Scala analysis: Korea_Sangyongsan_02
Sangyongsan 2 (Voice), Korea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 114.000 cents 114.000000 2: 485.000 cents 485.000000 3: 727.000 cents 727.000000 4: 921.000 cents 921.000000 5: 1288.000 cents 1288.000000
SHOW/INTERVAL
0: 367.0000 cents 367.0000 1: 114.0000 cents 114.0000 2: 371.0000 cents 371.0000 3: 242.0000 cents 242.0000 4: 194.0000 cents 194.0000 5: 367.0000 cents 367.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.00000 cents 1: 1 194.00000 cents 1: 1 242.00000 cents 1: 1 367.00000 cents 1: 1 371.00000 cents 2: 1 436.00000 cents 2: 1 481.00000 cents 2: 1 485.00000 cents 2: 1 561.00000 cents 2: 1 613.00000 cents 3: 1 675.00000 cents 3: 1 727.00000 cents 3: 1 803.00000 cents 3: 1 807.00000 cents 3: 1 852.00000 cents 4: 1 917.00000 cents 4: 1 921.00000 cents 4: 1 1046.00000 cents 4: 1 1094.00000 cents 4: 1 1174.00000 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 : 114.0 485.0 727.0 921.0 1288.0 114.0 : 371.0 613.0 807.0 1174.0 1288.0 485.0 : 242.0 436.0 803.0 917.0 1288.0 727.0 : 194.0 561.0 675.0 1046.0 1288.0 921.0 : 367.0 481.0 852.0 1094.0 1288.0 1288.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0000 .. 371.0000 cents 257.00000 cents 114.00000 cents 2: 436.0000 .. 613.0000 cents 177.00000 cents 65.00000 cents 3: 675.0000 .. 852.0000 cents 177.00000 cents 62.00000 cents 4: 917.0000 .. 1174.0000 cents 257.00000 cents 65.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 114.00000 cents, class 1 Average step (divided formal octave): 257.6000 cents Largest one step interval : 371.00000 cents Average / Smallest step : 2.259649 Largest / Average step : 1.440217 Largest / Smallest step : 3.254386 Median interval of one step : 242.00000 cents, amount: 1 Least squares average step : 243.43636 cents, oct.: 1217.18182 cents Scale is strictly proper Scale is a mode of a 1288-tone equal temperament with octave 1288.000 cents degrees: 114 485 727 921 1288 Least number of segments generator : 645 of 645.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 855 of 855.000 cents and inv. generated superset size: 237 = 232 more = 4740.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AECBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 62.00000 cents Scale diversity : 1.542929 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.326087 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 : 4.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 2, average 483.0000 cents Number of appreciable fourths : 0 Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 0 2 1 1 1 N T3 SD: 74.7984 c. M: 114.0000 c. 6: 0 2 1 1 2 P D3 S SD: 73.3065 c. M: 114.0000 c. 7: 1 2 1 1 2 P M ME S SD: 43.5224 c. M:-70.0000 c. Thai mode 5 8: 1 2 2 1 2 P M ME S SD: 45.4357 c. M:-78.0000 c. 9: 1 2 2 1 3 P D3 S SD: 39.9065 c. M: 62.3333 c. 10: 1 3 2 1 3 P T3 SD: 26.8517 c. M:-45.8000 c. 11: 1 3 2 2 3 SP D3 S SD: 15.0446 c. M: 24.4545 c. 14: 1 4 3 2 4 P SD: 15.4337 c. M: 25.0000 c. 21: 2 6 4 3 6 SP SD: 6.1518 c. M:-9.0000 c. 32: 3 9 6 5 9 SP SD: 3.9592 c. M:-6.7500 c. 53: 5 15 10 8 15 SP SD: 3.6826 c. M:-7.5094 c. 59: 5 17 11 9 17 SP SD: 4.6107 c. M: 6.5932 c. 66: 6 19 12 10 19 SP SD: 3.3641 c. M: 4.9394 c. 67: 6 19 13 10 19 SP SD: 2.7034 c. M: 4.4030 c. 80: 7 23 15 12 23 SP SD: 2.1368 c. M: 3.3000 c. 101: 9 29 19 15 29 SP SD: 1.3218 c. M: 2.8218 c. 112: 10 32 21 17 32 SP SD: 1.5652 c. M: 2.5000 c. 133: 12 38 25 20 38 SP SD: 1.1813 c. M:-2.2105 c. 168: 15 48 32 25 48 SP SD: 1.2472 c. M: 2.0000 c. 172: 15 50 32 26 49 SP SD: 1.1176 c. M:-1.7442 c. 193: 17 56 36 29 55 SP SD: 1.0191 c. M:-2.1710 c. 204: 18 59 38 31 58 SP SD: 0.7692 c. M:-1.1569 c. 225: 20 65 42 34 64 SP SD: 0.7915 c. M:-1.5778 c. 239: 21 69 45 36 68 SP SD: 0.5021 c. M: 0.8285 c. 271: 24 78 51 41 77 SP SD: 0.4811 c. M:-1.0369 c. 305: 27 88 57 46 87 SP SD: 0.4455 c. M: 0.6525 c. 319: 28 92 60 48 91 SP SD: 0.5223 c. M: 0.9467 c. 337: 30 97 63 51 96 SP SD: 0.5058 c. M: 0.8279 c. 340: 30 98 64 51 97 SP SD: 0.3042 c. M: 0.4588 c. 351: 31 101 66 53 100 SP SD: 0.3582 c. M: 0.6239 c. 372: 33 107 70 56 106 SP SD: 0.1722 c. M: 0.2688 c. 611: 54 176 115 92 174 SP SD: 0.1817 c. M:-0.2668 c. 677: 60 195 127 102 193 SP SD: 0.1640 c. M: 0.2408 c. 712: 63 205 134 107 203 SP SD: 0.1635 c. M: 0.2247 c. 916: 81 264 172 138 261 SP SD: 0.0700 c. M:-0.1092 c. 1288: 114 371 242 194 367 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 88.0000 cents 2 x x 3 x 4 S SD: 45.7473 cents 3 x 4 x 5:6 S SD: 32.0707 cents 4 x 5:6:7:8 S SD: 35.7050 cents 5 x 7:8:9:11 SD: 44.9191 cents 6:7:8:9:10:13 SD: 33.5065 cents 7:8:9:11:12:15 SD: 28.5913 cents 8:9:11:12:14:17 SD: 25.0471 cents 9:10:12:14:15:19 SD: 17.5052 cents 10:11:13:15:17:21 SD: 12.9530 cents 12:13:16:18:20:25 SD: 11.0346 cents 13:14:17:20:22:27 SD: 7.9960 cents 16:17:21:24:27:34 SD: 7.5572 cents 19:20:25:29:32:40 SD: 6.6385 cents 25:27:33:38:43:53 SD: 5.9309 cents 27:29:36:41:46:57 SD: 3.5346 cents 31:33:41:47:53:65 SD: 2.6148 cents 40:43:53:61:68:84 SD: 2.5387 cents 44:47:58:67:75:93 SD: 2.1019 cents 46:49:61:70:78:97 SD: 1.9356 cents 58:62:77:88:99:122 SD: 1.8208 cents 59:63:78:90:100:124 SD: 1.7993 cents 71:76:94:108:121:149 SD: 1.2917 cents 77:82:102:117:131:162 SD: 1.2238 cents 87:93:115:132:148:183 SD: 1.1909 cents 90:96:119:137:153:189 SD: 1.0088 cents 105:112:139:160:179:221 SD: 0.8197 cents 115:123:152:175:196:242 SD: 0.7612 cents 117:125:155:178:199:246 SD: 0.5814 cents 161:172:213:245:274:339 SD: 0.2646 cents 278:297:368:423:473:585 SD: 0.2366 cents 337:360:446:513:574:709 SD: 0.2341 cents 353:377:467:537:601:743 SD: 0.1987 cents 383:409:507:583:652:806 SD: 0.1512 cents 470:502:622:715:800:989 SD: 0.1396 cents 498:532:659:758:848:1048 SD: 0.1337 cents 544:581:720:828:926:1145 SD: 0.1107 cents 575:614:761:875:979:1210 SD: 0.1094 cents