 114 N SD: 0.2309 c. M:-0.4121 c. 1384: 223 181 180 114 169 111 89 172 145 N SD: 0.1814 c. M: 0.3237 c. 2184: 352 285 285 179 267 175 141 271 229 N SD: 0.2311 c. M: 0.3173 c. 2187: 352 286 285 180 267 175 141 272 229 N SD: 0.2104 c. M: 0.3690 c. 2235: 360 292 291 184 273 179 144 278 234 N SD: 0.2096 c. M: 0.4260 c. 2249: 362 294 293 185 275 180 145 279 236 N SD: 0.2065 c. M: 0.3237 c. 2279: 367 298 297 187 279 182 147 283 239 N SD: 0.1801 c. M: 0.3616 c. 2310: 372 302 301 190 282 185 149 287 242 N SD: 0.1368 c. M: 0.2545 c. 2348: 378 307 306 193 287 188 151 292 246 N SD: 0.1152 c. M: 0.1985 c.
FIT/HARMONIC
1 x x x 2 x x 3 x 4 S SD: 28.2179 cents 2 x 3 x 4:5 x 6:7:8 S SD: 17.3693 cents 3:4 x x 6:7:8:9:11:13 SD: 23.4642 cents 4:5:6:7:8:10:11:12:14:17 SD: 12.4917 cents 7:9:11:13:14:17:19:21:25:29 SD: 10.3747 cents 8:10:12:15:16:20:22:24:29:33 SD: 9.1579 cents 11:14:17:20:23:27:30:33:39:46 SD: 6.1581 cents 12:15:18:22:25:29:33:36:43:50 SD: 4.4546 cents 16:20:24:29:33:39:44:48:57:67 SD: 3.5597 cents 19:24:29:35:39:46:52:57:68:79 SD: 3.0038 cents 23:29:35:42:47:56:63:69:83:96 SD: 1.8995 cents 31:39:47:57:64:76:85:93:111:129 SD: 1.7969 cents 35:44:53:64:72:86:96:105:126:146 SD: 1.2937 cents 54:68:82:99:111:132:148:162:194:225 SD: 0.8797 cents 58:73:88:106:119:142:159:174:208:242 SD: 0.5420 cents 97:122:147:177:199:237:266:292:348:404 SD: 0.5135 cents 112:141:170:205:230:274:307:337:402:467 SD: 0.5132 cents 116:146:176:212:238:284:318:349:416:483 SD: 0.4486 cents 128:161:194:234:263:313:351:385:459:533 SD: 0.3557 cents 143:180:217:261:294:350:392:430:513:596 SD: 0.3507 cents 151:190:229:276:310:369:414:454:542:629 SD: 0.2390 cents 186:234:282:340:382:455:510:559:667:775 SD: 0.2262 cents 209:263:317:382:429:511:573:628:750:871 SD: 0.1728 cents 294:370:446:537:604:719:806:884:1055:1225 SD: 0.1307 cents 333:419:505:608:684:814:913:1001:1195:1388 SD: 0.1268 cents 352:443:534:643:723:861:965:1058:1263:1467 SD: 0.0897 cents 391:492:593:714:803:956:1072:1175:1403:1629 SD: 0.0872 cents 449:565:681:820:922:1098:1231:1349:1611:1871 SD: 0.0833 cents 503:633:763:919:1033:1230:1379:1512:1805:2096 SD: 0.0789 cents 519:653:787:948:1066:1269:1423:1560:1862:2163 SD: 0.0755 cents 542:682:822:990:1113:1325:1486:1629:1945:2259 SD: 0.0709 cents