Scala analysis: Solomon_Islands_Panpipes_41
41 (Panpipes), Solomon Islands
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 122.000 cents 122.000000 2: 455.000 cents 455.000000 3: 627.000 cents 627.000000 4: 858.000 cents 858.000000 5: 1110.000 cents 1110.000000 6: 1331.000 cents 1331.000000
SHOW/INTERVAL
0: 221.0000 cents 221.0000 1: 122.0000 cents 122.0000 2: 333.0000 cents 333.0000 3: 172.0000 cents 172.0000 4: 231.0000 cents 231.0000 5: 252.0000 cents 252.0000 6: 221.0000 cents 221.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 122.00000 cents 1: 1 172.00000 cents 1: 1 221.00000 cents 1: 1 231.00000 cents 1: 1 252.00000 cents 1: 1 333.00000 cents 2: 1 343.00000 cents 2: 1 403.00000 cents 2: 1 455.00000 cents 2: 1 473.00000 cents 2: 1 483.00000 cents 2: 1 505.00000 cents 3: 1 595.00000 cents 3: 1 627.00000 cents 3: 1 655.00000 cents 3: 1 676.00000 cents 3: 1 704.00000 cents 3: 1 736.00000 cents 4: 1 826.00000 cents 4: 1 848.00000 cents 4: 1 858.00000 cents 4: 1 876.00000 cents 4: 1 928.00000 cents 4: 1 988.00000 cents 5: 1 998.00000 cents 5: 1 1079.00000 cents 5: 1 1100.00000 cents 5: 1 1110.00000 cents 5: 1 1159.00000 cents 5: 1 1209.00000 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 : 122.0 455.0 627.0 858.0 1110.0 1331.0 122.0 : 333.0 505.0 736.0 988.0 1209.0 1331.0 455.0 : 172.0 403.0 655.0 876.0 998.0 1331.0 627.0 : 231.0 483.0 704.0 826.0 1159.0 1331.0 858.0 : 252.0 473.0 595.0 928.0 1100.0 1331.0 1110.0: 221.0 343.0 676.0 848.0 1079.0 1331.0 1331.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 122.0000 .. 333.0000 cents 211.00000 cents 122.00000 cents 2: 343.0000 .. 505.0000 cents 162.00000 cents 10.00000 cents 3: 595.0000 .. 736.0000 cents 141.00000 cents 90.00000 cents 4: 826.0000 .. 988.0000 cents 162.00000 cents 90.00000 cents 5: 998.0000 .. 1209.0000 cents 211.00000 cents 10.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 122.00000 cents, class 1 Average step (divided formal octave): 221.8333 cents Largest one step interval : 333.00000 cents Average / Smallest step : 1.818306 Largest / Average step : 1.501127 Largest / Smallest step : 2.729508 Median interval of one step : 226.00000 cents, amount: 0 Least squares average step : 218.47253 cents, oct.: 1310.83516 cents Scale is strictly proper Scale is a mode of a 1331-tone equal temperament with octave 1331.000 cents degrees: 122 455 627 858 1110 1331 Least number of segments generator : 666 of 666.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 669 of 669.000 cents and inv. generated superset size: 237 = 231 more = 3950.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : AFBDEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.396036 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.333584 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 : 10.00000 cents Number of recognisable fifths : 1, average 704.0000 cents Number of recognisable fourths : 2, average 494.0000 cents Number of appreciable fourths : 1, average 505.0000 cents 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: 45.5312 c. M:-99.8333 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 8: 1 2 1 1 2 1 P B ME I SD: 38.8690 c. M:-54.6250 c. 9: 1 2 1 2 2 1 P D3 SD: 37.1050 c. M:-73.1111 c. 11: 1 3 1 2 2 2 P D3 SD: 17.7388 c. M:-29.0000 c. 17: 2 4 2 3 3 3 SP D3 SD: 16.4213 c. M:-34.5882 c. 20: 2 5 2 4 4 3 P SD: 15.9931 c. M: 28.0500 c. 22: 2 5 3 4 4 4 SP SD: 18.4357 c. M: 31.5000 c. 23: 2 6 3 4 4 4 P SD: 8.2124 c. M: 10.4783 c. 32: 3 8 4 6 6 5 P SD: 8.4932 c. M:-15.4688 c. 36: 3 9 5 6 7 6 P SD: 7.2188 c. M: 11.3333 c. 42: 4 10 6 7 8 7 SP SD: 5.8272 c. M: 11.3333 c. 43: 4 11 5 8 8 7 P SD: 6.4171 c. M:-9.3023 c. 47: 4 12 6 8 9 8 P SD: 5.7350 c. M: 8.7234 c. 53: 5 13 7 9 10 9 SP SD: 3.2813 c. M: 5.0189 c. 76: 7 19 10 13 14 13 SP SD: 3.0838 c. M: 6.6711 c. 79: 7 20 10 14 15 13 P SD: 2.4186 c. M: 4.0633 c. 85: 8 21 11 15 16 14 SP SD: 2.0631 c. M:-3.2706 c. 96: 9 24 12 17 18 16 SP SD: 2.1206 c. M: 3.0937 c. 108: 10 27 14 19 20 18 SP SD: 2.1409 c. M:-4.6852 c. 121: 11 30 16 21 23 20 SP SD: 1.7321 c. M: 4.0000 c. 132: 12 33 17 23 25 22 SP SD: 1.1149 c. M: 1.8333 c. 216: 20 54 28 37 41 36 SP SD: 1.1351 c. M:-1.5278 c. 217: 20 54 28 38 41 36 SP SD: 0.8265 c. M: 1.3687 c. 240: 22 60 31 42 45 40 SP SD: 0.7560 c. M:-1.6042 c. 284: 26 71 37 49 54 47 SP SD: 0.5548 c. M:-1.0070 c. 295: 27 74 38 51 56 49 SP SD: 0.4291 c. M: 0.7458 c. 380: 35 95 49 66 72 63 SP SD: 0.3165 c. M:-0.5921 c. 512: 47 128 66 89 97 85 SP SD: 0.2234 c. M: 0.4941 c. 535: 49 134 69 93 101 89 SP SD: 0.2449 c. M: 0.4187 c. 766: 70 192 99 133 145 127 SP SD: 0.2938 c. M:-0.3734 c. 796: 73 199 103 138 151 132 SP SD: 0.1646 c. M:-0.2814 c. 819: 75 205 106 142 155 136 SP SD: 0.1397 c. M:-0.3089 c. 951: 87 238 123 165 180 158 SP SD: 0.1265 c. M: 0.2366 c. 1036: 95 259 134 180 196 172 SP SD: 0.1222 c. M:-0.2124 c. 1199: 110 300 155 208 227 199 SP SD: 0.1227 c. M:-0.2018 c. 1308: 120 327 169 227 248 217 SP SD: 0.1444 c. M:-0.1843 c. 1331: 122 333 172 231 252 221 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x S SD: 90.0000 cents 2 x x 3 x 4 x S SD: 58.5625 cents 3 x 4 x 5:6 x S SD: 34.3958 cents 4 x 5:6:7:8:9 S SD: 37.9654 cents 5 x x 7:8:10:11 SD: 28.7219 cents 7:8:9:10:12:13:15 SD: 23.3636 cents 8:9:10:12:13:15:17 SD: 22.6698 cents 9:10:12:13:15:17:19 SD: 14.6889 cents 10:11:13:14:16:19:22 SD: 13.8950 cents 11:12:14:16:18:21:24 S SD: 9.4285 cents 13:14:17:19:21:25:28 SD: 7.9813 cents 14:15:18:20:23:27:30 SD: 6.1474 cents 23:25:30:33:38:44:50 SD: 5.2793 cents 26:28:34:37:43:49:56 SD: 4.5101 cents 27:29:35:39:44:51:58 SD: 3.4113 cents 30:32:39:43:49:57:65 SD: 2.6519 cents 39:42:51:56:64:74:84 SD: 1.9565 cents 53:57:69:76:87:101:114 SD: 1.6100 cents 67:72:87:96:110:127:145 SD: 1.4243 cents 69:74:90:99:113:131:149 SD: 1.1668 cents 83:89:108:119:136:158:179 SD: 1.0882 cents 96:103:125:138:158:182:207 SD: 0.9711 cents 109:117:142:157:179:207:235 SD: 0.9526 cents 110:118:143:158:181:209:237 SD: 0.8225 cents 126:135:164:181:207:239:272 SD: 0.6404 cents 140:150:182:201:230:266:302 SD: 0.5644 cents 167:179:217:240:274:317:360 SD: 0.5001 cents 176:189:229:253:289:334:380 SD: 0.4542 cents 179:192:233:257:294:340:386 SD: 0.3762 cents 190:204:247:273:312:361:410 SD: 0.3414 cents 206:221:268:296:338:391:444 SD: 0.3244 cents 259:278:337:372:425:492:559 SD: 0.2762 cents 273:293:355:392:448:518:589 SD: 0.2509 cents 316:339:411:454:519:600:682 SD: 0.2270 cents 343:368:446:493:563:651:740 SD: 0.2230 cents 369:396:480:530:606:701:796 SD: 0.2226 cents 383:411:498:550:629:727:826 SD: 0.2116 cents 396:425:515:569:650:752:854 SD: 0.1447 cents 522:560:679:750:857:991:1126 SD: 0.1153 cents