Scala analysis: Solomon_Islands_Panpipe_02
Panpipe 2 (Panpipe), Solomon Islands
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 225.000 cents 225.000000 2: 442.000 cents 442.000000 3: 631.000 cents 631.000000 4: 791.000 cents 791.000000 5: 990.000 cents 990.000000 6: 1155.000 cents 1155.000000
SHOW/INTERVAL
0: 165.0000 cents 165.0000 1: 225.0000 cents 225.0000 2: 217.0000 cents 217.0000 3: 189.0000 cents 189.0000 4: 160.0000 cents 160.0000 5: 199.0000 cents 199.0000 6: 165.0000 cents 165.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 160.00000 cents 1: 1 165.00000 cents 1: 1 189.00000 cents 1: 1 199.00000 cents 1: 1 217.00000 cents 1: 1 225.00000 cents 2: 1 349.00000 cents 2: 1 359.00000 cents 2: 1 364.00000 cents 2: 1 390.00000 cents 2: 1 406.00000 cents 2: 1 442.00000 cents 3: 1 524.00000 cents 3: 1 548.00000 cents 3: 1 566.00000 cents 3: 1 589.00000 cents 3: 1 607.00000 cents 3: 1 631.00000 cents 4: 1 713.00000 cents 4: 1 749.00000 cents 4: 1 765.00000 cents 4: 1 791.00000 cents 4: 1 796.00000 cents 4: 1 806.00000 cents 5: 1 930.00000 cents 5: 1 938.00000 cents 5: 1 956.00000 cents 5: 1 966.00000 cents 5: 1 990.00000 cents 5: 1 995.00000 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 : 225.0 442.0 631.0 791.0 990.0 1155.0 225.0 : 217.0 406.0 566.0 765.0 930.0 1155.0 442.0 : 189.0 349.0 548.0 713.0 938.0 1155.0 631.0 : 160.0 359.0 524.0 749.0 966.0 1155.0 791.0 : 199.0 364.0 589.0 806.0 995.0 1155.0 990.0 : 165.0 390.0 607.0 796.0 956.0 1155.0 1155.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 160.0000 .. 225.0000 cents 65.00000 cents 160.00000 cents 2: 349.0000 .. 442.0000 cents 93.00000 cents 124.00000 cents 3: 524.0000 .. 631.0000 cents 107.00000 cents 82.00000 cents 4: 713.0000 .. 806.0000 cents 93.00000 cents 82.00000 cents 5: 930.0000 .. 995.0000 cents 65.00000 cents 124.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 160.00000 cents, class 1 Average step (divided formal octave): 192.5000 cents Largest one step interval : 225.00000 cents Average / Smallest step : 1.203125 Largest / Average step : 1.168831 Largest / Smallest step : 1.406250 Median interval of one step : 194.00000 cents, amount: 0 Least squares average step : 198.30769 cents, oct.: 1189.84615 cents Scale is strictly proper Scale is a mode of a 1155-tone equal temperament with octave 1155.000 cents degrees: 225 442 631 791 990 1155 Least number of segments generator : 578 of 578.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 589 of 589.000 cents and inv. generated superset size: 286 = 280 more = 4766.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FECADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 82.00000 cents Scale diversity : 1.488679 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.633766 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 : 5.00000 cents Number of recognisable fifths : 1, average 713.0000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 93.0000 cents: 2 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 37.3380 c. M: 57.0000 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 9: 2 1 2 1 2 1 SP B ME SD: 32.0182 c. M: 57.0000 c. August-6 11: 2 2 2 1 2 2 SP M ME SD: 31.2810 c. M: 56.0000 c. 13: 3 2 2 2 2 2 SP M ME SD: 18.4758 c. M:-41.5385 c. 14: 3 2 3 2 2 2 SP D3 SD: 23.7118 c. M:-34.0000 c. 15: 3 3 2 2 3 2 SP D3 SD: 14.2770 c. M: 21.0000 c. 16: 3 3 3 2 3 2 SP D3 SD: 12.4763 c. M:-20.6250 c. 20: 4 4 3 3 3 3 SP D3 S SD: 11.7500 c. M:-20.0000 c. 22: 4 4 4 3 4 3 SP D3 SD: 11.3908 c. M: 22.0000 c. 26: 5 5 4 4 4 4 SP D3 S SD: 7.4275 c. M: 12.6923 c. 29: 6 5 5 4 5 4 SP SD: 7.2153 c. M:-13.9655 c. 35: 7 6 6 5 6 5 SP SD: 6.0828 c. M: 13.0000 c. 36: 7 7 6 5 6 5 SP SD: 7.1782 c. M:-11.0833 c. 37: 7 7 6 5 7 5 SP SD: 7.1082 c. M: 10.5946 c. 41: 8 8 6 6 7 6 SP SD: 6.1091 c. M: 11.2439 c. 42: 8 8 7 6 7 6 SP SD: 3.5000 c. M:-6.5000 c. 57: 11 11 9 8 10 8 SP SD: 2.4424 c. M:-3.7895 c. 86: 17 16 14 12 15 12 SP SD: 2.2024 c. M:-3.8372 c. 92: 18 17 15 13 16 13 SP SD: 1.9019 c. M: 3.2826 c. 104: 20 20 17 14 18 15 SP SD: 2.0870 c. M: 2.8846 c. 112: 22 21 18 16 19 16 SP SD: 1.7661 c. M:-3.0625 c. 117: 23 22 19 16 20 17 SP SD: 1.7958 c. M: 2.8205 c. 128: 25 24 21 18 22 18 SP SD: 1.6734 c. M:-3.0625 c. 133: 26 25 22 18 23 19 SP SD: 1.3325 c. M:-2.9474 c. 134: 26 25 22 19 23 19 SP SD: 1.5943 c. M: 2.4104 c. 139: 27 26 23 19 24 20 SP SD: 1.1000 c. M: 1.6115 c. 159: 31 30 26 22 27 23 SP SD: 1.0934 c. M: 2.0755 c. 181: 35 34 30 25 31 26 SP SD: 1.0860 c. M: 1.6961 c. 190: 37 36 31 26 33 27 SP SD: 0.9897 c. M:-1.7632 c. 196: 38 37 32 27 34 28 SP SD: 0.7311 c. M: 1.3571 c. 225: 44 42 37 31 39 32 SP SD: 0.5703 c. M:-0.8667 c. 251: 49 47 41 35 43 36 SP SD: 0.4628 c. M: 0.6574 c. 324: 63 61 53 45 56 46 SP SD: 0.4769 c. M:-1.0185 c. 384: 75 72 63 53 66 55 SP SD: 0.4007 c. M:-0.6406 c. 390: 76 73 64 54 67 56 SP SD: 0.4770 c. M: 0.8462 c. 421: 82 79 69 58 73 60 SP SD: 0.4128 c. M: 0.8812 c. 441: 86 83 72 61 76 63 SP SD: 0.2824 c. M:-0.6190 c. 447: 87 84 73 62 77 64 SP SD: 0.3136 c. M: 0.5302 c. 463: 90 87 76 64 80 66 SP SD: 0.3250 c. M: 0.4860 c. 476: 93 89 78 66 82 68 SP SD: 0.3159 c. M:-0.6618 c. 483: 94 91 79 67 83 69 SP SD: 0.3069 c. M:-0.5217 c. 533: 104 100 87 74 92 76 SP SD: 0.2594 c. M: 0.4090 c. 575: 112 108 94 80 99 82 SP SD: 0.2397 c. M:-0.4261 c. 580: 113 109 95 80 100 83 SP SD: 0.2377 c. M: 0.4224 c. 622: 121 117 102 86 107 89 SP SD: 0.2223 c. M:-0.3505 c. 672: 131 126 110 93 116 96 SP SD: 0.2206 c. M: 0.3750 c. 692: 135 130 113 96 119 99 SP SD: 0.2174 c. M:-0.3251 c. 708: 138 133 116 98 122 101 SP SD: 0.1980 c. M:-0.3347 c. 714: 139 134 117 99 123 102 SP SD: 0.1744 c. M: 0.3824 c. 771: 150 145 126 107 133 110 SP SD: 0.1996 c. M: 0.3191 c. 831: 162 156 136 115 143 119 SP SD: 0.1859 c. M: 0.3971 c. 847: 165 159 139 117 146 121 SP SD: 0.1701 c. M:-0.3636 c. 888: 173 167 145 123 153 127 SP SD: 0.1597 c. M:-0.2297 c. 904: 176 170 148 125 156 129 SP SD: 0.1285 c. M:-0.1825 c. 1098: 214 206 180 152 189 157 SP SD: 0.1268 c. M: 0.1967 c. 1155: 225 217 189 160 199 165 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 45.0000 cents 2 x x 3 x x 4 S SD: 42.0107 cents 3 x 4 x 5 x 6 S SD: 39.2738 cents 4 x 5:6 x 7:8 S SD: 25.7499 cents 5:6 x 7:8:9:10 S SD: 23.5526 cents 6:7:8:9 x 11:12 SD: 24.8819 cents 7:8:9:10:11:12:14 S SD: 12.4724 cents 13:15:17:19:21:23:25 SD: 10.2276 cents 14:16:18:20:22:25:27 SD: 4.8705 cents 21:24:27:30:33:37:41 SD: 3.4990 cents 34:39:44:49:54:60:66 SD: 3.1903 cents 38:43:49:55:60:67:74 SD: 2.7703 cents 41:47:53:59:65:73:80 SD: 2.7127 cents 45:51:58:65:71:80:88 SD: 2.2622 cents 52:59:67:75:82:92:101 SD: 1.6952 cents 66:75:85:95:104:117:129 SD: 1.4169 cents 79:90:102:114:125:140:154 SD: 0.8880 cents 93:106:120:134:147:165:181 SD: 0.7194 cents 100:114:129:144:158:177:195 SD: 0.5068 cents 193:220:249:278:305:342:376 SD: 0.4190 cents 209:238:270:301:330:370:407 SD: 0.3683 cents 216:246:279:311:341:383:421 SD: 0.3358 cents 268:305:346:386:423:475:522 SD: 0.3275 cents 275:313:355:396:434:487:536 SD: 0.2695 cents 316:360:408:455:499:560:616 SD: 0.1946 cents 368:419:475:530:581:652:717 SD: 0.1381 cents 468:533:604:674:739:829:912 SD: 0.1090 cents