Scala analysis: Indonesia_Gam_GPH_Tejakusuma_Yogya
Gam. GPH Tejakusuma Yogya (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: 117.000 cents 117.000000 2: 258.000 cents 258.000000 3: 541.000 cents 541.000000 4: 673.000 cents 673.000000 5: 761.000 cents 761.000000 6: 925.000 cents 925.000000 7: 1194.000 cents 1194.000000
SHOW/INTERVAL
0: 269.0000 cents 269.0000 1: 117.0000 cents 117.0000 2: 141.0000 cents 141.0000 3: 283.0000 cents 283.0000 4: 132.0000 cents 132.0000 5: 88.0000 cents 88.0000 6: 164.0000 cents 164.0000 7: 269.0000 cents 269.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.00000 cents 1: 1 117.00000 cents 1: 1 132.00000 cents 1: 1 141.00000 cents 1: 1 164.00000 cents 1: 1 269.00000 cents 1: 1 283.00000 cents 2: 1 220.00000 cents 2: 1 252.00000 cents 2: 1 258.00000 cents 2: 1 386.00000 cents 2: 1 415.00000 cents 2: 1 424.00000 cents 2: 1 433.00000 cents 3: 1 384.00000 cents 3: 1 503.00000 cents 3: 1 521.00000 cents 3: 1 527.00000 cents 3: 1 541.00000 cents 3: 1 550.00000 cents 3: 1 556.00000 cents 4: 1 638.00000 cents 4: 1 644.00000 cents 4: 1 653.00000 cents 4: 1 667.00000 cents 4: 1 673.00000 cents 4: 1 691.00000 cents 4: 1 810.00000 cents 5: 1 761.00000 cents 5: 1 770.00000 cents 5: 1 779.00000 cents 5: 1 808.00000 cents 5: 1 936.00000 cents 5: 1 942.00000 cents 5: 1 974.00000 cents 6: 1 911.00000 cents 6: 1 925.00000 cents 6: 1 1030.00000 cents 6: 1 1053.00000 cents 6: 1 1062.00000 cents 6: 1 1077.00000 cents 6: 1 1106.00000 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 : 117.0 258.0 541.0 673.0 761.0 925.0 1194.0 117.0 : 141.0 424.0 556.0 644.0 808.0 1077.0 1194.0 258.0 : 283.0 415.0 503.0 667.0 936.0 1053.0 1194.0 541.0 : 132.0 220.0 384.0 653.0 770.0 911.0 1194.0 673.0 : 88.0 252.0 521.0 638.0 779.0 1062.0 1194.0 761.0 : 164.0 433.0 550.0 691.0 974.0 1106.0 1194.0 925.0 : 269.0 386.0 527.0 810.0 942.0 1030.0 1194.0 1194.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.0000 .. 283.0000 cents 195.00000 cents 88.00000 cents 2: 220.0000 .. 433.0000 cents 213.00000 cents -63.00000 cents 3: 384.0000 .. 556.0000 cents 172.00000 cents -49.00000 cents 4: 638.0000 .. 810.0000 cents 172.00000 cents 82.00000 cents 5: 761.0000 .. 974.0000 cents 213.00000 cents -49.00000 cents 6: 911.0000 .. 1106.0000 cents 195.00000 cents -63.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.00000 cents, class 1 Average step (divided formal octave): 170.5714 cents Largest one step interval : 283.00000 cents Average / Smallest step : 1.938312 Largest / Average step : 1.659129 Largest / Smallest step : 3.215909 Median interval of one step : 141.00000 cents, amount: 1 Least squares average step : 161.86429 cents, oct.: 1133.05000 cents Scale is not proper Scale is a mode of a 1194-tone equal temperament with octave 1194.000 cents degrees: 117 258 541 673 761 925 1194 Least number of segments generator : 599 of 599.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 629 of 629.000 cents and inv. generated superset size: 381 = 374 more = 5442.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BDGCAEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.570288 Lumma stability : 0.216080 Lumma impropriety factor : 0.187605 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 : 2.00000 cents Number of recognisable fifths : 1, average 691.0000 cents Number of recognisable fourths : 1, average 503.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 213.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 0 2 1 0 1 2 N T3 SD: 57.1440 c. M: 87.4286 c. 8: 1 1 2 1 0 1 2 N T3 S SD: 41.8666 c. M:-73.2500 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 15.7566 c. M:-35.0000 c. Pseudo Pelog, Pelogic-7, Antiionian 13: 1 2 3 1 1 2 3 N SD: 19.5568 c. M: 30.0769 c. 14: 1 2 3 2 1 2 3 P T3 SD: 17.6076 c. M: 31.7143 c. Superpelog-Pelog 17: 2 2 4 2 1 2 4 N T3 S SD: 19.4632 c. M:-29.3529 c. 18: 2 2 4 2 1 3 4 N SD: 14.6125 c. M: 31.3333 c. 19: 2 2 5 2 1 3 4 N SD: 14.2201 c. M:-24.5789 c. 22: 2 3 5 2 2 3 5 N SD: 10.2268 c. M: 21.7273 c. 25: 2 3 6 3 2 3 6 N T3 SD: 14.2026 c. M: 21.4800 c. 27: 3 3 6 3 2 4 6 N SD: 9.2423 c. M:-15.6667 c. 28: 3 3 7 3 2 4 6 N SD: 9.2935 c. M:-13.3571 c. 31: 3 4 7 3 3 4 7 N SD: 8.9409 c. M: 18.2258 c. 33: 3 4 8 4 2 5 7 N SD: 8.9001 c. M:-15.7273 c. 36: 4 4 8 4 3 5 8 N SD: 8.5878 c. M:-15.6667 c. 37: 4 4 9 4 3 5 8 N SD: 8.6591 c. M:-13.4865 c. 39: 4 4 10 4 3 5 9 N SD: 7.2175 c. M: 13.0769 c. 41: 4 5 10 4 3 6 9 N SD: 5.8710 c. M:-12.3171 c. 45: 4 6 10 5 4 6 10 N SD: 8.0818 c. M: 10.8667 c. 46: 5 5 11 5 3 7 10 N SD: 7.0031 c. M:-12.7826 c. 48: 5 5 12 5 4 6 11 N SD: 6.5988 c. M:-10.1250 c. 49: 5 6 11 6 3 7 11 N SD: 6.1765 c. M:-10.0408 c. 50: 5 6 12 5 4 7 11 N SD: 4.8476 c. M:-8.2400 c. 53: 5 6 13 6 4 7 12 N SD: 4.7426 c. M: 10.1887 c. 55: 5 7 13 6 4 8 12 N SD: 4.6942 c. M:-8.4909 c. 59: 6 7 14 6 5 8 13 N SD: 5.3538 c. M:-8.0169 c. 60: 6 7 14 7 4 8 14 N SD: 4.5997 c. M: 9.6000 c. 61: 6 7 15 6 5 8 14 N SD: 4.6254 c. M: 7.4918 c. 64: 6 8 15 7 5 9 14 N SD: 4.0351 c. M:-7.8125 c. 66: 6 8 16 7 5 9 15 N SD: 4.0886 c. M: 8.4545 c. 69: 7 8 16 8 5 9 16 N SD: 3.8901 c. M: 7.8696 c. 71: 7 8 17 8 5 10 16 N SD: 2.9227 c. M: 5.7465 c. 75: 7 9 18 8 6 10 17 N SD: 3.2389 c. M: 5.5600 c. 80: 8 9 19 9 6 11 18 N SD: 2.3836 c. M: 4.2750 c. 93: 9 11 22 10 7 13 21 N SD: 2.6327 c. M: 5.3871 c. 101: 10 12 24 11 7 14 23 N SD: 2.4551 c. M: 4.4059 c. 102: 10 12 24 11 8 14 23 N SD: 2.3882 c. M: 5.7647 c. 103: 10 12 25 11 8 14 23 N SD: 2.6044 c. M:-4.0874 c. 110: 11 13 26 12 8 15 25 N SD: 1.7737 c. M:-2.5091 c. 121: 12 14 29 13 9 17 27 N SD: 1.6483 c. M:-2.5702 c. 124: 12 15 29 14 9 17 28 N SD: 1.2378 c. M:-1.9839 c. 152: 15 18 36 17 11 21 34 N SD: 1.4313 c. M:-2.5526 c. 163: 16 19 39 18 12 22 37 N SD: 1.1598 c. M: 2.0307 c. 190: 19 22 45 21 14 26 43 N SD: 1.0956 c. M:-2.4000 c. 204: 20 24 48 23 15 28 46 N SD: 0.9783 c. M: 2.5294 c. 216: 21 26 51 24 16 29 49 N SD: 1.3823 c. M: 1.8611 c. 217: 21 26 51 24 16 30 49 N SD: 1.2975 c. M: 1.7742 c. 218: 21 26 52 24 16 30 49 N SD: 0.9798 c. M: 1.9817 c. 223: 22 26 53 25 16 31 50 N SD: 0.9627 c. M:-1.6368 c. 227: 22 27 54 25 17 31 51 N SD: 0.9087 c. M:-1.6872 c. 232: 23 27 55 26 17 32 52 N SD: 0.9651 c. M:-1.3793 c. 236: 23 28 56 26 17 33 53 N SD: 0.9014 c. M: 2.1017 c. 245: 24 29 58 27 18 34 55 N SD: 0.5026 c. M:-0.9592 c. 325: 32 38 77 36 24 45 73 N SD: 0.6855 c. M: 0.9446 c. 328: 32 39 78 36 24 45 74 N SD: 0.6322 c. M:-1.3963 c. 337: 33 40 80 37 25 46 76 N SD: 0.5679 c. M:-1.0831 c. 369: 36 44 87 41 27 51 83 N SD: 0.5260 c. M:-0.8618 c. 408: 40 48 97 45 30 56 92 N SD: 0.2562 c. M: 0.4706 c. 532: 52 63 126 59 39 73 120 N SD: 0.2184 c. M: 0.3233 c. 653: 64 77 155 72 48 90 147 N SD: 0.1964 c. M: 0.3507 c. 662: 65 78 157 73 49 91 149 N SD: 0.1755 c. M:-0.2598 c. 777: 76 92 184 86 57 107 175 N SD: 0.1725 c. M: 0.3436 c. 786: 77 93 186 87 58 108 177 N SD: 0.1330 c. M:-0.2443 c. 949: 93 112 225 105 70 130 214 N SD: 0.1298 c. M: 0.2476 c. 1070: 105 126 254 118 79 147 241 N SD: 0.1435 c. M: 0.2299 c. 1185: 116 140 281 131 87 163 267 N SD: 0.1197 c. M: 0.2658 c. 1194: 117 141 283 132 88 164 269 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 6.0000 cents 2 x x x 3 x x 4 S SD: 14.7851 cents 3 x x 4 x x 5:6 S SD: 19.8126 cents 4 x 5 x 6 x 7:8 S SD: 34.6947 cents 5 x 6:7 x 8:9:10 S SD: 25.6372 cents 6 x 7:8:9 x 10:12 S SD: 13.3416 cents 7 x 8 x 10:11:12:14 S SD: 13.2140 cents 8 x 9:11:12 x 14:16 SD: 15.2673 cents 9:10 x 12:13:14:15:18 S SD: 15.9422 cents 10:11:12:14:15:16:17:20 SD: 15.0108 cents 11:12:13:15:16:17:19:22 SD: 8.1475 cents 13:14:15:18:19:20:22:26 SD: 5.4580 cents 24:26:28:33:35:37:41:48 SD: 4.9866 cents 25:27:29:34:37:39:43:50 SD: 3.7253 cents 27:29:31:37:40:42:46:54 SD: 3.2987 cents 31:33:36:42:46:48:53:62 SD: 3.1291 cents 38:41:44:52:56:59:65:76 SD: 2.4385 cents 44:47:51:60:65:68:75:88 SD: 1.6268 cents 69:74:80:94:102:107:118:138 SD: 1.5688 cents 74:79:86:101:109:115:126:147 SD: 1.2996 cents 82:88:95:112:121:127:140:163 SD: 1.2406 cents 87:93:101:119:128:135:148:173 SD: 1.1733 cents 98:105:114:134:145:152:167:195 SD: 1.1314 cents 99:106:115:135:146:154:169:197 SD: 0.9448 cents 101:108:117:138:149:157:172:201 SD: 0.8823 cents 112:120:130:153:165:174:191:223 SD: 0.6177 cents 143:153:166:195:211:222:244:285 SD: 0.5868 cents 156:167:181:213:230:242:266:311 SD: 0.3976 cents 242:259:281:331:357:376:413:482 SD: 0.3823 cents 259:277:301:354:382:402:442:516 SD: 0.3454 cents 272:291:316:372:401:422:464:542 SD: 0.3284 cents 273:292:317:373:403:424:466:544 SD: 0.3145 cents 286:306:332:391:422:444:488:570 SD: 0.1128 cents 442:473:513:604:652:686:754:881 SD: 0.0958 cents