Scala analysis: Indonesia_Pelog_01_a
Pelog 1, Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 167.000 cents 167.000000 2: 412.000 cents 412.000000 3: 537.000 cents 537.000000 4: 683.000 cents 683.000000 5: 935.000 cents 935.000000 6: 1100.000 cents 1100.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 167.0000 cents 167.0000 2: 245.0000 cents 245.0000 3: 125.0000 cents 125.0000 4: 146.0000 cents 146.0000 5: 252.0000 cents 252.0000 6: 165.0000 cents 165.0000 7: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 125.00000 cents 1: 1 146.00000 cents 1: 1 165.00000 cents 1: 1 167.00000 cents 1: 1 245.00000 cents 1: 1 252.00000 cents 2: 1 265.00000 cents 2: 1 267.00000 cents 2: 1 271.00000 cents 2: 1 370.00000 cents 2: 1 398.00000 cents 2: 1 412.00000 cents 2: 1 417.00000 cents 3: 1 432.00000 cents 3: 1 512.00000 cents 3: 1 516.00000 cents 3: 1 517.00000 cents 3: 1 523.00000 cents 3: 1 537.00000 cents 3: 1 563.00000 cents 4: 1 637.00000 cents 4: 1 663.00000 cents 4: 1 677.00000 cents 4: 1 683.00000 cents 4: 1 684.00000 cents 4: 1 688.00000 cents 4: 1 768.00000 cents 5: 1 783.00000 cents 5: 1 788.00000 cents 5: 1 802.00000 cents 5: 1 830.00000 cents 5: 1 929.00000 cents 5: 1 933.00000 cents 5: 1 935.00000 cents 6: 1 948.00000 cents 6: 1 955.00000 cents 6: 1 1033.00000 cents 6: 1 1035.00000 cents 6: 1 1054.00000 cents 6: 1 1075.00000 cents 6: 1 1100.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 167.0 412.0 537.0 683.0 935.0 1100.0 1200.0 167.0 : 245.0 370.0 516.0 768.0 933.0 1033.0 1200.0 412.0 : 125.0 271.0 523.0 688.0 788.0 955.0 1200.0 537.0 : 146.0 398.0 563.0 663.0 830.0 1075.0 1200.0 683.0 : 252.0 417.0 517.0 684.0 929.0 1054.0 1200.0 935.0 : 165.0 265.0 432.0 677.0 802.0 948.0 1200.0 1100.0: 100.0 267.0 512.0 637.0 783.0 1035.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 252.0000 cents 152.00000 cents 100.00000 cents 2: 265.0000 .. 417.0000 cents 152.00000 cents 13.00000 cents 3: 432.0000 .. 563.0000 cents 131.00000 cents 15.00000 cents 4: 637.0000 .. 768.0000 cents 131.00000 cents 74.00000 cents 5: 783.0000 .. 935.0000 cents 152.00000 cents 15.00000 cents 6: 948.0000 .. 1100.0000 cents 152.00000 cents 13.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 252.00000 cents Average / Smallest step : 1.714286 Largest / Average step : 1.470000 Largest / Smallest step : 2.520000 Median interval of one step : 165.00000 cents, amount: 1 Least squares average step : 178.63571 cents, oct.: 1250.45000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 167 412 537 683 935 1100 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1021 of 1021.000 cents and inv. generated superset size: 328 = 321 more = 4685.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : EFBCGDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.00000 cents Scale diversity : 1.500388 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.275000 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 1, average 688.0000 cents Number of appreciable fifths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 152.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 48.5319 c. M: 77.8571 c. Lebeng 9: 1 2 1 1 2 1 1 P M ME S SD: 19.5359 c. M: 33.6667 c. Pelog Saptanada: Sunda 14: 2 3 1 2 3 2 1 P T3 SD: 12.4404 c. M: 22.7143 c. 21: 3 4 2 3 4 3 2 SP T3 SD: 13.7326 c. M: 22.7143 c. 23: 3 5 2 3 5 3 2 P T3 SD: 7.8393 c. M: 15.2609 c. 33: 5 6 4 4 7 4 3 P SD: 9.9251 c. M:-14.8182 c. 35: 5 7 4 4 7 5 3 SP S SD: 6.0426 c. M:-11.5714 c. 44: 6 9 5 5 9 6 4 SP S SD: 5.7942 c. M: 9.0909 c. 49: 7 10 5 6 10 7 4 SP SD: 3.2131 c. M:-4.4286 c. 58: 8 12 6 7 12 8 5 SP SD: 2.2024 c. M: 3.9655 c. 107: 15 22 11 13 22 15 9 SP SD: 2.1167 c. M: 4.1589 c. 108: 15 22 11 13 23 15 9 SP SD: 2.5184 c. M: 5.2222 c. 109: 15 22 12 13 23 15 9 SP SD: 2.1655 c. M: 4.6606 c. 123: 17 25 13 15 26 17 10 SP SD: 1.4633 c. M:-2.4390 c. 158: 22 32 17 19 33 22 13 SP SD: 1.2600 c. M:-2.2405 c. 172: 24 35 18 21 36 24 14 SP SD: 0.9501 c. M:-2.3256 c. 181: 25 37 19 22 38 25 15 SP SD: 0.6364 c. M: 1.2541 c. 230: 32 47 24 28 48 32 19 SP SD: 0.5796 c. M: 1.0870 c. 239: 33 49 25 29 50 33 20 SP SD: 0.6847 c. M: 1.3096 c. 253: 35 52 26 31 53 35 21 SP SD: 0.6547 c. M: 1.0316 c. 286: 40 58 30 35 60 39 24 SP SD: 0.6681 c. M:-0.9161 c. 344: 48 70 36 42 72 47 29 SP SD: 0.5686 c. M: 1.1628 c. 358: 50 73 37 44 75 49 30 SP SD: 0.5213 c. M:-0.7989 c. 395: 55 81 41 48 83 54 33 SP SD: 0.6245 c. M:-1.1646 c. 408: 57 83 43 49 86 56 34 SP SD: 0.5982 c. M:-1.2353 c. 411: 57 84 43 50 86 57 34 SP SD: 0.4699 c. M:-0.7299 c. 422: 59 86 44 51 89 58 35 SP SD: 0.4933 c. M:-0.7725 c. 431: 60 88 45 52 91 59 36 SP SD: 0.4114 c. M: 0.8654 c. 467: 65 95 49 57 98 64 39 SP SD: 0.4086 c. M: 0.8651 c. 480: 67 98 50 58 101 66 40 SP SD: 0.3780 c. M: 0.5000 c. 516: 72 105 54 63 108 71 43 SP SD: 0.3607 c. M:-0.7209 c. 525: 73 107 55 64 110 72 44 SP SD: 0.3582 c. M: 0.5714 c. 539: 75 110 56 66 113 74 45 SP SD: 0.2663 c. M:-0.4879 c. 624: 87 127 65 76 131 86 52 SP SD: 0.3302 c. M: 0.4615 c. 661: 92 135 69 80 139 91 55 SP SD: 0.2172 c. M: 0.3979 c. 720: 100 147 75 88 151 99 60 SP SD: 0.2520 c. M: 0.3333 c. 769: 107 157 80 94 161 106 64 SP SD: 0.2306 c. M:-0.4850 c. 842: 117 172 88 102 177 116 70 SP SD: 0.2217 c. M: 0.3397 c. 914: 127 187 95 111 192 126 76 SP SD: 0.2090 c. M: 0.2867 c. 947: 132 193 99 115 199 130 79 SP SD: 0.1749 c. M:-0.2756 c. 961: 134 196 100 117 202 132 80 SP SD: 0.1703 c. M:-0.3257 c. 970: 135 198 101 118 204 133 81 SP SD: 0.1374 c. M:-0.2577 c. 1019: 142 208 106 124 214 140 85 SP SD: 0.1130 c. M:-0.2228 c. 1142: 159 233 119 139 240 157 95 SP SD: 0.1119 c. M:-0.2014 c. 1151: 160 235 120 140 242 158 96 SP SD: 0.1368 c. M: 0.1885 c. 1191: 166 243 124 145 250 164 99 SP SD: 0.1476 c. M:-0.2544 c. 1200: 167 245 125 146 252 165 100 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 9.4775 cents 3 x x 4 x 5 x 6 S SD: 21.2969 cents 4 x 5 x 6:7 x 8 S SD: 11.6277 cents 5 x 6:7 x x 9:10 SD: 33.6775 cents 6:7 x 8:9:10:11:12 S SD: 21.7177 cents 7:8:9 x 10:12:13:14 S SD: 16.4548 cents 8:9:10:11:12:14:15:16 S SD: 8.8850 cents 11:12:14:15:16:19:21:22 SD: 6.3567 cents 18:20:23:25:27:31:34:36 SD: 6.0509 cents 19:21:24:26:28:33:36:38 SD: 3.8889 cents 27:30:34:37:40:46:51:54 SD: 3.6195 cents 29:32:37:40:43:50:55:58 SD: 3.5784 cents 33:36:42:45:49:57:62:66 SD: 3.1725 cents 38:42:48:52:56:65:72:76 SD: 2.6429 cents 41:45:52:56:61:70:77:82 SD: 2.1401 cents 49:54:62:67:73:84:93:98 SD: 1.9489 cents 52:57:66:71:77:89:98:104 SD: 1.5087 cents 60:66:76:82:89:103:113:120 SD: 0.9350 cents 89:98:113:121:132:153:168:178 SD: 0.8879 cents 99:109:126:135:147:170:187:198 SD: 0.8401 cents 108:119:137:147:160:185:204:216 SD: 0.7745 cents 116:128:147:158:172:199:219:232 SD: 0.6594 cents 126:139:160:172:187:216:238:252 SD: 0.6309 cents 149:164:189:203:221:256:281:298 SD: 0.4663 cents 168:185:213:229:249:288:317:336 SD: 0.4308 cents 190:209:241:259:282:326:359:380 SD: 0.3931 cents 198:218:251:270:294:340:374:396 SD: 0.3539 cents 250:275:317:341:371:429:472:500 SD: 0.3273 cents 256:282:325:349:380:439:483:512 SD: 0.3221 cents 267:294:339:364:396:458:504:534 SD: 0.2503 cents 275:303:349:375:408:472:519:550 SD: 0.1628 cents 465:512:590:634:690:798:878:930 SD: 0.0928 cents 525:578:666:716:779:901:991:1050 SD: 0.0839 cents