Scala analysis: Thailand_Kaen_hok
Kaen hok (Kaen), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.000 cents 203.000000 2: 515.000 cents 515.000000 3: 695.000 cents 695.000000 4: 910.000 cents 910.000000 5: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 295.0000 cents 295.0000 1: 203.0000 cents 203.0000 2: 312.0000 cents 312.0000 3: 180.0000 cents 180.0000 4: 215.0000 cents 215.0000 5: 295.0000 cents 295.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 180.00000 cents 1: 1 203.00000 cents 1: 1 215.00000 cents 1: 1 295.00000 cents 1: 1 312.00000 cents 2: 1 395.00000 cents 2: 1 492.00000 cents 2: 1 498.00000 cents 2: 1 510.00000 cents 2: 1 515.00000 cents 3: 1 690.00000 cents 3: 1 695.00000 cents 3: 1 707.00000 cents 3: 1 713.00000 cents 3: 1 810.00000 cents 4: 1 893.00000 cents 4: 1 910.00000 cents 4: 1 990.00000 cents 4: 1 1002.00000 cents 4: 1 1025.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 203.0 515.0 695.0 910.0 1205.0 203.0 : 312.0 492.0 707.0 1002.0 1205.0 515.0 : 180.0 395.0 690.0 893.0 1205.0 695.0 : 215.0 510.0 713.0 1025.0 1205.0 910.0 : 295.0 498.0 810.0 990.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 180.0000 .. 312.0000 cents 132.00000 cents 180.00000 cents 2: 395.0000 .. 515.0000 cents 120.00000 cents 83.00000 cents 3: 690.0000 .. 810.0000 cents 120.00000 cents 175.00000 cents 4: 893.0000 .. 1025.0000 cents 132.00000 cents 83.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 180.00000 cents, class 1 Average step (divided formal octave): 241.0000 cents Largest one step interval : 312.00000 cents Average / Smallest step : 1.338889 Largest / Average step : 1.294606 Largest / Smallest step : 1.733333 Median interval of one step : 215.00000 cents, amount: 1 Least squares average step : 236.05455 cents, oct.: 1180.27273 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 203 515 695 910 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 644 of 644.000 cents and inv. generated superset size: 221 = 216 more = 4420.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BEACD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 83.00000 cents Scale diversity : 1.431596 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.581743 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 5.00000 cents Number of recognisable fifths : 4, average 701.2500 cents Number of recognisable fourths : 3, average 500.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 120.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 35.3072 c. M:-54.0000 c. 7: 1 2 1 1 2 P M ME S SD: 26.1710 c. M: 49.2857 c. Thai mode 5 11: 2 3 1 2 3 P T3 SD: 27.8738 c. M: 37.7273 c. 12: 2 3 2 2 3 SP M ME S SD: 7.3928 c. M: 12.9167 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 28: 5 7 4 5 7 SP T3 SD: 6.7933 c. M:-12.1786 c. 35: 6 9 5 6 9 SP T3 SD: 7.4412 c. M: 14.8571 c. 37: 6 10 5 7 9 SP SD: 6.6487 c. M: 11.0811 c. 40: 7 10 6 7 10 SP T3 SD: 4.7720 c. M:-7.8750 c. 42: 7 11 6 8 10 SP SD: 4.7664 c. M:-8.0952 c. 49: 8 13 7 9 12 SP SD: 4.0653 c. M: 6.4286 c. 52: 9 13 8 9 13 SP T3 SD: 4.4034 c. M: 6.2500 c. 54: 9 14 8 10 13 SP SD: 2.9112 c. M:-4.9074 c. 61: 10 16 9 11 15 SP SD: 3.0486 c. M: 5.4590 c. 66: 11 17 10 12 16 SP SD: 2.4000 c. M: 3.7879 c. 82: 14 21 12 15 20 SP SD: 2.3605 c. M: 4.3293 c. 94: 16 24 14 17 23 SP SD: 1.8495 c. M: 2.7660 c. 101: 17 26 15 18 25 SP SD: 2.1793 c. M: 3.2673 c. 106: 18 27 16 19 26 SP SD: 1.8565 c. M: 3.4434 c. 135: 23 35 20 24 33 SP SD: 1.6896 c. M:-2.7037 c. 142: 24 37 21 25 35 SP SD: 1.5591 c. M:-2.6408 c. 147: 25 38 22 26 36 SP SD: 1.3351 c. M:-1.9320 c. 159: 27 41 24 28 39 SP SD: 1.2695 c. M:-2.2327 c. 180: 30 47 27 32 44 SP SD: 1.1497 c. M: 2.1667 c. 184: 31 48 27 33 45 SP SD: 1.1263 c. M:-2.3641 c. 189: 32 49 28 34 46 SP SD: 1.0994 c. M:-1.7196 c. 196: 33 51 29 35 48 SP SD: 0.6548 c. M:-1.4286 c. 201: 34 52 30 36 49 SP SD: 0.7407 c. M:-1.2438 c. 208: 35 54 31 37 51 SP SD: 0.3639 c. M:-0.6010 c. 274: 46 71 41 49 67 SP SD: 0.4100 c. M: 0.7007 c. 409: 69 106 61 73 100 SP SD: 0.3646 c. M:-0.5868 c. 421: 71 109 63 75 103 SP SD: 0.2820 c. M:-0.5226 c. 470: 79 122 70 84 115 SP SD: 0.2772 c. M: 0.4574 c. 482: 81 125 72 86 118 SP SD: 0.2236 c. M: 0.5000 c. 510: 86 132 76 91 125 SP SD: 0.2395 c. M: 0.3529 c. 683: 115 177 102 122 167 SP SD: 0.1947 c. M:-0.3660 c. 695: 117 180 104 124 170 SP SD: 0.1758 c. M:-0.2590 c. 723: 122 187 108 129 177 SP SD: 0.1491 c. M:-0.3333 c. 784: 132 203 117 140 192 SP SD: 0.1514 c. M: 0.2806 c. 903: 152 234 135 161 221 SP SD: 0.1437 c. M:-0.2436 c. 931: 157 241 139 166 228 SP SD: 0.1207 c. M:-0.2062 c. 943: 159 244 141 168 231 SP SD: 0.1304 c. M: 0.1803 c. 985: 166 255 147 176 241 SP SD: 0.1052 c. M:-0.1726 c. 997: 168 258 149 178 244 SP SD: 0.0759 c. M: 0.1254 c. 1193: 201 309 178 213 292 SP SD: 0.0744 c. M:-0.1299 c. 1205: 203 312 180 215 295 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 5.0000 cents 2 x x 3 x 4 S SD: 4.2829 cents 3 x 4 x 5:6 S SD: 10.3813 cents 4 x 5:6:7:8 S SD: 35.4383 cents 5:6:7 x 8:10 S SD: 40.7333 cents 6:7:8:9:10:12 S SD: 14.2798 cents 8:9:11:12:14:16 SD: 13.9337 cents 9:10:12:13:15:18 SD: 13.8602 cents 14:16:19:21:24:28 SD: 7.9736 cents 16:18:22:24:27:32 SD: 7.5108 cents 17:19:23:25:29:34 SD: 6.8231 cents 22:25:30:33:37:44 SD: 6.2926 cents 23:26:31:34:39:46 SD: 4.3221 cents 26:29:35:39:44:52 SD: 3.2788 cents 32:36:43:48:54:64 SD: 2.0340 cents 49:55:66:73:83:98 SD: 1.5986 cents 55:62:74:82:93:110 SD: 1.5389 cents 81:91:109:121:137:162 SD: 1.0624 cents 113:127:152:169:191:227 SD: 0.7897 cents 130:146:175:194:220:261 SD: 0.6777 cents 136:153:183:203:230:273 SD: 0.5079 cents 162:182:218:242:274:325 SD: 0.3648 cents 289:325:389:432:489:580 SD: 0.3170 cents 312:351:420:466:528:626 SD: 0.2902 cents 314:353:423:469:531:630 SD: 0.2448 cents 338:380:455:505:572:678 SD: 0.1847 cents 482:542:649:720:815:967 SD: 0.1647 cents 490:551:660:732:829:983 SD: 0.1546 cents 522:587:703:780:883:1047 SD: 0.1029 cents