Scala analysis: Thailand_Ranat_Thong
Ranat T'hong (Xylophone), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 340.000 cents 340.000000 3: 537.000 cents 537.000000 4: 699.000 cents 699.000000 5: 881.000 cents 881.000000 6: 1043.000 cents 1043.000000 7: 1207.000 cents 1207.000000
SHOW/INTERVAL
0: 164.0000 cents 164.0000 1: 200.0000 cents 200.0000 2: 140.0000 cents 140.0000 3: 197.0000 cents 197.0000 4: 162.0000 cents 162.0000 5: 182.0000 cents 182.0000 6: 162.0000 cents 162.0000 7: 164.0000 cents 164.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 140.00000 cents 1: 2 162.00000 cents 1: 1 164.00000 cents 1: 1 182.00000 cents 1: 1 197.00000 cents 1: 1 200.00000 cents 2: 1 326.00000 cents 2: 1 337.00000 cents 2: 1 340.00000 cents 2: 2 344.00000 cents 2: 1 359.00000 cents 2: 1 364.00000 cents 3: 1 499.00000 cents 3: 1 504.00000 cents 3: 1 506.00000 cents 3: 1 508.00000 cents 3: 1 526.00000 cents 3: 1 537.00000 cents 3: 1 541.00000 cents 4: 1 666.00000 cents 4: 1 670.00000 cents 4: 1 681.00000 cents 4: 1 699.00000 cents 4: 1 701.00000 cents 4: 1 703.00000 cents 4: 1 708.00000 cents 5: 1 843.00000 cents 5: 1 848.00000 cents 5: 2 863.00000 cents 5: 1 867.00000 cents 5: 1 870.00000 cents 5: 1 881.00000 cents 6: 1 1007.00000 cents 6: 1 1010.00000 cents 6: 1 1025.00000 cents 6: 1 1043.00000 cents 6: 2 1045.00000 cents 6: 1 1067.00000 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 : 200.0 340.0 537.0 699.0 881.0 1043.0 1207.0 200.0 : 140.0 337.0 499.0 681.0 843.0 1007.0 1207.0 340.0 : 197.0 359.0 541.0 703.0 867.0 1067.0 1207.0 537.0 : 162.0 344.0 506.0 670.0 870.0 1010.0 1207.0 699.0 : 182.0 344.0 508.0 708.0 848.0 1045.0 1207.0 881.0 : 162.0 326.0 526.0 666.0 863.0 1025.0 1207.0 1043.0: 164.0 364.0 504.0 701.0 863.0 1045.0 1207.0 1207.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 140.0000 .. 200.0000 cents 60.00000 cents 140.00000 cents 2: 326.0000 .. 364.0000 cents 38.00000 cents 126.00000 cents 3: 499.0000 .. 541.0000 cents 42.00000 cents 135.00000 cents 4: 666.0000 .. 708.0000 cents 42.00000 cents 125.00000 cents 5: 843.0000 .. 881.0000 cents 38.00000 cents 135.00000 cents 6: 1007.0000 .. 1067.0000 cents 60.00000 cents 126.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 140.00000 cents, class 1 Average step (divided formal octave): 172.4286 cents Largest one step interval : 200.00000 cents Average / Smallest step : 1.231633 Largest / Average step : 1.159901 Largest / Smallest step : 1.428571 Median interval of one step : 164.00000 cents, amount: 1 Most common interval of one step : 162.00000 cents, amount: 2 Least squares average step : 174.27857 cents, oct.: 1219.95000 cents Scale is strictly proper Scale is a mode of a 1207-tone equal temperament with octave 1207.000 cents degrees: 200 340 537 699 881 1043 1207 Least number of segments generator : 604 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 862 of 862.000 cents and inv. generated superset size: 228 = 221 more = 3257.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEDF Step pattern size order : FAEBDBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 125.00000 cents Scale diversity : 1.246121 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.768020 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 : 2.00000 cents Number of recognisable fifths : 4, average 702.7500 cents Number of recognisable fourths : 4, average 504.2500 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 60.0000 cents: 2 Limited inverse transpositions with margin 60.0000 cents: 1 3 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 15.5163 c. M: 27.5714 c. Lebeng 22: 4 2 4 3 3 3 3 SP D3 S SD: 10.9792 c. M:-19.4545 c. Gandhaara Grama (Narada der. sa-grama) 24: 4 3 4 3 4 3 3 SP M ME S SD: 13.0671 c. M:-24.2500 c. Neutral Hypolydian, Mohajira-7, Iced Lydian 29: 5 3 5 4 4 4 4 SP D3 S SD: 6.0889 c. M:-8.5517 c. 36: 6 4 6 5 5 5 5 SP D3 S SD: 4.6156 c. M: 9.2778 c. 43: 7 5 7 6 6 6 6 SP D3 S SD: 5.0757 c. M: 10.8372 c. 52: 9 6 8 7 8 7 7 SP SD: 4.8746 c. M:-8.9038 c. 59: 10 7 9 8 9 8 8 SP SD: 4.1609 c. M:-7.7797 c. 60: 10 7 10 8 9 8 8 SP SD: 3.6926 c. M:-6.1500 c. 67: 11 8 11 9 10 9 9 SP SD: 2.3839 c. M:-3.5821 c. 74: 12 9 12 10 11 10 10 SP SD: 2.1592 c. M: 4.2703 c. 103: 17 12 17 14 15 14 14 SP SD: 1.9343 c. M:-4.1068 c. 104: 17 12 17 14 16 14 14 SP SD: 2.3706 c. M: 3.4327 c. 110: 18 13 18 15 16 15 15 SP SD: 1.9905 c. M:-3.2545 c. 119: 20 14 19 16 18 16 16 SP SD: 2.3237 c. M:-4.8571 c. 121: 20 14 20 16 18 17 16 SP SD: 2.1945 c. M:-4.3967 c. 126: 21 14 21 17 19 17 17 SP SD: 1.9075 c. M: 4.7222 c. 133: 22 15 22 18 20 18 18 SP SD: 1.7452 c. M: 4.2180 c. 140: 23 16 23 19 21 19 19 SP SD: 1.9375 c. M: 3.7643 c. 141: 23 17 23 19 21 19 19 SP SD: 2.1310 c. M: 3.1135 c. 145: 24 17 24 19 22 19 20 SP SD: 1.9394 c. M:-4.0690 c. 149: 25 17 24 20 23 20 20 SP SD: 1.8997 c. M:-2.5168 c. 152: 25 18 25 20 23 20 21 SP SD: 1.7310 c. M:-2.9737 c. 155: 26 18 25 21 23 21 21 SP SD: 1.5956 c. M:-2.6323 c. 162: 27 19 26 22 24 22 22 SP SD: 1.4295 c. M:-2.7284 c. 164: 27 19 27 22 25 22 22 SP SD: 1.3587 c. M:-2.1707 c. 171: 28 20 28 23 26 23 23 SP SD: 1.2991 c. M: 2.3626 c. 182: 30 21 30 24 28 24 25 SP SD: 1.4939 c. M: 2.6538 c. 185: 31 21 30 25 28 25 25 SP SD: 1.2700 c. M:-2.2541 c. 192: 32 22 31 26 29 26 26 SP SD: 1.2664 c. M: 2.6510 c. 193: 32 22 32 26 29 26 26 SP SD: 1.2311 c. M: 2.2902 c. 200: 33 23 33 27 30 27 27 SP SD: 1.0098 c. M: 2.0400 c. 207: 34 24 34 28 31 28 28 SP SD: 1.0662 c. M: 1.8068 c. 223: 37 26 36 30 34 30 30 SP SD: 1.0134 c. M:-1.6233 c. 245: 41 28 40 33 37 33 33 SP SD: 1.0020 c. M:-1.9878 c. 249: 41 29 41 33 38 33 34 SP SD: 0.9473 c. M: 1.2570 c. 252: 42 29 41 34 38 34 34 SP SD: 0.6736 c. M:-1.1667 c. 259: 43 30 42 35 39 35 35 SP SD: 0.5589 c. M: 1.0734 c. 333: 55 39 54 45 50 45 45 SP SD: 0.5836 c. M:-0.8919 c. 337: 56 39 55 45 51 45 46 SP SD: 0.4416 c. M: 0.7537 c. 404: 67 47 66 54 61 54 55 SP SD: 0.4153 c. M:-0.7723 c. 411: 68 48 67 55 62 55 56 SP SD: 0.3627 c. M:-0.6618 c. 501: 83 58 82 67 76 67 68 SP SD: 0.3543 c. M:-0.7605 c. 508: 84 59 83 68 77 68 69 SP SD: 0.3129 c. M:-0.4902 c. 537: 89 62 88 72 81 72 73 SP SD: 0.2437 c. M: 0.6015 c. 544: 90 63 89 73 82 73 74 SP SD: 0.2542 c. M: 0.5313 c. 611: 101 71 100 82 92 82 83 SP SD: 0.2627 c. M: 0.4795 c. 663: 110 77 108 89 100 89 90 SP SD: 0.2085 c. M:-0.4359 c. 670: 111 78 109 90 101 90 91 SP SD: 0.1954 c. M:-0.4821 c. 699: 116 81 114 94 105 94 95 SP SD: 0.2274 c. M: 0.3562 c. 796: 132 92 130 107 120 107 108 SP SD: 0.1873 c. M: 0.3417 c. 870: 144 101 142 117 131 117 118 SP SD: 0.1710 c. M:-0.2920 c. 948: 157 110 155 127 143 127 129 SP SD: 0.1527 c. M:-0.2932 c. 1133: 188 131 185 152 171 152 154 SP SD: 0.1410 c. M:-0.2789 c. 1140: 189 132 186 153 172 153 155 SP SD: 0.1401 c. M: 0.2105 c. 1200: 199 139 196 161 181 161 163 SP SD: 0.0905 c. M:-0.1608 c. 1207: 200 140 197 162 182 162 164 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 7.0000 cents 2 x x x 3 x x 4 S SD: 3.7991 cents 3 x x 4 x 5 x 6 S SD: 13.2404 cents 4 x 5 x 6 x 7:8 S SD: 21.9438 cents 5 x 6:7 x 8:9:10 S SD: 17.7653 cents 6:7 x 8:9:10:11:12 S SD: 13.0157 cents 7:8:9:10 x 12:13:14 S SD: 23.6181 cents 8:9:10:11:12:13:15:16 SD: 11.1669 cents 10:11:12:14:15:17:18:20 SD: 11.0743 cents 14:16:17:19:21:23:26:28 SD: 7.0013 cents 17:19:21:23:25:28:31:34 SD: 6.7641 cents 18:20:22:25:27:30:33:36 SD: 5.4958 cents 22:25:27:30:33:37:40:44 SD: 4.8435 cents 24:27:29:33:36:40:44:48 SD: 3.1396 cents 33:37:40:45:49:55:60:66 SD: 2.8222 cents 41:46:50:56:61:68:75:82 SD: 2.1540 cents 42:47:51:57:63:70:77:84 SD: 2.1257 cents 50:56:61:68:75:83:91:100 SD: 1.8312 cents 64:72:78:87:96:106:117:129 SD: 1.8083 cents 65:73:79:89:97:108:119:131 SD: 1.7485 cents 66:74:80:90:99:110:121:133 SD: 1.7464 cents 74:83:90:101:111:123:135:149 SD: 0.9269 cents 105:118:128:143:157:175:192:211 SD: 0.9098 cents 107:120:130:146:160:178:195:215 SD: 0.8411 cents 115:129:140:157:172:191:210:231 SD: 0.5945 cents 157:176:191:214:235:261:287:315 SD: 0.4877 cents 179:201:218:244:268:298:327:359 SD: 0.4367 cents 203:228:247:277:304:338:371:408 SD: 0.4121 cents 229:257:279:312:343:381:418:460 SD: 0.4092 cents 231:259:281:315:346:384:422:464 SD: 0.3539 cents 253:284:308:345:379:421:462:508 SD: 0.1706 cents 368:413:448:502:551:612:672:739 SD: 0.1539 cents 531:596:646:724:795:883:970:1066 SD: 0.1510 cents 571:641:695:779:855:950:1043:1147 SD: 0.1496 cents 589:661:717:803:882:980:1076:1183 SD: 0.1307 cents