Scala analysis: Korea_Sangyongsan_01
Sangyongsan 1 (Voice), Korea
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 141.000 cents 141.000000 2: 458.000 cents 458.000000 3: 705.000 cents 705.000000 4: 881.000 cents 881.000000 5: 1208.000 cents 1208.000000
SHOW/INTERVAL
0: 327.0000 cents 327.0000 1: 141.0000 cents 141.0000 2: 317.0000 cents 317.0000 3: 247.0000 cents 247.0000 4: 176.0000 cents 176.0000 5: 327.0000 cents 327.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 141.00000 cents 1: 1 176.00000 cents 1: 1 247.00000 cents 1: 1 317.00000 cents 1: 1 327.00000 cents 2: 1 423.00000 cents 2: 1 458.00000 cents 2: 1 468.00000 cents 2: 1 503.00000 cents 2: 1 564.00000 cents 3: 1 644.00000 cents 3: 1 705.00000 cents 3: 1 740.00000 cents 3: 1 750.00000 cents 3: 1 785.00000 cents 4: 1 881.00000 cents 4: 1 891.00000 cents 4: 1 961.00000 cents 4: 1 1032.00000 cents 4: 1 1067.00000 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 : 141.0 458.0 705.0 881.0 1208.0 141.0 : 317.0 564.0 740.0 1067.0 1208.0 458.0 : 247.0 423.0 750.0 891.0 1208.0 705.0 : 176.0 503.0 644.0 961.0 1208.0 881.0 : 327.0 468.0 785.0 1032.0 1208.0 1208.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 141.0000 .. 327.0000 cents 186.00000 cents 141.00000 cents 2: 423.0000 .. 564.0000 cents 141.00000 cents 96.00000 cents 3: 644.0000 .. 785.0000 cents 141.00000 cents 80.00000 cents 4: 881.0000 .. 1067.0000 cents 186.00000 cents 96.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 141.00000 cents, class 1 Average step (divided formal octave): 241.6000 cents Largest one step interval : 327.00000 cents Average / Smallest step : 1.713475 Largest / Average step : 1.353477 Largest / Smallest step : 2.319149 Median interval of one step : 247.00000 cents, amount: 1 Least squares average step : 231.56364 cents, oct.: 1157.81818 cents Scale is strictly proper Scale is a mode of a 1208-tone equal temperament with octave 1208.000 cents degrees: 141 458 705 881 1208 Least number of segments generator : 605 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 753 of 753.000 cents and inv. generated superset size: 104 = 99 more = 2080.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ADCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 80.00000 cents Scale diversity : 1.653171 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.458609 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 : 10.00000 cents Number of recognisable fifths : 1, average 705.0000 cents Number of recognisable fourths : 1, average 503.0000 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 176.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 60.7299 c. M:-100.6000 c. 7: 1 2 1 1 2 P M ME S SD: 31.9632 c. M:-59.7143 c. Thai mode 5 8: 1 2 2 1 2 P M ME S SD: 25.4951 c. M:-50.0000 c. 10: 1 3 2 1 3 P T3 SD: 23.1874 c. M: 35.4000 c. 11: 1 3 2 2 3 SP D3 S SD: 26.2808 c. M: 46.0909 c. 15: 2 4 3 2 4 SP T3 SD: 17.0495 c. M:-25.2000 c. 16: 2 4 3 3 4 SP D3 S SD: 16.7347 c. M: 25.5000 c. 18: 2 5 4 2 5 P T3 SD: 16.5019 c. M:-33.2222 c. 19: 2 5 4 3 5 SP SD: 9.7351 c. M: 13.8421 c. 26: 3 7 5 4 7 SP SD: 4.7904 c. M: 8.0769 c. 34: 4 9 7 5 9 SP SD: 4.4699 c. M:-7.2353 c. 45: 5 12 9 7 12 SP SD: 4.9386 c. M: 7.0444 c. 51: 6 13 11 7 14 SP SD: 4.8391 c. M: 7.9608 c. 53: 6 14 11 8 14 SP SD: 4.1857 c. M:-7.9057 c. 58: 7 15 12 8 16 SP SD: 3.7899 c. M: 6.2414 c. 60: 7 16 12 9 16 SP SD: 3.1455 c. M:-5.0667 c. 69: 8 18 14 10 19 SP SD: 3.5429 c. M: 5.6377 c. 74: 9 19 15 11 20 SP SD: 3.0156 c. M:-5.9189 c. 77: 9 20 16 11 21 SP SD: 1.8026 c. M: 3.0390 c. 103: 12 27 21 15 28 SP SD: 0.9029 c. M: 1.3883 c. 137: 16 36 28 20 37 SP SD: 0.4459 c. M:-0.7518 c. 240: 28 63 49 35 65 SP SD: 0.1700 c. M: 0.3333 c. 377: 44 99 77 55 102 SP SD: 0.1227 c. M:-0.2069 c. 591: 69 155 121 86 160 SP SD: 0.1054 c. M:-0.1777 c. 617: 72 162 126 90 167 SP SD: 0.1009 c. M: 0.1702 c. 728: 85 191 149 106 197 SP SD: 0.1121 c. M:-0.2198 c. 831: 97 218 170 121 225 SP SD: 0.0557 c. M: 0.0939 c. 968: 113 254 198 141 262 SP SD: 0.0421 c. M:-0.0826 c. 1208: 141 317 247 176 327 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 8.0000 cents 2 x x 3 x 4 S SD: 4.2800 cents 3 x 4 x 5:6 S SD: 13.6581 cents 4 x 5:6:7:8 S SD: 28.4227 cents 5 x x x 8:10 SD: 33.8937 cents 6:7:8:9:10:12 S SD: 26.4814 cents 7:8:9:11:12:14 SD: 26.4144 cents 8:9:10:12:13:16 SD: 20.7922 cents 9:10:12:14:15:18 S SD: 16.7129 cents 10:11:13:15:17:20 SD: 9.1230 cents 12:13:16:18:20:24 SD: 8.2318 cents 14:15:18:21:23:28 SD: 7.8169 cents 20:22:26:30:33:40 SD: 5.8684 cents 23:25:30:35:38:46 SD: 5.2750 cents 24:26:31:36:40:48 SD: 3.5386 cents 36:39:47:54:60:72 SD: 2.0335 cents 60:65:78:90:100:121 SD: 1.8036 cents 69:75:90:104:115:139 SD: 1.7300 cents 72:78:94:108:120:145 SD: 1.4863 cents 80:87:104:120:133:161 SD: 1.4159 cents 82:89:107:123:136:165 SD: 1.4096 cents 83:90:108:125:138:167 SD: 1.0396 cents 92:100:120:138:153:185 SD: 1.0310 cents 95:103:124:143:158:191 SD: 0.9323 cents 106:115:138:159:176:213 SD: 0.9183 cents 116:126:151:174:193:233 SD: 0.8149 cents 119:129:155:179:198:239 SD: 0.4849 cents 175:190:228:263:291:352 SD: 0.4812 cents 199:216:259:299:331:400 SD: 0.4244 cents 211:229:275:317:351:424 SD: 0.2055 cents 330:358:430:496:549:663 SD: 0.1143 cents 541:587:705:813:900:1087 SD: 0.1058 cents