Scala analysis: Thailand_Flute_08
8 (Flute), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 162.000 cents 162.000000 2: 310.000 cents 310.000000 3: 446.000 cents 446.000000 4: 613.000 cents 613.000000 5: 746.000 cents 746.000000 6: 970.000 cents 970.000000 7: 1124.000 cents 1124.000000
SHOW/INTERVAL
0: 154.0000 cents 154.0000 1: 162.0000 cents 162.0000 2: 148.0000 cents 148.0000 3: 136.0000 cents 136.0000 4: 167.0000 cents 167.0000 5: 133.0000 cents 133.0000 6: 224.0000 cents 224.0000 7: 154.0000 cents 154.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.00000 cents 1: 1 136.00000 cents 1: 1 148.00000 cents 1: 1 154.00000 cents 1: 1 162.00000 cents 1: 1 167.00000 cents 1: 1 224.00000 cents 2: 1 284.00000 cents 2: 1 300.00000 cents 2: 1 303.00000 cents 2: 1 310.00000 cents 2: 1 316.00000 cents 2: 1 357.00000 cents 2: 1 378.00000 cents 3: 1 436.00000 cents 3: 1 446.00000 cents 3: 1 451.00000 cents 3: 1 464.00000 cents 3: 1 511.00000 cents 3: 1 524.00000 cents 3: 1 540.00000 cents 4: 1 584.00000 cents 4: 1 600.00000 cents 4: 1 613.00000 cents 4: 1 660.00000 cents 4: 1 673.00000 cents 4: 1 678.00000 cents 4: 1 688.00000 cents 5: 1 746.00000 cents 5: 1 767.00000 cents 5: 1 808.00000 cents 5: 1 814.00000 cents 5: 1 821.00000 cents 5: 1 824.00000 cents 5: 1 840.00000 cents 6: 1 900.00000 cents 6: 1 957.00000 cents 6: 1 962.00000 cents 6: 1 970.00000 cents 6: 1 976.00000 cents 6: 1 988.00000 cents 6: 1 991.00000 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 : 162.0 310.0 446.0 613.0 746.0 970.0 1124.0 162.0 : 148.0 284.0 451.0 584.0 808.0 962.0 1124.0 310.0 : 136.0 303.0 436.0 660.0 814.0 976.0 1124.0 446.0 : 167.0 300.0 524.0 678.0 840.0 988.0 1124.0 613.0 : 133.0 357.0 511.0 673.0 821.0 957.0 1124.0 746.0 : 224.0 378.0 540.0 688.0 824.0 991.0 1124.0 970.0 : 154.0 316.0 464.0 600.0 767.0 900.0 1124.0 1124.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.0000 .. 224.0000 cents 91.00000 cents 133.00000 cents 2: 284.0000 .. 378.0000 cents 94.00000 cents 60.00000 cents 3: 436.0000 .. 540.0000 cents 104.00000 cents 58.00000 cents 4: 584.0000 .. 688.0000 cents 104.00000 cents 44.00000 cents 5: 746.0000 .. 840.0000 cents 94.00000 cents 58.00000 cents 6: 900.0000 .. 991.0000 cents 91.00000 cents 60.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 133.00000 cents, class 1 Average step (divided formal octave): 160.5714 cents Largest one step interval : 224.00000 cents Average / Smallest step : 1.207304 Largest / Average step : 1.395018 Largest / Smallest step : 1.684211 Median interval of one step : 154.00000 cents, amount: 1 Least squares average step : 157.07143 cents, oct.: 1099.50000 cents Scale is strictly proper Scale is a mode of a 1124-tone equal temperament with octave 1124.000 cents degrees: 162 310 446 613 746 970 1124 Least number of segments generator : 563 of 563.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1049 of 1049.000 cents and inv. generated superset size: 266 = 259 more = 3800.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : ECBFAGD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 44.00000 cents Scale diversity : 1.608540 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.485765 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 688.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 1, average 511.0000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 94.0000 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 28.1204 c. M:-56.8571 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 30.6571 c. M: 51.0000 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 26.5228 c. M:-42.6667 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 13: 2 2 1 2 2 2 2 SP M ME S SD: 20.8534 c. M:-35.8462 c. Oukranian 14: 2 2 2 2 1 3 2 P T3 SD: 20.1829 c. M:-35.7143 c. 15: 2 2 2 2 2 3 2 SP M ME S SD: 8.2543 c. M: 13.5333 c. 33: 5 4 4 5 4 6 5 SP SD: 7.2516 c. M: 16.3030 c. 35: 5 5 4 5 4 7 5 SP SD: 5.9123 c. M:-11.1429 c. 41: 6 5 5 6 5 8 6 SP SD: 7.2990 c. M: 10.4878 c. 42: 6 6 5 6 5 8 6 SP SD: 6.1761 c. M:-11.1429 c. 44: 6 6 5 7 5 9 6 SP SD: 6.0121 c. M: 11.7273 c. 48: 7 6 6 7 6 9 7 SP SD: 4.8231 c. M: 9.9167 c. 50: 7 7 6 7 6 10 7 SP SD: 4.1721 c. M: 6.0400 c. 51: 7 7 6 8 6 10 7 SP SD: 4.0878 c. M: 7.7255 c. 66: 10 8 8 10 8 13 9 SP SD: 3.8329 c. M:-8.3030 c. 68: 10 9 8 10 8 14 9 SP SD: 2.9653 c. M:-5.2353 c. 75: 11 10 9 11 9 15 10 SP SD: 3.2445 c. M:-4.7200 c. 81: 12 10 10 12 10 16 11 SP SD: 3.0551 c. M: 4.7160 c. 83: 12 11 10 12 10 17 11 SP SD: 2.4769 c. M:-5.0361 c. 90: 13 12 11 13 11 18 12 SP SD: 2.5998 c. M:-4.1333 c. 95: 14 12 12 14 11 19 13 SP SD: 2.3090 c. M:-3.6421 c. 101: 15 13 12 15 12 20 14 SP SD: 2.1329 c. M:-4.9307 c. 104: 15 14 12 16 12 21 14 SP SD: 2.2868 c. M:-3.4231 c. 110: 16 14 14 16 13 22 15 SP SD: 1.9878 c. M:-3.6000 c. 116: 17 15 14 17 14 23 16 SP SD: 1.4684 c. M:-2.7241 c. 139: 20 18 17 21 16 28 19 SP SD: 1.5041 c. M: 2.7194 c. 146: 21 19 18 22 17 29 20 SP SD: 1.3910 c. M:-2.8904 c. 148: 21 20 18 22 17 30 20 SP SD: 1.8769 c. M: 2.5135 c. 152: 22 20 18 23 18 30 21 SP SD: 1.1443 c. M: 2.3158 c. 167: 24 22 20 25 20 33 23 SP SD: 0.8993 c. M: 1.7844 c. 182: 26 24 22 27 22 36 25 SP SD: 1.1723 c. M: 1.5934 c. 196: 28 26 24 29 23 39 27 SP SD: 0.8593 c. M: 1.4286 c. 214: 31 28 26 32 25 43 29 SP SD: 0.9311 c. M:-1.6822 c. 229: 33 30 28 34 27 46 31 SP SD: 0.8213 c. M:-1.8428 c. 235: 34 31 28 35 28 47 32 SP SD: 0.7657 c. M: 1.1830 c. 242: 35 32 29 36 29 48 33 SP SD: 0.8839 c. M:-1.7851 c. 250: 36 33 30 37 30 50 34 SP SD: 0.8160 c. M: 1.5440 c. 262: 38 34 32 39 31 52 36 SP SD: 0.6511 c. M: 1.1145 c. 264: 38 35 32 39 31 53 36 SP SD: 0.6734 c. M:-1.0455 c. 297: 43 39 36 44 35 59 41 SP SD: 0.6029 c. M: 1.1650 c. 312: 45 41 38 46 37 62 43 SP SD: 0.5043 c. M: 0.9103 c. 345: 50 45 42 51 41 69 47 SP SD: 0.5594 c. M:-0.8986 c. 348: 50 46 42 52 41 69 48 SP SD: 0.5179 c. M: 1.0345 c. 363: 52 48 44 54 43 72 50 SP SD: 0.5145 c. M: 0.9862 c. 380: 55 50 46 56 45 76 52 SP SD: 0.5525 c. M: 0.7158 c. 381: 55 50 46 57 45 76 52 SP SD: 0.4302 c. M:-0.6273 c. 416: 60 55 50 62 49 83 57 SP SD: 0.3279 c. M:-0.7212 c. 431: 62 57 52 64 51 86 59 SP SD: 0.1979 c. M:-0.3387 c. 693: 100 91 84 103 82 138 95 SP SD: 0.1231 c. M: 0.2107 c. 1109: 160 146 134 165 131 221 152 SP SD: 0.1116 c. M:-0.1830 c. 1124: 162 148 136 167 133 224 154 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 76.0000 cents 2 x x x x 3 x 4 S SD: 43.9203 cents 3 x x 4 x x 5:6 S SD: 41.9247 cents 4 x x 5 x 6:7:8 S SD: 26.5516 cents 5 x 6 x 7:8:9:10 S SD: 23.3102 cents 6 x 7:8 x 9 x 11 SD: 27.4766 cents 7:8 x 9:10:11:12:13 S SD: 16.9563 cents 8:9 x 10:11:12:14:15 S SD: 18.5155 cents 9:10:11:12:13:14:16:17 S SD: 11.6475 cents 10:11:12:13:14:15:18:19 S SD: 10.5047 cents 11:12:13:14:16:17:19:21 SD: 8.1965 cents 17:19:20:22:24:26:30:33 SD: 7.6766 cents 19:21:23:25:27:29:33:36 SD: 6.5995 cents 20:22:24:26:29:31:35:38 SD: 5.2514 cents 21:23:25:27:30:32:37:40 SD: 3.7552 cents 30:33:36:39:43:46:53:57 SD: 3.6289 cents 31:34:37:40:44:48:54:59 SD: 2.8067 cents 40:44:48:52:57:62:70:77 SD: 2.7412 cents 41:45:49:53:58:63:72:78 SD: 2.4819 cents 50:55:60:65:71:77:88:96 SD: 2.2574 cents 52:57:62:67:74:80:91:100 SD: 1.8265 cents 61:67:73:79:87:94:107:117 SD: 0.8355 cents 92:101:110:119:131:142:161:176 SD: 0.8316 cents 113:124:135:146:161:174:198:216 SD: 0.6343 cents 132:145:158:171:188:203:231:253 SD: 0.5478 cents 153:168:183:198:218:235:268:293 SD: 0.4589 cents 174:191:208:225:248:268:305:333 SD: 0.4199 cents 184:202:220:238:262:283:322:352 SD: 0.3180 cents 245:269:293:317:349:377:429:469 SD: 0.0908 cents