Scala analysis: Indonesia_Pelog_Gong_Sasak
Pelog Gong Sasak (Gong), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 113.000 cents 113.000000 2: 463.000 cents 463.000000 3: 570.000 cents 570.000000 4: 808.000 cents 808.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 392.0000 cents 392.0000 1: 113.0000 cents 113.0000 2: 350.0000 cents 350.0000 3: 107.0000 cents 107.0000 4: 238.0000 cents 238.0000 5: 392.0000 cents 392.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 107.00000 cents 1: 1 113.00000 cents 1: 1 238.00000 cents 1: 1 350.00000 cents 1: 1 392.00000 cents 2: 1 345.00000 cents 2: 1 457.00000 cents 2: 1 463.00000 cents 2: 1 505.00000 cents 2: 1 630.00000 cents 3: 1 570.00000 cents 3: 1 695.00000 cents 3: 1 737.00000 cents 3: 1 743.00000 cents 3: 1 855.00000 cents 4: 1 808.00000 cents 4: 1 850.00000 cents 4: 1 962.00000 cents 4: 1 1087.00000 cents 4: 1 1093.00000 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 : 113.0 463.0 570.0 808.0 1200.0 113.0 : 350.0 457.0 695.0 1087.0 1200.0 463.0 : 107.0 345.0 737.0 850.0 1200.0 570.0 : 238.0 630.0 743.0 1093.0 1200.0 808.0 : 392.0 505.0 855.0 962.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 107.0000 .. 392.0000 cents 285.00000 cents 107.00000 cents 2: 345.0000 .. 630.0000 cents 285.00000 cents -47.00000 cents 3: 570.0000 .. 855.0000 cents 285.00000 cents -60.00000 cents 4: 808.0000 .. 1093.0000 cents 285.00000 cents -47.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 107.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 392.00000 cents Average / Smallest step : 2.242991 Largest / Average step : 1.633333 Largest / Smallest step : 3.663551 Median interval of one step : 238.00000 cents, amount: 1 Least squares average step : 217.83636 cents, oct.: 1089.18182 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 113 463 570 808 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 607 of 607.000 cents and inv. generated superset size: 242 = 237 more = 4840.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BDACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.628135 Lumma stability : 0.178333 Lumma impropriety factor : 0.128333 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 : 5.00000 cents Number of recognisable fifths : 1, average 695.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 0 2 0 1 2 N T3 SD: 76.0289 c. M: 113.0000 c. 6: 1 1 1 1 2 P M ME S SD: 50.0040 c. M:-87.0000 c. 8: 1 2 1 1 3 N T3 SD: 34.0646 c. M: 58.0000 c. 9: 1 2 1 2 3 N G T3 SD: 34.0320 c. M: 63.0000 c. 10: 1 3 1 2 3 P T3 SD: 21.2697 c. M:-32.0000 c. 13: 1 4 1 3 4 N T3 SD: 15.5544 c. M:-22.7692 c. 19: 2 5 2 4 6 N SD: 12.5440 c. M: 20.8947 c. 21: 2 6 2 4 7 N SD: 4.5166 c. M: 8.0000 c. 34: 3 10 3 7 11 N SD: 4.6969 c. M: 7.1176 c. 52: 5 15 5 10 17 N SD: 3.3420 c. M:-6.9231 c. 55: 5 16 5 11 18 N SD: 3.0484 c. M: 4.8182 c. 65: 6 19 6 13 21 N SD: 2.4897 c. M:-4.3077 c. 76: 7 22 7 15 25 N SD: 2.9040 c. M: 5.1053 c. 86: 8 25 8 17 28 N SD: 1.6962 c. M: 2.5349 c. 107: 10 31 10 21 35 N SD: 1.7324 c. M: 3.1869 c. 114: 11 33 10 23 37 N SD: 1.8266 c. M:-2.7895 c. 116: 11 34 10 23 38 N SD: 1.3604 c. M:-2.5172 c. 135: 13 39 12 27 44 N SD: 1.3536 c. M:-2.5556 c. 137: 13 40 12 27 45 N SD: 1.2146 c. M: 2.1606 c. 147: 14 43 13 29 48 N SD: 1.3445 c. M:-2.3061 c. 150: 14 44 13 30 49 N SD: 1.0954 c. M: 2.0000 c. 168: 16 49 15 33 55 N SD: 1.1029 c. M:-1.4286 c. 171: 16 50 15 34 56 N SD: 0.8945 c. M: 1.5789 c. 181: 17 53 16 36 59 N SD: 0.6329 c. M:-1.0884 c. 202: 19 59 18 40 66 N SD: 0.2215 c. M:-0.3663 c. 575: 54 168 51 114 188 N SD: 0.2736 c. M: 0.3478 c. 594: 56 173 53 118 194 N SD: 0.2260 c. M: 0.3737 c. 625: 59 182 56 124 204 N SD: 0.2517 c. M:-0.3200 c. 627: 59 183 56 124 205 N SD: 0.2291 c. M: 0.3445 c. 661: 62 193 59 131 216 N SD: 0.2100 c. M: 0.4433 c. 741: 70 216 66 147 242 N SD: 0.1821 c. M:-0.3603 c. 775: 73 226 69 154 253 N SD: 0.1457 c. M:-0.2581 c. 796: 75 232 71 158 260 N SD: 0.1124 c. M: 0.1859 c. 977: 92 285 87 194 319 N SD: 0.0964 c. M:-0.1883 c. 998: 94 291 89 198 326 N SD: 0.0448 c. M: 0.0741 c. 1200: 113 350 107 238 392 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 x 3:4 S SD: 53.0225 cents 3 x 4 x 5:6 S SD: 28.0056 cents 4 x 5 x 6:8 S SD: 43.6225 cents 5 x x 7:8:10 SD: 4.5812 cents 6:7:8 x 10:12 S SD: 43.8285 cents 7:8:9:10:11:14 SD: 26.5708 cents 8:9:10:11:13:16 SD: 24.9419 cents 9:10:12:13:14:18 SD: 22.2164 cents 10:11:13:14:16:20 SD: 10.9005 cents 13:14:17:18:21:26 SD: 5.5680 cents 26:28:34:36:41:52 SD: 5.1333 cents 28:30:37:39:45:56 SD: 4.9612 cents 29:31:38:40:46:58 SD: 3.4227 cents 30:32:39:42:48:60 SD: 3.2723 cents 42:45:55:58:67:84 SD: 2.6992 cents 46:49:60:64:73:92 SD: 1.9711 cents 59:63:77:82:94:118 SD: 0.5372 cents 180:192:235:250:287:360 SD: 0.4620 cents 192:205:251:267:306:384 SD: 0.3432 cents 251:268:328:349:400:502 SD: 0.2947 cents 254:271:332:353:405:508 SD: 0.2211 cents 313:334:409:435:499:626 SD: 0.1649 cents 326:348:426:453:520:652 SD: 0.1196 cents 385:411:503:535:614:770 SD: 0.0882 cents