Scala analysis: Indonesia_Kanyutmesem_b
Kanyutmesem (Saron Demung or Gender Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 251.000 cents 251.000000 2: 489.000 cents 489.000000 3: 730.000 cents 730.000000 4: 966.000 cents 966.000000 5: 1219.000 cents 1219.000000
SHOW/INTERVAL
0: 253.0000 cents 253.0000 1: 251.0000 cents 251.0000 2: 238.0000 cents 238.0000 3: 241.0000 cents 241.0000 4: 236.0000 cents 236.0000 5: 253.0000 cents 253.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 236.00000 cents 1: 1 238.00000 cents 1: 1 241.00000 cents 1: 1 251.00000 cents 1: 1 253.00000 cents 2: 1 477.00000 cents 2: 1 479.00000 cents 2: 2 489.00000 cents 2: 1 504.00000 cents 3: 1 715.00000 cents 3: 2 730.00000 cents 3: 1 740.00000 cents 3: 1 742.00000 cents 4: 1 966.00000 cents 4: 1 968.00000 cents 4: 1 978.00000 cents 4: 1 981.00000 cents 4: 1 983.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 251.0 489.0 730.0 966.0 1219.0 251.0 : 238.0 479.0 715.0 968.0 1219.0 489.0 : 241.0 477.0 730.0 981.0 1219.0 730.0 : 236.0 489.0 740.0 978.0 1219.0 966.0 : 253.0 504.0 742.0 983.0 1219.0 1219.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 236.0000 .. 253.0000 cents 17.00000 cents 236.00000 cents 2: 477.0000 .. 504.0000 cents 27.00000 cents 224.00000 cents 3: 715.0000 .. 742.0000 cents 27.00000 cents 211.00000 cents 4: 966.0000 .. 983.0000 cents 17.00000 cents 224.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 236.00000 cents, class 1 Average step (divided formal octave): 243.8000 cents Largest one step interval : 253.00000 cents Average / Smallest step : 1.033051 Largest / Average step : 1.037736 Largest / Smallest step : 1.072034 Median interval of one step : 241.00000 cents, amount: 1 Least squares average step : 243.23636 cents, oct.: 1216.18182 cents Scale is strictly proper Scale is a mode of a 1219-tone equal temperament with octave 1219.000 cents degrees: 251 489 730 966 1219 Least number of segments generator : 610 of 610.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 975 of 975.000 cents and inv. generated superset size: 83 = 78 more = 1660.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DBCAE Scale is a Constant Structure, by a margin of 211.00000 cents Scale diversity : 1.067403 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.927810 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2.00000 cents Most common intervals : 489.00000 cents & inv., amount: 2 Most common triad is 0.0 489.000 730.000 cents, amount: 1 Number of recognisable fifths : 1, average 715.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 3, average 494.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 60.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 17.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 17.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 5.2991 c. M:-9.2000 c. 33: 7 6 7 6 7 SP M ME I SD: 6.9704 c. M:-8.7879 c. 38: 8 7 8 7 8 SP M ME I SD: 5.7806 c. M:-7.8158 c. 43: 9 8 9 8 9 SP M ME I SD: 4.9331 c. M:-7.0698 c. 48: 10 9 10 9 10 SP M ME I SD: 4.3273 c. M:-6.4792 c. 52: 11 10 10 10 11 SP D3 I SD: 4.2996 c. M:-6.8654 c. 53: 11 10 11 10 11 SP M ME I SD: 3.8987 c. M:-6.0000 c. 57: 12 11 11 11 12 SP D3 I SD: 3.5060 c. M:-5.6316 c. 58: 12 11 12 11 12 SP M ME I SD: 3.6023 c. M:-5.6034 c. 62: 13 12 12 12 13 SP D3 I SD: 2.8530 c. M:-4.5968 c. 67: 14 13 13 13 14 SP D3 I SD: 2.3144 c. M:-3.7164 c. 72: 15 14 14 14 15 SP D3 I SD: 1.8740 c. M:-2.9583 c. 77: 16 15 15 15 16 SP D3 I SD: 1.5240 c. M:-2.2987 c. 82: 17 16 16 16 17 SP D3 I SD: 1.2637 c. M:-1.7195 c. 87: 18 17 17 17 18 SP D3 I SD: 1.0971 c. M:-1.4023 c. 92: 19 18 18 18 19 SP D3 I SD: 1.0247 c. M:-1.2500 c. 189: 39 37 37 37 39 SP D3 I SD: 1.0206 c. M:-1.4603 c. 207: 43 40 41 40 43 SP T3 I SD: 1.0086 c. M:-2.2222 c. 212: 44 41 42 41 44 SP T3 I SD: 0.9083 c. M:-2.0000 c. 217: 45 42 43 42 45 SP T3 I SD: 0.8240 c. M:-1.7880 c. 222: 46 43 44 43 46 SP T3 I SD: 0.7574 c. M:-1.5856 c. 227: 47 44 45 44 47 SP T3 I SD: 0.7099 c. M:-1.3921 c. 232: 48 45 46 45 48 SP T3 I SD: 0.6826 c. M:-1.2069 c. 237: 49 46 47 46 49 SP T3 I SD: 0.6749 c. M:-1.0295 c. 312: 64 61 62 60 65 SP SD: 0.7189 c. M: 0.9583 c. 314: 65 61 62 61 65 SP T3 I SD: 0.6751 c. M:-1.3408 c. 319: 66 62 63 62 66 SP T3 I SD: 0.6509 c. M:-1.2069 c. 324: 67 63 64 63 67 SP T3 I SD: 0.6378 c. M:-1.0772 c. 329: 68 64 65 64 68 SP T3 I SD: 0.6353 c. M:-1.0486 c. 336: 69 66 66 65 70 SP SD: 0.7174 c. M: 0.9583 c. 339: 70 66 67 66 70 SP T3 I SD: 0.6588 c. M:-1.2891 c. 341: 70 67 67 66 71 SP SD: 0.6857 c. M: 0.8094 c. 344: 71 67 68 67 71 SP T3 I SD: 0.6822 c. M:-1.4041 c. 346: 71 68 68 67 72 SP SD: 0.6630 c. M: 0.8584 c. 351: 72 69 69 68 73 SP SD: 0.6496 c. M: 0.9487 c. 356: 73 70 70 69 74 SP SD: 0.6452 c. M: 1.0365 c. 369: 76 72 73 71 77 SP SD: 0.6160 c. M: 1.3713 c. 374: 77 73 74 72 78 SP SD: 0.5536 c. M: 1.2299 c. 379: 78 74 75 73 79 SP SD: 0.4969 c. M: 1.0923 c. 384: 79 75 76 74 80 SP SD: 0.4470 c. M: 0.9583 c. 389: 80 76 77 75 81 SP SD: 0.4054 c. M: 0.8278 c. 394: 81 77 78 76 82 SP SD: 0.3737 c. M: 0.7005 c. 399: 82 78 79 77 83 SP SD: 0.3535 c. M: 0.5764 c. 404: 83 79 80 78 84 SP SD: 0.3457 c. M: 0.5619 c. 471: 97 92 93 91 98 SP SD: 0.3006 c. M: 0.6348 c. 476: 98 93 94 92 99 SP SD: 0.2532 c. M: 0.5315 c. 481: 99 94 95 93 100 SP SD: 0.2122 c. M: 0.4304 c. 486: 100 95 96 94 101 SP SD: 0.1806 c. M: 0.3313 c. 491: 101 96 97 95 102 SP SD: 0.1629 c. M: 0.2485 c. 496: 102 97 98 96 103 SP SD: 0.1625 c. M: 0.3185 c. 593: 122 116 117 115 123 SP SD: 0.1939 c. M:-0.2445 c. 626: 129 122 124 121 130 SP SD: 0.1837 c. M:-0.2316 c. 631: 130 123 125 122 131 SP SD: 0.1681 c. M:-0.2409 c. 636: 131 124 126 123 132 SP SD: 0.1624 c. M:-0.2500 c. 713: 147 139 141 138 148 SP SD: 0.1464 c. M:-0.3226 c. 718: 148 140 142 139 149 SP SD: 0.1245 c. M:-0.2702 c. 723: 149 141 143 140 150 SP SD: 0.1114 c. M:-0.2185 c. 728: 150 142 144 141 151 SP SD: 0.1099 c. M:-0.1676 c. 1117: 230 218 221 216 232 SP SD: 0.1007 c. M: 0.1853 c. 1122: 231 219 222 217 233 SP SD: 0.0894 c. M: 0.1435 c. 1127: 232 220 223 218 234 SP SD: 0.0836 c. M:-0.1020 c. 1204: 248 235 238 233 250 SP SD: 0.0660 c. M: 0.1146 c. 1209: 249 236 239 234 251 SP SD: 0.0438 c. M: 0.0761 c. 1214: 250 237 240 235 252 SP SD: 0.0218 c. M: 0.0379 c. 1219: 251 238 241 236 253 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 19.0000 cents 2 x x 3 x 4 S SD: 16.9375 cents 3 x 4 x 5:6 S SD: 28.1032 cents 4 x 5:6:7:8 S SD: 27.0416 cents 6:7:8:9:10:12 S SD: 18.0516 cents 7:8:9:11:12:14 SD: 17.3169 cents 8:9:11:12:14:16 SD: 17.0370 cents 11:13:15:17:19:22 SD: 14.2425 cents 12:14:16:18:21:24 S SD: 7.7180 cents 19:22:25:29:33:38 SD: 5.1800 cents 25:29:33:38:44:51 SD: 4.5868 cents 27:31:36:41:47:55 SD: 4.3425 cents 31:36:41:47:54:63 SD: 3.3465 cents 40:46:53:61:70:81 SD: 1.9958 cents 52:60:69:79:91:105 SD: 1.5609 cents 71:82:94:108:124:144 SD: 1.4852 cents 76:88:101:116:133:154 SD: 1.3335 cents 82:95:109:125:143:166 SD: 1.3054 cents 91:105:121:139:159:184 SD: 1.2708 cents 95:110:126:145:166:192 SD: 0.7196 cents 122:141:162:186:213:247 SD: 0.6357 cents 135:156:179:206:236:273 SD: 0.4232 cents 147:170:195:224:257:297 SD: 0.4204 cents 217:251:288:331:379:439 SD: 0.4028 cents 257:297:341:392:449:520 SD: 0.3284 cents 269:311:357:410:470:544 SD: 0.2173 cents 328:379:435:500:573:663 SD: 0.2121 cents 404:467:536:616:706:817 SD: 0.1380 cents 545:630:723:831:952:1102 SD: 0.1120 cents