Scala analysis: Indonesia_Kadukmanis
Kadukmanis (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: 142.000 cents 142.000000 2: 253.000 cents 253.000000 3: 570.000 cents 570.000000 4: 669.000 cents 669.000000 5: 801.000 cents 801.000000 6: 975.000 cents 975.000000 7: 1232.000 cents 1232.000000
SHOW/INTERVAL
0: 257.0000 cents 257.0000 1: 142.0000 cents 142.0000 2: 111.0000 cents 111.0000 3: 317.0000 cents 317.0000 4: 99.0000 cents 99.0000 5: 132.0000 cents 132.0000 6: 174.0000 cents 174.0000 7: 257.0000 cents 257.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 99.00000 cents 1: 1 111.00000 cents 1: 1 132.00000 cents 1: 1 142.00000 cents 1: 1 174.00000 cents 1: 1 257.00000 cents 1: 1 317.00000 cents 2: 1 231.00000 cents 2: 1 253.00000 cents 2: 1 306.00000 cents 2: 1 399.00000 cents 2: 1 416.00000 cents 2: 1 428.00000 cents 2: 1 431.00000 cents 3: 1 405.00000 cents 3: 1 510.00000 cents 3: 1 527.00000 cents 3: 1 548.00000 cents 3: 1 563.00000 cents 3: 1 570.00000 cents 3: 1 573.00000 cents 4: 1 659.00000 cents 4: 1 662.00000 cents 4: 1 669.00000 cents 4: 1 684.00000 cents 4: 1 705.00000 cents 4: 1 722.00000 cents 4: 1 827.00000 cents 5: 1 801.00000 cents 5: 1 804.00000 cents 5: 1 816.00000 cents 5: 1 833.00000 cents 5: 1 926.00000 cents 5: 1 979.00000 cents 5: 1 1001.00000 cents 6: 1 915.00000 cents 6: 1 975.00000 cents 6: 1 1058.00000 cents 6: 1 1090.00000 cents 6: 1 1100.00000 cents 6: 1 1121.00000 cents 6: 1 1133.00000 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 : 142.0 253.0 570.0 669.0 801.0 975.0 1232.0 142.0 : 111.0 428.0 527.0 659.0 833.0 1090.0 1232.0 253.0 : 317.0 416.0 548.0 722.0 979.0 1121.0 1232.0 570.0 : 99.0 231.0 405.0 662.0 804.0 915.0 1232.0 669.0 : 132.0 306.0 563.0 705.0 816.0 1133.0 1232.0 801.0 : 174.0 431.0 573.0 684.0 1001.0 1100.0 1232.0 975.0 : 257.0 399.0 510.0 827.0 926.0 1058.0 1232.0 1232.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 99.0000 .. 317.0000 cents 218.00000 cents 99.00000 cents 2: 231.0000 .. 431.0000 cents 200.00000 cents -86.00000 cents 3: 405.0000 .. 573.0000 cents 168.00000 cents -26.00000 cents 4: 659.0000 .. 827.0000 cents 168.00000 cents 86.00000 cents 5: 801.0000 .. 1001.0000 cents 200.00000 cents -26.00000 cents 6: 915.0000 .. 1133.0000 cents 218.00000 cents -86.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 99.00000 cents, class 1 Average step (divided formal octave): 176.0000 cents Largest one step interval : 317.00000 cents Average / Smallest step : 1.777778 Largest / Average step : 1.801136 Largest / Smallest step : 3.202020 Median interval of one step : 142.00000 cents, amount: 1 Least squares average step : 167.95000 cents, oct.: 1175.65000 cents Scale is not proper Scale is a mode of a 1232-tone equal temperament with octave 1232.000 cents degrees: 142 253 570 669 801 975 1232 Least number of segments generator : 617 of 617.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1095 of 1095.000 cents and inv. generated superset size: 390 = 383 more = 5571.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DBGACEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.00000 cents Scale diversity : 1.518101 Lumma stability : 0.230519 Lumma impropriety factor : 0.181818 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 : 3.00000 cents Number of recognisable fifths : 1, average 705.0000 cents Number of recognisable fourths : 1, average 510.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 97.2273 c. M: 142.0000 c. 8: 1 1 2 0 1 1 2 N T3 SD: 40.8062 c. M:-55.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 16.4537 c. M: 22.4444 c. Pseudo Pelog, Pelogic-7, Antiionian 15: 2 1 4 1 2 2 3 N SD: 13.2660 c. M:-22.2667 c. 20: 2 2 5 2 2 3 4 N SD: 10.8675 c. M: 18.8000 c. 24: 3 2 6 2 3 3 5 N SD: 9.2753 c. M:-20.3333 c. 28: 3 3 7 2 3 4 6 N SD: 7.8921 c. M:-11.0000 c. 34: 4 3 9 2 4 5 7 N SD: 7.6657 c. M: 16.7647 c. 35: 4 3 9 3 4 5 7 N SD: 6.2974 c. M:-10.6000 c. 43: 5 4 11 3 5 6 9 N SD: 4.4250 c. M: 10.0233 c. 49: 6 4 13 4 5 7 10 N SD: 6.4424 c. M:-9.8571 c. 52: 6 5 13 4 6 7 11 N SD: 4.2281 c. M:-7.6154 c. 54: 6 5 14 4 6 8 11 N SD: 4.2651 c. M: 7.3704 c. 62: 7 6 16 5 6 9 13 N SD: 4.7714 c. M:-6.6129 c. 63: 7 6 16 5 7 9 13 N SD: 2.9565 c. M: 5.1111 c. 77: 9 7 20 6 8 11 16 N SD: 2.9277 c. M:-6.0000 c. 86: 10 8 22 7 9 12 18 N SD: 2.8059 c. M:-4.8605 c. 97: 11 9 25 8 10 14 20 N SD: 2.2522 c. M:-4.1546 c. 111: 13 10 28 9 12 16 23 N SD: 2.4427 c. M: 3.9459 c. 112: 13 10 29 9 12 16 23 N SD: 2.0354 c. M:-4.0000 c. 121: 14 11 31 10 13 17 25 N SD: 2.0374 c. M:-3.3636 c. 123: 14 11 32 10 13 17 26 N SD: 1.9602 c. M: 3.4228 c. 138: 16 12 36 11 15 19 29 N SD: 1.7649 c. M: 3.0290 c. 140: 16 13 36 11 15 20 29 N SD: 1.3939 c. M:-2.2000 c. 164: 19 15 42 13 18 23 34 N SD: 1.5936 c. M:-2.8049 c. 166: 19 15 43 13 18 23 35 N SD: 1.3406 c. M: 2.7590 c. 181: 21 16 47 14 20 25 38 N SD: 1.5398 c. M:-2.1823 c. 182: 21 16 47 15 19 26 38 N SD: 1.4514 c. M: 2.5385 c. 186: 21 17 48 15 20 26 39 N SD: 1.3212 c. M: 2.9032 c. 201: 23 18 52 16 22 28 42 N SD: 1.1156 c. M:-1.9453 c. 206: 24 18 53 17 22 29 43 N SD: 1.1904 c. M: 1.8447 c. 210: 24 19 54 17 22 30 44 N SD: 1.4138 c. M: 3.1333 c. 214: 25 19 55 17 23 30 45 N SD: 1.2001 c. M: 2.0654 c. 225: 26 20 58 18 24 32 47 N SD: 0.8653 c. M: 1.5689 c. 234: 27 21 60 19 25 33 49 N SD: 0.7208 c. M: 1.3846 c. 311: 36 28 80 25 33 44 65 N SD: 0.5283 c. M: 0.7942 c. 346: 40 31 89 28 37 49 72 N SD: 0.3571 c. M:-0.6301 c. 512: 59 46 132 41 55 72 107 N SD: 0.2675 c. M: 0.4687 c. 657: 76 59 169 53 70 93 137 N SD: 0.2886 c. M:-0.5145 c. 711: 82 64 183 57 76 101 148 N SD: 0.2806 c. M:-0.5499 c. 720: 83 65 185 58 77 102 150 N SD: 0.1902 c. M:-0.3333 c. 843: 97 76 217 68 90 119 176 N SD: 0.1954 c. M:-0.3428 c. 858: 99 77 221 69 92 121 179 N SD: 0.1587 c. M: 0.2821 c. 886: 102 80 228 71 95 125 185 N SD: 0.1395 c. M: 0.2460 c. 1223: 141 110 315 98 131 173 255 N SD: 0.1211 c. M:-0.1652 c. 1232: 142 111 317 99 132 174 257 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 32.0000 cents 2 x x x 3 x x 4 S SD: 22.9675 cents 3 x x 4 x 5 x 6 S SD: 38.2248 cents 4 x 5 x 6 x 7:8 S SD: 35.2852 cents 5 x 6:7 x 8:9:10 S SD: 16.8284 cents 6 x 7:8:9:10:11:12 S SD: 23.5457 cents 7 x 8:10 x 11:12:14 S SD: 15.2986 cents 8 x 9:11:12:13:14:16 SD: 13.4055 cents 9:10 x x 13:14:16:18 SD: 14.7674 cents 10:11:12:14:15:16:18:20 S SD: 13.3211 cents 11:12:13:15:16:17:19:22 SD: 11.9418 cents 12:13:14:17:18:19:21:24 SD: 8.4164 cents 13:14:15:18:19:21:23:26 SD: 7.0650 cents 19:21:22:26:28:30:33:39 SD: 6.9330 cents 20:22:23:28:29:32:35:41 SD: 6.0349 cents 21:23:24:29:31:33:37:43 SD: 5.1890 cents 24:26:28:33:35:38:42:49 SD: 4.2491 cents 25:27:29:35:37:40:44:51 SD: 3.2674 cents 34:37:39:47:50:54:60:69 SD: 3.0775 cents 36:39:42:50:53:57:63:73 SD: 2.6335 cents 44:48:51:61:65:70:77:90 SD: 2.2006 cents 46:50:53:64:68:73:81:94 SD: 1.9066 cents 49:53:57:68:72:78:86:100 SD: 1.7792 cents 57:62:66:79:84:91:100:116 SD: 1.6223 cents 70:76:81:97:103:111:123:143 SD: 1.0959 cents 82:89:95:114:121:130:144:167 SD: 0.8452 cents 95:103:110:132:140:151:167:194 SD: 0.7975 cents 128:139:148:178:188:203:225:261 SD: 0.7501 cents 139:151:161:193:205:221:244:283 SD: 0.7182 cents 140:152:162:195:206:222:246:285 SD: 0.7058 cents 151:164:175:210:222:240:265:308 SD: 0.6063 cents 153:166:177:213:225:243:269:312 SD: 0.5879 cents 165:179:191:229:243:262:290:336 SD: 0.4861 cents 185:201:214:257:272:294:325:377 SD: 0.4153 cents 197:214:228:274:290:313:346:401 SD: 0.3459 cents 246:267:285:342:362:391:432:501 SD: 0.3266 cents 267:290:309:371:393:424:469:544 SD: 0.1829 cents 456:495:528:634:671:724:801:929 SD: 0.1776 cents 503:546:582:699:740:799:883:1025 SD: 0.1744 cents 513:557:594:713:755:815:901:1045 SD: 0.1495 cents 585:635:677:813:861:929:1027:1192 SD: 0.1200 cents