Scala analysis: Myanmar_Patala
Patala (Pattala), Myanmar
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.000 cents 176.000000 2: 350.000 cents 350.000000 3: 533.000 cents 533.000000 4: 707.000 cents 707.000000 5: 899.000 cents 899.000000 6: 1053.000 cents 1053.000000 7: 1246.000 cents 1246.000000
SHOW/INTERVAL
0: 193.0000 cents 193.0000 1: 176.0000 cents 176.0000 2: 174.0000 cents 174.0000 3: 183.0000 cents 183.0000 4: 174.0000 cents 174.0000 5: 192.0000 cents 192.0000 6: 154.0000 cents 154.0000 7: 193.0000 cents 193.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 154.00000 cents 1: 2 174.00000 cents 1: 1 176.00000 cents 1: 1 183.00000 cents 1: 1 192.00000 cents 1: 1 193.00000 cents 2: 1 346.00000 cents 2: 1 347.00000 cents 2: 1 350.00000 cents 2: 2 357.00000 cents 2: 1 366.00000 cents 2: 1 369.00000 cents 3: 1 520.00000 cents 3: 1 523.00000 cents 3: 1 531.00000 cents 3: 1 533.00000 cents 3: 1 539.00000 cents 3: 1 543.00000 cents 3: 1 549.00000 cents 4: 1 697.00000 cents 4: 1 703.00000 cents 4: 1 707.00000 cents 4: 1 713.00000 cents 4: 1 715.00000 cents 4: 1 723.00000 cents 4: 1 726.00000 cents 5: 1 877.00000 cents 5: 1 880.00000 cents 5: 2 889.00000 cents 5: 1 896.00000 cents 5: 1 899.00000 cents 5: 1 900.00000 cents 6: 1 1053.00000 cents 6: 1 1054.00000 cents 6: 1 1063.00000 cents 6: 1 1070.00000 cents 6: 2 1072.00000 cents 6: 1 1092.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 176.0 350.0 533.0 707.0 899.0 1053.0 1246.0 176.0 : 174.0 357.0 531.0 723.0 877.0 1070.0 1246.0 350.0 : 183.0 357.0 549.0 703.0 896.0 1072.0 1246.0 533.0 : 174.0 366.0 520.0 713.0 889.0 1063.0 1246.0 707.0 : 192.0 346.0 539.0 715.0 889.0 1072.0 1246.0 899.0 : 154.0 347.0 523.0 697.0 880.0 1054.0 1246.0 1053.0: 193.0 369.0 543.0 726.0 900.0 1092.0 1246.0 1246.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 154.0000 .. 193.0000 cents 39.00000 cents 154.00000 cents 2: 346.0000 .. 369.0000 cents 23.00000 cents 153.00000 cents 3: 520.0000 .. 549.0000 cents 29.00000 cents 151.00000 cents 4: 697.0000 .. 726.0000 cents 29.00000 cents 148.00000 cents 5: 877.0000 .. 900.0000 cents 23.00000 cents 151.00000 cents 6: 1053.0000 .. 1092.0000 cents 39.00000 cents 153.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 154.00000 cents, class 1 Average step (divided formal octave): 178.0000 cents Largest one step interval : 193.00000 cents Average / Smallest step : 1.155844 Largest / Average step : 1.084270 Largest / Smallest step : 1.253247 Median interval of one step : 176.00000 cents, amount: 1 Most common interval of one step : 174.00000 cents, amount: 2 Least squares average step : 177.41429 cents, oct.: 1241.90000 cents Scale is strictly proper Scale is a mode of a 1246-tone equal temperament with octave 1246.000 cents degrees: 176 350 533 707 899 1053 1246 Least number of segments generator : 625 of 625.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 821 of 821.000 cents and inv. generated superset size: 295 = 288 more = 4214.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBDEF Step pattern size order : CBDBEAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 148.00000 cents Scale diversity : 1.106011 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.853933 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 5, average 707.0000 cents Number of appreciable fifths : 4, average 705.0000 cents Number of recognisable fourths : 0 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 39.0000 cents: 1 2 3 4 5 Limited inverse transpositions with margin 39.0000 cents: 1 2 3 4 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 7.2899 c. M:-15.0000 c. Lebeng 33: 5 4 5 5 5 4 5 SP M ME I SD: 8.1404 c. M:-12.7879 c. 36: 5 5 5 5 6 4 6 SP D3 S SD: 9.6321 c. M: 14.7778 c. 37: 5 5 6 5 6 4 6 SP D3 SD: 8.0549 c. M: 13.2432 c. 39: 6 5 6 5 6 5 6 SP M ME I SD: 7.4577 c. M:-15.6923 c. 40: 6 5 6 6 6 5 6 SP M ME I SD: 6.8678 c. M:-10.9000 c. 43: 6 6 6 6 7 5 7 SP D3 S SD: 7.2805 c. M: 11.5581 c. 44: 6 6 7 6 7 5 7 SP D3 SD: 5.9286 c. M: 10.1818 c. 47: 7 6 7 7 7 6 7 SP M ME I SD: 6.1658 c. M:-9.5745 c. 49: 7 7 7 7 7 6 8 SP T3 SD: 6.0445 c. M: 10.4286 c. 50: 7 7 7 7 8 6 8 SP D3 S SD: 5.6915 c. M: 9.6800 c. 51: 7 7 8 7 8 6 8 SP D3 SD: 4.4918 c. M: 7.9608 c. 57: 8 8 8 8 9 7 9 SP D3 S SD: 4.6140 c. M: 8.3684 c. 58: 8 8 9 8 9 7 9 SP D3 SD: 3.5385 c. M: 6.2759 c. 64: 9 9 9 9 10 8 10 SP D3 S SD: 3.9081 c. M: 7.3437 c. 65: 9 9 10 9 10 8 10 SP D3 SD: 2.9580 c. M: 4.9538 c. 71: 10 10 10 10 11 9 11 SP D3 S SD: 3.4831 c. M: 6.5211 c. 72: 10 10 11 10 11 9 11 SP D3 SD: 2.6724 c. M: 3.8889 c. 79: 11 11 12 11 12 10 12 SP D3 SD: 2.6030 c. M:-3.7342 c. 108: 15 15 16 15 17 13 17 SP SD: 2.6767 c. M: 3.8889 c. 114: 16 16 17 16 17 14 18 SP SD: 2.4277 c. M: 3.7368 c. 115: 16 16 17 16 18 14 18 SP SD: 2.1998 c. M: 3.2870 c. 122: 17 17 18 17 19 15 19 SP SD: 1.8261 c. M: 2.7541 c. 129: 18 18 19 18 20 16 20 SP SD: 1.5596 c. M: 2.2791 c. 136: 19 19 20 19 21 17 21 SP SD: 1.4053 c. M: 1.9265 c. 143: 20 20 21 20 22 18 22 SP SD: 1.3594 c. M: 1.7343 c. 199: 28 28 29 28 31 24 31 SP SD: 1.1885 c. M:-2.6281 c. 206: 29 29 30 29 32 25 32 SP SD: 1.0212 c. M:-2.2330 c. 213: 30 30 31 30 33 26 33 SP SD: 0.9127 c. M:-1.8638 c. 218: 31 30 32 31 33 27 34 SP SD: 1.3535 c. M:-1.7339 c. 220: 31 31 32 31 34 27 34 SP SD: 0.8688 c. M:-1.5182 c. 227: 32 32 33 32 35 28 35 SP SD: 0.8863 c. M:-1.2952 c. 252: 36 35 37 35 39 31 39 SP SD: 0.9954 c. M:-2.0000 c. 259: 37 36 38 36 40 32 40 SP SD: 1.0113 c. M:-2.0000 c. 278: 39 39 41 39 43 34 43 SP SD: 0.9787 c. M:-1.8849 c. 284: 40 40 41 40 44 35 44 SP SD: 0.9529 c. M: 2.1338 c. 285: 40 40 42 40 44 35 44 SP SD: 0.9297 c. M:-1.6175 c. 291: 41 41 42 41 45 36 45 SP SD: 0.9296 c. M: 2.0584 c. 292: 41 41 43 41 45 36 45 SP SD: 0.9164 c. M:-1.3630 c. 309: 44 43 45 43 48 38 48 SP SD: 0.8753 c. M:-1.4239 c. 310: 44 43 46 43 48 38 48 SP SD: 0.8666 c. M:-1.5742 c. 316: 45 44 46 44 49 39 49 SP SD: 0.8350 c. M:-1.4367 c. 317: 45 44 47 44 49 39 49 SP SD: 0.8352 c. M:-1.5615 c. 323: 46 45 47 45 50 40 50 SP SD: 0.8267 c. M:-1.4489 c. 324: 46 45 48 45 50 40 50 SP SD: 0.8352 c. M:-1.5494 c. 331: 47 46 49 46 51 41 51 SP SD: 0.8629 c. M:-1.5378 c. 335: 47 47 49 47 52 41 52 SP SD: 0.7824 c. M: 1.1881 c. 342: 48 48 50 48 53 42 53 SP SD: 0.6900 c. M: 1.1228 c. 349: 49 49 51 49 54 43 54 SP SD: 0.6269 c. M: 1.0602 c. 356: 50 50 52 50 55 44 55 SP SD: 0.5976 c. M: 1.0000 c. 360: 51 50 53 50 56 44 56 SP SD: 0.6310 c. M: 0.9333 c. 363: 51 51 53 51 56 45 56 SP SD: 0.6027 c. M: 0.9614 c. 367: 52 51 54 51 57 45 57 SP SD: 0.5106 c. M: 0.8202 c. 374: 53 52 55 52 58 46 58 SP SD: 0.4128 c. M: 0.7112 c. 381: 54 53 56 53 59 47 59 SP SD: 0.3497 c. M: 0.6063 c. 388: 55 54 57 54 60 48 60 SP SD: 0.3349 c. M:-0.6237 c. 601: 85 84 88 84 93 74 93 SP SD: 0.3503 c. M:-0.7737 c. 608: 86 85 89 85 94 75 94 SP SD: 0.3482 c. M:-0.6612 c. 615: 87 86 90 86 95 76 95 SP SD: 0.3654 c. M:-0.5512 c. 631: 89 88 93 88 97 78 98 SP SD: 0.3561 c. M: 0.5372 c. 638: 90 89 94 89 98 79 99 SP SD: 0.3318 c. M: 0.6301 c. 645: 91 90 95 90 99 80 100 SP SD: 0.3264 c. M: 0.7209 c. 715: 101 100 105 100 110 88 111 SP SD: 0.3029 c. M:-0.5189 c. 722: 102 101 106 101 111 89 112 SP SD: 0.2902 c. M:-0.5623 c. 729: 103 102 107 102 112 90 113 SP SD: 0.2946 c. M:-0.6049 c. 730: 103 102 107 102 113 90 113 SP SD: 0.3093 c. M:-0.5096 c. 737: 104 103 108 103 114 91 114 SP SD: 0.2875 c. M: 0.4491 c. 744: 105 104 109 104 115 92 115 SP SD: 0.2821 c. M: 0.4355 c. 779: 110 109 114 109 120 96 121 SP SD: 0.2729 c. M: 0.5379 c. 786: 111 110 115 110 121 97 122 SP SD: 0.2487 c. M: 0.3995 c. 793: 112 111 116 111 122 98 123 SP SD: 0.2406 c. M:-0.3884 c. 837: 118 117 123 117 129 103 130 SP SD: 0.2549 c. M: 0.5245 c. 844: 119 118 124 118 130 104 131 SP SD: 0.2078 c. M: 0.3957 c. 851: 120 119 125 119 131 105 132 SP SD: 0.1712 c. M: 0.3008 c. 858: 121 120 126 120 132 106 133 SP SD: 0.1515 c. M: 0.2821 c. 865: 122 121 127 121 133 107 134 SP SD: 0.1540 c. M:-0.2671 c. 1096: 155 153 161 153 169 135 170 SP SD: 0.1919 c. M: 0.2664 c. 1103: 156 154 162 154 170 136 171 SP SD: 0.1762 c. M:-0.2248 c. 1110: 157 155 163 155 171 137 172 SP SD: 0.1722 c. M:-0.2360 c. 1117: 158 156 164 156 172 138 173 SP SD: 0.1801 c. M:-0.2632 c. 1167: 165 163 171 163 180 144 181 SP SD: 0.1762 c. M: 0.2528 c. 1174: 166 164 172 164 181 145 182 SP SD: 0.1639 c. M:-0.2385 c. 1181: 167 165 173 165 182 146 183 SP SD: 0.1628 c. M:-0.2727 c. 1225: 173 171 180 171 189 151 190 SP SD: 0.1250 c. M: 0.2571 c. 1232: 174 172 181 172 190 152 191 SP SD: 0.0828 c. M: 0.1705 c. 1239: 175 173 182 173 191 153 192 SP SD: 0.0412 c. M: 0.0847 c. 1246: 176 174 183 174 192 154 193 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 46.0000 cents 2 x x x 3 x x 4 S SD: 23.1379 cents 3 x x 4 x 5 x 6 S SD: 19.8668 cents 4 x 5 x 6:7 x 8 S SD: 22.8251 cents 5 x 6:7 x 8:9:10 S SD: 23.8996 cents 6 x 7:8:9:10:11:12 S SD: 17.0793 cents 8:9:10:11:12:13:15:16 SD: 13.7303 cents 10:11:12:14:15:17:18:21 SD: 11.8643 cents 12:13:15:16:18:20:22:25 SD: 9.9006 cents 16:18:20:22:24:27:29:33 SD: 7.9633 cents 17:19:21:23:26:29:31:35 SD: 6.8148 cents 18:20:22:24:27:30:33:37 SD: 5.5782 cents 19:21:23:26:29:32:35:39 SD: 4.8249 cents 22:24:27:30:33:37:40:45 SD: 4.6960 cents 26:29:32:35:39:44:48:53 SD: 4.5248 cents 28:31:34:38:42:47:51:58 SD: 3.7306 cents 31:34:38:42:47:52:57:64 SD: 3.4803 cents 35:39:43:48:53:59:64:72 SD: 3.4659 cents 36:40:44:49:54:61:66:74 SD: 2.4088 cents 44:49:54:60:66:74:81:90 SD: 2.1767 cents 50:55:61:68:75:84:92:103 SD: 2.0912 cents 53:59:65:72:80:89:97:109 SD: 2.0038 cents 55:61:67:75:83:92:101:113 SD: 1.9980 cents 56:62:69:76:84:94:103:115 SD: 1.9350 cents 63:70:77:86:95:106:116:129 SD: 1.7112 cents 66:73:81:90:99:111:121:136 SD: 1.5018 cents 67:74:82:91:101:113:123:138 SD: 1.4132 cents 72:80:88:98:108:121:132:148 SD: 1.3484 cents 75:83:92:102:113:126:138:154 SD: 0.7721 cents 103:114:126:140:155:173:189:212 SD: 0.7003 cents 111:123:136:151:167:187:204:228 SD: 0.6695 cents 147:163:180:200:221:247:270:302 SD: 0.4650 cents 178:197:218:242:268:299:327:366 SD: 0.4440 cents 188:208:230:256:283:316:345:386 SD: 0.4374 cents 197:218:241:268:296:331:362:405 SD: 0.4342 cents 214:237:262:291:322:360:393:440 SD: 0.3972 cents 222:246:272:302:334:373:408:456 SD: 0.3671 cents 244:270:299:332:367:410:448:501 SD: 0.3476 cents 263:291:322:358:396:442:483:540 SD: 0.3104 cents 272:301:333:370:409:457:500:559 SD: 0.2802 cents 317:351:388:431:477:533:582:651 SD: 0.2624 cents 335:371:410:456:504:563:615:688 SD: 0.2483 cents 357:395:437:486:537:600:656:733 SD: 0.2176 cents 375:415:459:510:564:630:689:770 SD: 0.1948 cents 410:454:502:558:617:689:753:842 SD: 0.1798 cents 411:455:503:559:618:691:755:844 SD: 0.1701 cents 460:509:563:626:692:773:845:945 SD: 0.1559 cents 486:538:595:661:731:817:893:998 SD: 0.1221 cents 571:632:699:777:859:960:1049:1173 SD: 0.1053 cents