Scala analysis: Thailand_03
3, Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 155.000 cents 155.000000 2: 325.000 cents 325.000000 3: 505.000 cents 505.000000 4: 675.000 cents 675.000000 5: 855.000 cents 855.000000 6: 1015.000 cents 1015.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 185.0000 cents 185.0000 1: 155.0000 cents 155.0000 2: 170.0000 cents 170.0000 3: 180.0000 cents 180.0000 4: 170.0000 cents 170.0000 5: 180.0000 cents 180.0000 6: 160.0000 cents 160.0000 7: 185.0000 cents 185.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 155.00000 cents 1: 1 160.00000 cents 1: 2 170.00000 cents 1: 2 180.00000 cents 1: 1 185.00000 cents 2: 1 325.00000 cents 2: 2 340.00000 cents 2: 1 345.00000 cents 2: 3 350.00000 cents 3: 1 500.00000 cents 3: 1 505.00000 cents 3: 2 510.00000 cents 3: 1 520.00000 cents 3: 1 525.00000 cents 3: 1 530.00000 cents 4: 1 670.00000 cents 4: 1 675.00000 cents 4: 1 680.00000 cents 4: 2 690.00000 cents 4: 1 695.00000 cents 4: 1 700.00000 cents 5: 3 850.00000 cents 5: 1 855.00000 cents 5: 2 860.00000 cents 5: 1 875.00000 cents 6: 1 1015.00000 cents 6: 2 1020.00000 cents 6: 2 1030.00000 cents 6: 1 1040.00000 cents 6: 1 1045.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 155.0 325.0 505.0 675.0 855.0 1015.0 1200.0 155.0 : 170.0 350.0 520.0 700.0 860.0 1045.0 1200.0 325.0 : 180.0 350.0 530.0 690.0 875.0 1030.0 1200.0 505.0 : 170.0 350.0 510.0 695.0 850.0 1020.0 1200.0 675.0 : 180.0 340.0 525.0 680.0 850.0 1030.0 1200.0 855.0 : 160.0 345.0 500.0 670.0 850.0 1020.0 1200.0 1015.0: 185.0 340.0 510.0 690.0 860.0 1040.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 155.0000 .. 185.0000 cents 30.00000 cents 155.00000 cents 2: 325.0000 .. 350.0000 cents 25.00000 cents 140.00000 cents 3: 500.0000 .. 530.0000 cents 30.00000 cents 150.00000 cents 4: 670.0000 .. 700.0000 cents 30.00000 cents 140.00000 cents 5: 850.0000 .. 875.0000 cents 25.00000 cents 150.00000 cents 6: 1015.0000 .. 1045.0000 cents 30.00000 cents 140.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 155.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 185.00000 cents Average / Smallest step : 1.105991 Largest / Average step : 1.079167 Largest / Smallest step : 1.193548 Median interval of one step : 170.00000 cents, amount: 2 Least squares average step : 169.89286 cents, oct.: 1189.25000 cents Scale is strictly proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 31 65 101 135 171 203 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 137 of 685.000 cents and inv. generated superset size: 26 = 19 more = 371.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBCDE Step pattern size order : ACDCDBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 140.00000 cents Scale diversity : 1.151133 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.858333 Rothenberg efficiency : 0.368707 redundancy: 0.631293 Efficiency x scale size : 2.580952 Number of different interval sizes : 30 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.00000 = 5 Median interval variety : 4.5 Lowest interval variety : 4 Smallest interval difference : 5.00000 cents Most common intervals : 350.00000 cents & inv., amount: 3 Number of recognisable fifths : 4, average 693.7500 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% Limited transpositions with margin 30.0000 cents: 2 3 4 5 Limited inverse transpositions with margin 25.0000 cents: 1 2 3 4 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 11.8235 c. M:-17.8571 c. Lebeng 25: 3 4 4 3 4 3 4 SP M ME S SD: 11.4018 c. M:-23.0000 c. Dicot-7 30: 4 4 5 4 4 4 5 SP M ME S SD: 10.3510 c. M: 15.0000 c. 31: 4 4 5 4 5 4 5 SP M ME S SD: 9.3298 c. M: 16.9355 c. Neutral Phrygian 32: 4 5 4 5 5 4 5 SP M ME S SD: 8.8641 c. M: 17.5000 c. 34: 4 5 5 5 5 5 5 SP M ME S SD: 8.6094 c. M: 13.8235 c. 37: 5 5 6 5 5 5 6 SP M ME S SD: 8.5586 c. M:-13.9189 c. 38: 5 5 6 5 6 5 6 SP M ME S SD: 6.0844 c. M: 11.8421 c. 41: 5 6 6 6 6 6 6 SP M ME S SD: 6.2084 c. M:-9.3902 c. 45: 6 6 7 6 7 6 7 SP M ME S SD: 4.2725 c. M: 8.3333 c. 52: 7 7 8 7 8 7 8 SP M ME S SD: 3.5549 c. M:-6.5385 c. 59: 8 8 9 8 9 8 9 SP M ME S SD: 3.5986 c. M:-7.7119 c. 60: 8 8 9 9 9 8 9 SP D3 SD: 4.6291 c. M:-5.0000 c. 62: 8 9 9 9 9 8 10 SP D3 S SD: 3.9611 c. M: 8.5484 c. 66: 9 9 10 9 10 9 10 SP M ME S SD: 3.9997 c. M:-8.6364 c. 69: 9 10 10 10 10 9 11 SP D3 S SD: 3.5985 c. M: 6.3043 c. 71: 9 10 11 10 11 9 11 SP SD: 3.3396 c. M:-6.9718 c. 77: 10 11 11 11 12 10 12 SP T3 SD: 3.3362 c. M: 6.2987 c. 78: 10 11 12 11 12 10 12 SP SD: 2.9001 c. M:-6.5385 c. 85: 11 12 13 12 13 11 13 SP SD: 2.8775 c. M:-6.1765 c. 91: 12 13 13 13 14 12 14 SP T3 SD: 2.8882 c. M:-4.6703 c. 92: 12 13 14 13 14 12 14 SP SD: 3.1158 c. M:-5.8696 c. 93: 12 13 14 13 14 13 14 SP T3 SD: 2.8214 c. M:-4.3548 c. 100: 13 14 15 14 15 14 15 SP T3 SD: 2.5635 c. M:-5.0000 c. 110: 14 16 16 16 16 15 17 SP SD: 2.3681 c. M: 4.0909 c. 114: 15 16 17 16 17 15 18 SP SD: 2.3156 c. M: 4.4737 c. 117: 15 17 17 17 17 16 18 SP SD: 2.2427 c. M: 3.7179 c. 121: 16 17 18 17 18 16 19 SP SD: 2.2645 c. M:-3.6777 c. 122: 16 17 18 18 18 16 19 SP SD: 2.2302 c. M:-3.6885 c. 123: 16 17 19 17 19 16 19 SP SD: 2.1333 c. M:-3.5366 c. 126: 16 18 19 18 19 17 19 SP SD: 2.0951 c. M:-4.0476 c. 130: 17 18 20 18 20 17 20 SP SD: 2.0038 c. M:-3.4615 c. 137: 18 19 21 19 21 18 21 SP SD: 2.0718 c. M:-3.3942 c. 138: 18 19 21 20 20 19 21 SP SD: 2.3211 c. M:-3.2609 c. 140: 18 20 21 20 21 18 22 SP SD: 1.8311 c. M: 3.5714 c. 147: 19 21 22 21 22 19 23 SP SD: 1.7850 c. M: 2.7551 c. 148: 19 21 22 21 22 20 23 SP SD: 1.9369 c. M: 3.6486 c. 149: 19 21 23 21 22 20 23 SP SD: 1.7639 c. M: 2.8523 c. 155: 20 22 23 22 23 21 24 SP SD: 1.5780 c. M: 3.3871 c. 156: 20 22 24 22 23 21 24 SP SD: 1.5791 c. M:-2.6923 c. 162: 21 23 24 23 24 22 25 SP SD: 1.3964 c. M: 3.1481 c. 171: 22 24 26 24 26 23 26 SP SD: 1.4520 c. M:-2.5439 c. 173: 22 25 26 24 26 23 27 SP SD: 1.7668 c. M: 2.3988 c. 174: 22 25 26 25 26 23 27 SP SD: 1.5171 c. M: 3.2759 c. 178: 23 25 27 25 27 24 27 SP SD: 1.3797 c. M:-2.9775 c. 180: 23 26 27 25 27 24 28 SP SD: 1.5430 c. M:-1.6667 c. 181: 23 26 27 26 27 24 28 SP SD: 1.1730 c. M: 2.5138 c. 188: 24 27 28 27 28 25 29 SP SD: 0.9833 c. M: 1.8085 c. 195: 25 28 29 28 29 26 30 SP SD: 0.9860 c. M:-1.9231 c. 219: 28 31 33 31 33 29 34 SP SD: 1.1338 c. M: 1.7123 c. 226: 29 32 34 32 34 30 35 SP SD: 0.7324 c. M: 1.1062 c. 233: 30 33 35 33 35 31 36 SP SD: 0.3552 c. M: 0.5365 c. 240: 31 34 36 34 36 32 37 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: 13.4775 cents 3 x x 4 x 5 x 6 S SD: 10.0571 cents 4 x 5 x 6 x 7:8 S SD: 20.3378 cents 5 x 6:7 x 8:9:10 S SD: 17.6740 cents 6 x 7:8:9:10:11:12 S SD: 13.1198 cents 7:8 x 9:10:11:13:14 SD: 24.9838 cents 8:9:10:11:12:13:14:16 S SD: 15.2295 cents 9:10:11:12:13:15:16:18 SD: 9.0285 cents 11:12:13:15:16:18:20:22 SD: 8.3533 cents 14:15:17:19:21:23:25:28 SD: 7.5876 cents 19:21:23:25:28:31:34:38 SD: 5.3197 cents 20:22:24:27:30:33:36:40 S SD: 5.1025 cents 21:23:25:28:31:34:38:42 SD: 4.8709 cents 23:25:28:31:34:38:41:46 SD: 4.2883 cents 29:32:35:39:43:48:52:58 SD: 3.6901 cents 30:33:36:40:44:49:54:60 SD: 2.9178 cents 33:36:40:44:49:54:59:66 SD: 2.5098 cents 44:48:53:59:65:72:79:88 SD: 0.9512 cents 97:106:117:130:143:159:174:194 SD: 0.7404 cents 130:142:157:174:192:213:234:260 SD: 0.5419 cents 174:190:210:233:257:285:313:348 SD: 0.4675 cents 183:200:221:245:270:300:329:366 SD: 0.3974 cents 213:233:257:285:315:349:383:426 SD: 0.3860 cents 222:243:268:297:328:364:399:444 SD: 0.3538 cents 227:248:274:304:335:372:408:454 SD: 0.3473 cents 233:255:281:312:344:382:419:466 SD: 0.2893 cents 266:291:321:356:393:436:478:532 SD: 0.1726 cents 310:339:374:415:458:508:557:620 SD: 0.1266 cents 543:594:655:727:802:890:976:1086 SD: 0.1068 cents 587:642:708:786:867:962:1055:1174 SD: 0.1047 cents