Scala analysis: Bolivia_Panpipe_01
Panpipe 1 (Panpipe), Bolivia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 326.000 cents 326.000000 2: 742.000 cents 742.000000 3: 1046.000 cents 1046.000000 4: 1382.000 cents 1382.000000 5: 1739.000 cents 1739.000000 6: 2108.000 cents 2108.000000 7: 2394.000 cents 2394.000000
SHOW/INTERVAL
0: 286.0000 cents 286.0000 1: 326.0000 cents 326.0000 2: 416.0000 cents 416.0000 3: 304.0000 cents 304.0000 4: 336.0000 cents 336.0000 5: 357.0000 cents 357.0000 6: 369.0000 cents 369.0000 7: 286.0000 cents 286.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 286.00000 cents 1: 1 304.00000 cents 1: 1 326.00000 cents 1: 1 336.00000 cents 1: 1 357.00000 cents 1: 1 369.00000 cents 1: 1 416.00000 cents 2: 1 612.00000 cents 2: 1 640.00000 cents 2: 1 655.00000 cents 2: 1 693.00000 cents 2: 1 720.00000 cents 2: 1 726.00000 cents 2: 1 742.00000 cents 3: 1 981.00000 cents 3: 1 997.00000 cents 3: 1 1012.00000 cents 3: 1 1028.00000 cents 3: 1 1046.00000 cents 3: 1 1056.00000 cents 3: 1 1062.00000 cents 4: 1 1332.00000 cents 4: 1 1338.00000 cents 4: 1 1348.00000 cents 4: 1 1366.00000 cents 4: 1 1382.00000 cents 4: 1 1397.00000 cents 4: 1 1413.00000 cents 5: 1 1652.00000 cents 5: 1 1668.00000 cents 5: 1 1674.00000 cents 5: 1 1701.00000 cents 5: 1 1739.00000 cents 5: 1 1754.00000 cents 5: 1 1782.00000 cents 6: 1 1978.00000 cents 6: 1 2025.00000 cents 6: 1 2037.00000 cents 6: 1 2058.00000 cents 6: 1 2068.00000 cents 6: 1 2090.00000 cents 6: 1 2108.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 326.0 742.0 1046.0 1382.0 1739.0 2108.0 2394.0 326.0 : 416.0 720.0 1056.0 1413.0 1782.0 2068.0 2394.0 742.0 : 304.0 640.0 997.0 1366.0 1652.0 1978.0 2394.0 1046.0: 336.0 693.0 1062.0 1348.0 1674.0 2090.0 2394.0 1382.0: 357.0 726.0 1012.0 1338.0 1754.0 2058.0 2394.0 1739.0: 369.0 655.0 981.0 1397.0 1701.0 2037.0 2394.0 2108.0: 286.0 612.0 1028.0 1332.0 1668.0 2025.0 2394.0 2394.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 286.0000 .. 416.0000 cents 130.00000 cents 286.00000 cents 2: 612.0000 .. 742.0000 cents 130.00000 cents 196.00000 cents 3: 981.0000 .. 1062.0000 cents 81.00000 cents 239.00000 cents 4: 1332.0000 .. 1413.0000 cents 81.00000 cents 270.00000 cents 5: 1652.0000 .. 1782.0000 cents 130.00000 cents 239.00000 cents 6: 1978.0000 .. 2108.0000 cents 130.00000 cents 196.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 286.00000 cents, class 1 Average step (divided formal octave): 342.0000 cents Largest one step interval : 416.00000 cents Average / Smallest step : 1.195804 Largest / Average step : 1.216374 Largest / Smallest step : 1.454545 Median interval of one step : 336.00000 cents, amount: 1 Least squares average step : 346.97857 cents, oct.: 2428.85000 cents Scale is strictly proper Scale is a mode of a 2394-tone equal temperament with octave 2394.000 cents degrees: 326 742 1046 1382 1739 2108 2394 Least number of segments generator : 1199 of 1199.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1571 of 1571.000 cents and inv. generated superset size: 665 = 658 more = 9500.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CGBDEFA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 196.00000 cents Scale diversity :-0.136914 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.715121 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 6.00000 cents Number of recognisable fifths : 2, average 706.5000 cents Number of appreciable fifths : 1, average 693.0000 cents Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 130.0000 cents: 4 Limited inverse transpositions with margin 130.0000 cents: 3 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 34.2115 c. M: 58.0000 c. Lebeng 16: 2 3 2 2 3 2 2 SP M ME S SD: 27.7081 c. M:-56.5000 c. Mavila-7, Antiaeolian 19: 3 3 2 3 3 3 2 SP M ME S SD: 29.6190 c. M:-52.0000 c. Nineteen-tone Major, Ionian 22: 3 4 3 3 3 3 3 SP M ME S SD: 26.3893 c. M:-42.1818 c. Miller's Porcupine-7 Major 23: 3 4 3 3 4 3 3 SP M ME S SD: 20.1651 c. M:-30.4783 c. Mavila-7, Antiaeolian 28: 4 5 3 4 4 5 3 SP T3 SD: 21.7765 c. M:-29.5000 c. 29: 4 5 4 4 4 5 3 SP D3 SD: 19.6893 c. M:-38.3448 c. 30: 4 5 4 4 5 4 4 SP M ME S SD: 19.6745 c. M: 33.2000 c. Mavila-7, Antiaeolian 32: 4 6 4 4 5 5 4 SP D3 S SD: 18.9634 c. M: 35.3750 c. 33: 4 6 4 5 5 5 4 SP T3 SD: 18.9500 c. M: 35.8182 c. 34: 5 6 4 5 5 5 4 SP D3 SD: 20.7070 c. M:-32.5294 c. 35: 5 6 4 5 5 6 4 SP T3 SD: 16.7115 c. M: 29.0000 c. 36: 5 6 5 5 5 6 4 SP D3 SD: 13.0206 c. M:-20.0000 c. 41: 6 7 5 6 6 6 5 SP D3 SD: 14.5463 c. M:-24.3415 c. 43: 6 7 6 6 6 7 5 SP D3 SD: 11.1072 c. M: 18.2326 c. 45: 6 8 6 6 7 7 5 SP SD: 12.2770 c. M:-20.0000 c. 48: 7 8 6 7 7 7 6 SP D3 SD: 11.9754 c. M:-23.1250 c. 50: 7 8 7 7 7 8 6 SP D3 SD: 11.8525 c. M: 23.8000 c. 51: 7 9 6 7 8 8 6 SP SD: 10.1271 c. M: 20.7059 c. 52: 7 9 7 7 8 8 6 SP SD: 7.6953 c. M:-12.8846 c. 59: 8 10 8 8 9 9 7 SP SD: 6.1048 c. M: 11.6271 c. 74: 10 13 9 11 11 11 9 SP SD: 6.5399 c. M: 10.7568 c. 80: 11 14 10 11 12 12 10 SP SD: 6.1641 c. M: 13.2500 c. 83: 11 15 10 12 12 13 10 SP SD: 6.3233 c. M: 8.7229 c. 87: 12 15 11 12 13 14 10 SP SD: 5.3848 c. M:-10.8276 c. 90: 12 16 11 13 13 14 11 SP SD: 6.2455 c. M: 10.0000 c. 94: 13 16 12 13 14 15 11 SP SD: 4.9528 c. M: 7.1702 c. 102: 14 18 13 14 15 16 12 SP SD: 5.6524 c. M:-10.1765 c. 103: 14 18 13 14 16 16 12 SP SD: 5.1471 c. M: 10.6796 c. 109: 15 19 14 15 16 17 13 SP SD: 4.1514 c. M:-8.2385 c. 116: 16 20 15 16 17 18 14 SP SD: 3.7755 c. M:-6.5345 c. 125: 17 22 16 17 19 19 15 SP SD: 3.8599 c. M:-7.3600 c. 132: 18 23 17 18 20 20 16 SP SD: 3.2235 c. M:-5.9091 c. 135: 18 24 17 19 20 21 16 SP SD: 2.9764 c. M: 6.8000 c. 142: 19 25 18 20 21 22 17 SP SD: 2.3799 c. M: 5.6761 c. 149: 20 26 19 21 22 23 18 SP SD: 2.8605 c. M: 4.6577 c. 161: 22 28 20 23 24 25 19 SP SD: 2.4838 c. M: 5.1304 c. 168: 23 29 21 24 25 26 20 SP SD: 2.3433 c. M: 5.7500 c. 178: 24 31 23 25 26 28 21 SP SD: 3.0372 c. M: 4.0225 c. 183: 25 32 23 26 27 28 22 SP SD: 2.4185 c. M:-4.6885 c. 190: 26 33 24 27 28 29 23 SP SD: 2.2373 c. M:-4.0000 c. 220: 30 38 28 31 33 34 26 SP SD: 1.6893 c. M:-3.0727 c. 241: 33 42 30 34 36 37 29 SP SD: 1.9792 c. M:-3.0207 c. 242: 33 42 31 34 36 37 29 SP SD: 1.7295 c. M:-2.9587 c. 249: 34 43 32 35 37 38 30 SP SD: 1.7365 c. M:-2.4819 c. 270: 37 47 34 38 40 42 32 SP SD: 1.6922 c. M:-2.8000 c. 277: 38 48 35 39 41 43 33 SP SD: 1.3191 c. M:-2.4188 c. 286: 39 50 36 40 43 44 34 SP SD: 1.5248 c. M:-2.9860 c. 293: 40 51 37 41 44 45 35 SP SD: 0.9418 c. M:-1.5290 c. 300: 41 52 38 42 45 46 36 SP SD: 0.9240 c. M: 1.4600 c. 419: 57 73 53 59 62 65 50 SP SD: 0.9030 c. M: 2.0644 c. 435: 59 76 55 61 65 67 52 SP SD: 0.6735 c. M: 1.2966 c. 442: 60 77 56 62 66 68 53 SP SD: 0.7032 c. M: 1.0633 c. 478: 65 83 61 67 71 74 57 SP SD: 0.6459 c. M: 1.0962 c. 629: 86 109 80 88 94 97 75 SP SD: 0.6331 c. M:-1.3196 c. 639: 87 111 81 90 95 99 76 SP SD: 0.6313 c. M:-1.2676 c. 646: 88 112 82 91 96 100 77 SP SD: 0.6512 c. M: 0.9412 c. 655: 89 114 83 92 98 101 78 SP SD: 0.6049 c. M:-0.9130 c. 662: 90 115 84 93 99 102 79 SP SD: 0.5497 c. M: 0.8852 c. 677: 92 118 86 95 101 104 81 SP SD: 0.6062 c. M:-0.8050 c. 684: 93 119 87 96 102 105 82 SP SD: 0.5345 c. M: 1.0000 c. 712: 97 124 90 100 106 110 85 SP SD: 0.5023 c. M:-1.0815 c. 719: 98 125 91 101 107 111 86 SP SD: 0.4834 c. M: 0.9360 c. 764: 104 133 97 107 114 118 91 SP SD: 0.4664 c. M:-0.8508 c. 771: 105 134 98 108 115 119 92 SP SD: 0.2326 c. M:-0.4047 c. 1213: 165 211 154 170 181 187 145 SP SD: 0.2501 c. M: 0.4666 c. 1323: 180 230 168 186 197 204 158 SP SD: 0.2197 c. M:-0.4762 c. 1330: 181 231 169 187 198 205 159 SP SD: 0.2619 c. M:-0.4000 c. 1433: 195 249 182 201 214 221 171 SP SD: 0.2462 c. M: 0.3964 c. 1455: 198 253 185 204 217 224 174 SP SD: 0.2302 c. M:-0.4495 c. 1474: 201 256 187 207 220 227 176 SP SD: 0.2748 c. M:-0.4668 c. 1481: 202 257 188 208 221 228 177 SP SD: 0.2473 c. M:-0.5280 c. 1549: 211 269 197 217 231 239 185 SP SD: 0.2150 c. M:-0.3125 c. 1616: 220 281 205 227 241 249 193 SP SD: 0.1411 c. M:-0.2054 c. 1623: 221 282 206 228 242 250 194 SP SD: 0.1105 c. M: 0.1922 c. 2387: 325 415 303 335 356 368 285 SP SD: 0.1003 c. M:-0.1701 c. 2394: 326 416 304 336 357 369 286 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 x 3 x 4 S SD: 74.7636 cents 2 x 3:4 x 5:7:8 SD: 45.7683 cents 3:4:5:6:7:8:10:12 S SD: 41.1708 cents 4:5:6:7:9:11:14:16 SD: 17.8227 cents 5:6:8:9:11:14:17:20 SD: 13.0809 cents 8:10:12:15:18:22:27:32 SD: 12.5359 cents 9:11:14:16:20:25:30:36 SD: 10.0536 cents 10:12:15:18:22:27:34:40 SD: 8.2487 cents 11:13:17:20:24:30:37:44 SD: 7.4196 cents 13:16:20:24:29:36:44:52 SD: 6.4850 cents 15:18:23:27:33:41:51:60 SD: 5.2671 cents 18:22:28:33:40:49:61:72 SD: 4.7019 cents 19:23:29:35:42:52:64:76 SD: 2.9114 cents 24:29:37:44:53:66:81:96 SD: 2.7481 cents 30:36:46:55:67:82:101:120 SD: 2.4102 cents 34:41:52:62:76:93:115:136 SD: 2.2098 cents 43:52:66:79:96:117:145:171 SD: 2.0024 cents 45:54:69:82:100:123:152:179 SD: 1.9152 cents 47:57:72:86:104:128:159:187 SD: 1.8048 cents 48:58:74:88:107:131:162:191 SD: 1.5437 cents 53:64:81:97:118:145:179:211 SD: 1.3553 cents 58:70:89:106:129:158:196:231 SD: 0.7434 cents 77:93:118:141:171:210:260:307 SD: 0.6034 cents 82:99:126:150:182:224:277:327 SD: 0.3886 cents 140:169:215:256:311:382:473:558 SD: 0.2658 cents 217:262:333:397:482:593:733:865 SD: 0.2500 cents 222:268:341:406:493:606:750:885 SD: 0.2443 cents 271:327:416:496:602:740:916:1080 SD: 0.1625 cents 275:332:422:503:611:751:929:1096 SD: 0.1594 cents 353:426:542:646:784:964:1193:1407 SD: 0.1410 cents 357:431:548:653:793:975:1206:1423 SD: 0.1366 cents 411:496:631:752:913:1122:1389:1638 SD: 0.1191 cents 482:582:740:882:1071:1316:1629:1921 SD: 0.0921 cents 546:659:838:999:1213:1491:1845:2176 SD: 0.0910 cents 564:681:866:1032:1253:1540:1906:2248 SD: 0.0825 cents