Scala analysis: Indonesia_Pentatonic_Pelog_Saih_Gong
Pentatonic Pelog Saih Gong (Gong), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 158.000 cents 158.000000 2: 281.000 cents 281.000000 3: 641.000 cents 641.000000 4: 787.000 cents 787.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 413.0000 cents 413.0000 1: 158.0000 cents 158.0000 2: 123.0000 cents 123.0000 3: 360.0000 cents 360.0000 4: 146.0000 cents 146.0000 5: 413.0000 cents 413.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.00000 cents 1: 1 146.00000 cents 1: 1 158.00000 cents 1: 1 360.00000 cents 1: 1 413.00000 cents 2: 1 281.00000 cents 2: 1 483.00000 cents 2: 1 506.00000 cents 2: 1 559.00000 cents 2: 1 571.00000 cents 3: 1 629.00000 cents 3: 1 641.00000 cents 3: 1 694.00000 cents 3: 1 717.00000 cents 3: 1 919.00000 cents 4: 1 787.00000 cents 4: 1 840.00000 cents 4: 1 1042.00000 cents 4: 1 1054.00000 cents 4: 1 1077.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 158.0 281.0 641.0 787.0 1200.0 158.0 : 123.0 483.0 629.0 1042.0 1200.0 281.0 : 360.0 506.0 919.0 1077.0 1200.0 641.0 : 146.0 559.0 717.0 840.0 1200.0 787.0 : 413.0 571.0 694.0 1054.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.0000 .. 413.0000 cents 290.00000 cents 123.00000 cents 2: 281.0000 .. 571.0000 cents 290.00000 cents -132.00000 cents 3: 629.0000 .. 919.0000 cents 290.00000 cents 58.00000 cents 4: 787.0000 .. 1077.0000 cents 290.00000 cents -132.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 123.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 413.00000 cents Average / Smallest step : 1.951220 Largest / Average step : 1.720833 Largest / Smallest step : 3.357724 Median interval of one step : 158.00000 cents, amount: 1 Least squares average step : 214.38182 cents, oct.: 1071.90909 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 158 281 641 787 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 947 of 947.000 cents and inv. generated superset size: 198 = 193 more = 3960.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CADBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 58.00000 cents Scale diversity : 1.656683 Lumma stability : 0.253333 Lumma impropriety factor : 0.220000 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 12.00000 cents Number of recognisable fifths : 2, average 705.5000 cents Number of appreciable fifths : 1, average 694.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 0 2 0 2 N T3 SD: 61.8628 c. M:-82.0000 c. 6: 1 0 2 1 2 N T3 SD: 45.1110 c. M: 81.0000 c. 7: 1 1 2 1 2 P M ME S SD: 46.7462 c. M:-70.1429 c. Thai mode 1 8: 1 1 2 1 3 N T3 SD: 26.3629 c. M: 41.0000 c. 9: 1 1 3 1 3 N M DE S SD: 18.1200 c. M:-25.6667 c. 15: 2 2 4 2 5 N T3 SD: 18.4120 c. M:-39.0000 c. 17: 2 2 5 2 6 N T3 SD: 9.2551 c. M: 16.8235 c. 21: 3 2 6 3 7 N SD: 10.2569 c. M:-13.4286 c. 26: 3 3 8 3 9 N T3 SD: 9.2803 c. M: 19.5385 c. 30: 4 3 9 4 10 N SD: 5.9161 c. M:-13.0000 c. 37: 5 4 11 4 13 N SD: 7.3320 c. M:-10.8919 c. 38: 5 4 11 5 13 N SD: 4.5868 c. M: 9.4211 c. 47: 6 5 14 6 16 N SD: 3.1812 c. M: 4.8085 c. 60: 8 6 18 7 21 N SD: 3.3166 c. M: 7.0000 c. 67: 9 7 20 8 23 N SD: 3.3638 c. M:-5.5672 c. 69: 9 7 21 8 24 N SD: 2.6500 c. M: 4.3913 c. 82: 11 8 25 10 28 N SD: 2.7023 c. M:-3.2439 c. 84: 11 9 25 10 29 N SD: 2.3690 c. M:-4.7143 c. 90: 12 9 27 11 31 N SD: 1.1055 c. M:-2.0000 c. 107: 14 11 32 13 37 N SD: 1.2840 c. M: 1.9533 c. 137: 18 14 41 17 47 N SD: 0.9868 c. M: 1.5839 c. 174: 23 18 52 21 60 N SD: 0.9221 c. M:-1.7586 c. 183: 24 19 55 22 63 N SD: 0.8911 c. M:-1.6230 c. 189: 25 19 57 23 65 N SD: 0.8210 c. M: 1.6349 c. 197: 26 20 59 24 68 N SD: 0.9193 c. M: 1.4061 c. 204: 27 21 61 25 70 N SD: 0.9017 c. M:-1.3529 c. 206: 27 21 62 25 71 N SD: 0.7542 c. M: 1.3883 c. 221: 29 23 66 27 76 N SD: 0.6784 c. M:-1.3529 c. 227: 30 23 68 28 78 N SD: 0.8122 c. M: 1.3524 c. 236: 31 24 71 29 81 N SD: 0.8155 c. M: 1.3390 c. 264: 35 27 79 32 91 N SD: 0.6742 c. M:-1.0909 c. 273: 36 28 82 33 94 N SD: 0.3924 c. M:-0.7582 c. 311: 41 32 93 38 107 N SD: 0.3863 c. M:-0.6720 c. 320: 42 33 96 39 110 N SD: 0.3536 c. M: 0.5000 c. 363: 48 37 109 44 125 N SD: 0.3501 c. M:-0.6777 c. 380: 50 39 114 46 131 N SD: 0.3114 c. M: 0.6842 c. 410: 54 42 123 50 141 N SD: 0.1443 c. M:-0.3171 c. 683: 90 70 205 83 235 N SD: 0.1582 c. M:-0.2884 c. 700: 92 72 210 85 241 N SD: 0.1690 c. M: 0.2857 c. 721: 95 74 216 88 248 N SD: 0.1983 c. M:-0.2760 c. 773: 102 79 232 94 266 N SD: 0.1684 c. M:-0.3441 c. 790: 104 81 237 96 272 N SD: 0.0749 c. M: 0.1646 c. 1110: 146 114 333 135 382 N SD: 0.0896 c. M: 0.1622 c. 1200: 158 123 360 146 413 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 30.4775 cents 3 x x 4:5:6 S SD: 57.6530 cents 4 x 5:6 x 8 S SD: 40.5606 cents 5 x 6:7:8:10 S SD: 18.2568 cents 6 x 7:9 x 12 SD: 20.8570 cents 7 x 8:10:11:14 SD: 13.8197 cents 8:9 x 12:13:16 SD: 23.3030 cents 9:10:11:13:14:18 SD: 14.8492 cents 10:11:12:14:16:20 S SD: 14.6725 cents 11:12:13:16:17:22 SD: 7.1936 cents 21:23:25:30:33:42 SD: 6.3497 cents 22:24:26:32:35:44 SD: 4.3063 cents 29:32:34:42:46:58 SD: 3.5933 cents 33:36:39:48:52:66 SD: 2.6884 cents 40:44:47:58:63:80 SD: 1.5203 cents 62:68:73:90:98:124 SD: 1.4946 cents 63:69:74:91:99:126 SD: 1.3491 cents 73:80:86:106:115:146 SD: 1.0953 cents 85:93:100:123:134:170 SD: 0.5644 cents 125:137:147:181:197:250 SD: 0.1882 cents 335:367:394:485:528:670 SD: 0.1579 cents 346:379:407:501:545:692 SD: 0.1085 cents 471:516:554:682:742:942 SD: 0.0452 cents 596:653:701:863:939:1192 SD: 0.0412 cents