Scala analysis: Indonesia_Pelog_Saih_Pitu_Gambang
Pelog Saih Pitu Gambang (Gambang), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 186.000 cents 186.000000 2: 320.000 cents 320.000000 3: 502.000 cents 502.000000 4: 707.000 cents 707.000000 5: 816.000 cents 816.000000 6: 996.000 cents 996.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.0000 cents 204.0000 1: 186.0000 cents 186.0000 2: 134.0000 cents 134.0000 3: 182.0000 cents 182.0000 4: 205.0000 cents 205.0000 5: 109.0000 cents 109.0000 6: 180.0000 cents 180.0000 7: 204.0000 cents 204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.00000 cents 1: 1 134.00000 cents 1: 1 180.00000 cents 1: 1 182.00000 cents 1: 1 186.00000 cents 1: 1 204.00000 cents 1: 1 205.00000 cents 2: 1 289.00000 cents 2: 1 314.00000 cents 2: 1 316.00000 cents 2: 1 320.00000 cents 2: 1 384.00000 cents 2: 1 387.00000 cents 2: 1 390.00000 cents 3: 1 493.00000 cents 3: 1 494.00000 cents 3: 1 496.00000 cents 3: 1 502.00000 cents 3: 1 521.00000 cents 3: 1 524.00000 cents 3: 1 570.00000 cents 4: 1 630.00000 cents 4: 1 676.00000 cents 4: 1 679.00000 cents 4: 1 698.00000 cents 4: 1 704.00000 cents 4: 1 706.00000 cents 4: 1 707.00000 cents 5: 1 810.00000 cents 5: 1 813.00000 cents 5: 1 816.00000 cents 5: 1 880.00000 cents 5: 1 884.00000 cents 5: 1 886.00000 cents 5: 1 911.00000 cents 6: 1 995.00000 cents 6: 1 996.00000 cents 6: 1 1014.00000 cents 6: 1 1018.00000 cents 6: 1 1020.00000 cents 6: 1 1066.00000 cents 6: 1 1091.00000 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 : 186.0 320.0 502.0 707.0 816.0 996.0 1200.0 186.0 : 134.0 316.0 521.0 630.0 810.0 1014.0 1200.0 320.0 : 182.0 387.0 496.0 676.0 880.0 1066.0 1200.0 502.0 : 205.0 314.0 494.0 698.0 884.0 1018.0 1200.0 707.0 : 109.0 289.0 493.0 679.0 813.0 995.0 1200.0 816.0 : 180.0 384.0 570.0 704.0 886.0 1091.0 1200.0 996.0 : 204.0 390.0 524.0 706.0 911.0 1020.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.0000 .. 205.0000 cents 96.00000 cents 109.00000 cents 2: 289.0000 .. 390.0000 cents 101.00000 cents 84.00000 cents 3: 493.0000 .. 570.0000 cents 77.00000 cents 103.00000 cents 4: 630.0000 .. 707.0000 cents 77.00000 cents 60.00000 cents 5: 810.0000 .. 911.0000 cents 101.00000 cents 103.00000 cents 6: 995.0000 .. 1091.0000 cents 96.00000 cents 84.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 205.00000 cents Average / Smallest step : 1.572739 Largest / Average step : 1.195833 Largest / Smallest step : 1.880734 Median interval of one step : 182.00000 cents, amount: 1 Least squares average step : 168.68571 cents, oct.: 1180.80000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 186 320 502 707 816 996 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 883 of 883.000 cents and inv. generated superset size: 284 = 277 more = 4057.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : EBDGACF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 60.00000 cents Scale diversity : 1.463746 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.543333 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 : 4, average 703.7500 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 : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.1792 c. M:-41.1429 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 11.4705 c. M: 20.0000 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 19: 3 2 3 3 2 3 3 SP M ME S SD: 7.8136 c. M:-14.5263 c. Nineteen-tone Natural Minor, Aeolian 31: 5 3 5 5 3 5 5 SP M DE S SD: 7.4492 c. M:-10.4516 c. Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian 34: 5 4 5 6 3 5 6 SP SD: 5.8304 c. M: 9.5294 c. 41: 6 5 6 7 4 6 7 SP SD: 4.8606 c. M: 10.3902 c. 46: 7 5 7 8 4 7 8 SP SD: 5.1078 c. M: 7.3043 c. 53: 8 6 8 9 5 8 9 SP SD: 3.2718 c. M: 5.1132 c. 71: 11 8 11 12 6 11 12 SP SD: 2.8951 c. M:-5.0423 c. 82: 13 9 12 14 8 12 14 SP SD: 3.2827 c. M: 4.5610 c. 83: 13 9 13 14 7 13 14 SP SD: 3.1344 c. M: 6.3614 c. 90: 14 10 14 15 8 14 15 SP SD: 2.5480 c. M:-4.6667 c. 98: 15 11 15 17 9 14 17 SP SD: 2.8059 c. M:-4.4082 c. 102: 16 11 16 17 9 16 17 SP SD: 2.9470 c. M: 4.2353 c. 105: 16 12 16 18 9 16 18 SP SD: 2.2965 c. M: 4.5714 c. 110: 17 12 17 19 10 16 19 SP SD: 2.1843 c. M: 3.6364 c. 112: 17 13 17 19 10 17 19 SP SD: 1.7941 c. M: 3.8571 c. 124: 19 14 19 21 11 19 21 SP SD: 1.5557 c. M: 3.0968 c. 131: 20 15 20 22 12 20 22 SP SD: 1.7270 c. M: 2.7939 c. 134: 21 15 20 23 12 20 23 SP SD: 1.4858 c. M:-2.3881 c. 141: 22 16 21 24 13 21 24 SP SD: 1.4450 c. M:-3.4043 c. 153: 24 17 23 26 14 23 26 SP SD: 1.1220 c. M:-2.2353 c. 187: 29 21 28 32 17 28 32 SP SD: 1.0005 c. M: 1.4652 c. 206: 32 23 31 35 19 31 35 SP SD: 0.9419 c. M: 2.1456 c. 241: 37 27 37 41 22 36 41 SP SD: 0.9326 c. M: 1.7676 c. 251: 39 28 38 43 23 37 43 SP SD: 0.8834 c. M: 1.5777 c. 263: 41 29 40 45 24 39 45 SP SD: 0.7429 c. M: 1.3232 c. 266: 41 30 40 46 24 40 45 SP SD: 0.8958 c. M:-1.2707 c. 270: 42 30 41 46 25 40 46 SP SD: 0.7524 c. M:-1.7778 c. 282: 44 31 43 48 26 42 48 SP SD: 0.7322 c. M:-1.2340 c. 304: 47 34 46 52 28 45 52 SP SD: 0.7325 c. M: 1.2632 c. 311: 48 35 47 53 28 47 53 SP SD: 0.8719 c. M: 1.8521 c. 316: 49 35 48 54 29 47 54 SP SD: 0.6927 c. M: 1.0633 c. 334: 52 37 51 57 30 50 57 SP SD: 0.6713 c. M:-0.9940 c. 341: 53 38 52 58 31 51 58 SP SD: 0.5500 c. M:-1.2258 c. 363: 56 41 55 62 33 54 62 SP SD: 0.6353 c. M: 0.9587 c. 375: 58 42 57 64 34 56 64 SP SD: 0.3780 c. M: 0.8000 c. 382: 59 43 58 65 35 57 65 SP SD: 0.4831 c. M:-0.7539 c. 387: 60 43 59 66 35 58 66 SP SD: 0.4077 c. M: 0.6512 c. 394: 61 44 60 67 36 59 67 SP SD: 0.2928 c. M:-0.5381 c. 581: 90 65 88 99 53 87 99 SP SD: 0.3151 c. M: 0.6317 c. 619: 96 69 94 106 56 93 105 SP SD: 0.2958 c. M:-0.5929 c. 631: 98 70 96 108 57 95 107 SP SD: 0.3558 c. M:-0.5135 c. 652: 101 73 99 111 59 98 111 SP SD: 0.3520 c. M: 0.6626 c. 653: 101 73 99 112 59 98 111 SP SD: 0.2867 c. M:-0.5038 c. 672: 104 75 102 115 61 101 114 SP SD: 0.2575 c. M:-0.4286 c. 794: 123 89 120 136 72 119 135 SP SD: 0.2198 c. M:-0.4030 c. 806: 125 90 122 138 73 121 137 SP SD: 0.1431 c. M: 0.2630 c. 1147: 178 128 174 196 104 172 195 SP SD: 0.1512 c. M:-0.2363 c. 1181: 183 132 179 202 107 177 201 SP SD: 0.1257 c. M: 0.2337 c. 1188: 184 133 180 203 108 178 202 SP SD: 0.1159 c. M:-0.2020 c. 1200: 186 134 182 205 109 180 204 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: 2.5225 cents 3 x x 4 x 5 x 6 S SD: 22.8243 cents 4 x 5 x 6 x 7:8 S SD: 17.9607 cents 5 x 6:7 x 8:9:10 S SD: 16.7009 cents 6 x 7:8:9:10:11:12 S SD: 16.9839 cents 7:8 x 9 x 11:12:14 SD: 21.5351 cents 8:9:10:11:12:13:14:16 S SD: 13.1832 cents 9:10:11:12 x 14:16:18 S SD: 9.7030 cents 10:11:12:13:15:16:18:20 SD: 8.1322 cents 15:17:18:20:23:24:27:30 SD: 7.1961 cents 18:20:22:24:27:29:32:36 SD: 4.2826 cents 26:29:31:35:39:42:46:52 SD: 3.7934 cents 30:33:36:40:45:48:53:60 SD: 3.5632 cents 33:37:40:44:50:53:59:66 SD: 3.4991 cents 35:39:42:47:53:56:62:70 SD: 2.3149 cents 44:49:53:59:66:70:78:88 SD: 2.1960 cents 45:50:54:60:68:72:80:90 SD: 1.5167 cents 63:70:76:84:95:101:112:126 SD: 1.1900 cents 80:89:96:107:120:128:142:160 SD: 1.1139 cents 89:99:107:119:134:143:158:178 SD: 0.8687 cents 98:109:118:131:147:157:174:196 SD: 0.8551 cents 113:126:136:151:170:181:201:226 SD: 0.4086 cents 202:225:243:270:304:324:359:404 SD: 0.3219 cents 246:274:296:329:370:394:437:492 SD: 0.2918 cents 256:285:308:342:385:410:455:512 SD: 0.1562 cents 369:411:444:493:555:591:656:738 SD: 0.1520 cents 458:510:551:612:689:734:814:916 SD: 0.0992 cents