Scala analysis: Cambodia_Pentatonic_02
Pentatonic 2 (Roneat Ek), Cambodia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 190.000 cents 190.000000 2: 380.000 cents 380.000000 3: 700.000 cents 700.000000 4: 890.000 cents 890.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 310.0000 cents 310.0000 1: 190.0000 cents 190.0000 2: 190.0000 cents 190.0000 3: 320.0000 cents 320.0000 4: 190.0000 cents 190.0000 5: 310.0000 cents 310.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 190.00000 cents 1: 1 310.00000 cents 1: 1 320.00000 cents 2: 1 380.00000 cents 2: 2 500.00000 cents 2: 2 510.00000 cents 3: 2 690.00000 cents 3: 2 700.00000 cents 3: 1 820.00000 cents 4: 1 880.00000 cents 4: 1 890.00000 cents 4: 3 1010.00000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 190.0 380.0 700.0 890.0 1200.0 190.0 : 190.0 510.0 700.0 1010.0 1200.0 380.0 : 320.0 510.0 820.0 1010.0 1200.0 700.0 : 190.0 500.0 690.0 880.0 1200.0 890.0 : 310.0 500.0 690.0 1010.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 190.0000 .. 320.0000 cents 130.00000 cents 190.00000 cents 2: 380.0000 .. 510.0000 cents 130.00000 cents 60.00000 cents 3: 690.0000 .. 820.0000 cents 130.00000 cents 180.00000 cents 4: 880.0000 .. 1010.0000 cents 130.00000 cents 60.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 190.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 320.00000 cents Average / Smallest step : 1.263158 Largest / Average step : 1.333333 Largest / Smallest step : 1.684211 Median interval of one step : 190.00000 cents, amount: 3 Most common interval of one step : 190.00000 cents, amount: 3 Least squares average step : 229.27273 cents, oct.: 1146.36364 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 120-tone equal temperament with octave 1200.000 cents degrees: 19 38 70 89 120 Least number of segments generator : 61 of 610.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 101 of 1010.000 cents and inv. generated superset size: 12 = 7 more = 240.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAC Step pattern size order : SSLSM Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 60.00000 cents Scale diversity : 1.328276 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.566667 Rothenberg efficiency : 0.580000 redundancy: 0.420000 Efficiency x scale size : 2.900000 Number of different interval sizes : 12 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 10.00000 cents Most common intervals : 190.00000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 510.000 1010.000 cents Number of recognisable fifths : 4, average 695.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 130.0000 cents: 2 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 59.6657 c. M:-100.0000 c. 6: 1 1 2 0 2 P D3 S SD: 60.9918 c. M:-100.0000 c. 7: 1 1 2 1 2 P M ME S SD: 24.5282 c. M: 37.1429 c. Thai mode 1 12: 2 2 3 2 3 SP M ME S SD: 10.9545 c. M:-20.0000 c. Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Bilahari, Deskar, Kokila, Jait Kalyan, Mohanam, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia 19: 3 3 5 3 5 SP M DE S SD: 3.5385 c. M: 5.7895 c. Nineteen-tone Major Pentatonic 50: 8 8 13 8 13 SP M DE S SD: 2.8284 c. M: 4.0000 c. 63: 10 10 17 10 16 SP T3 SD: 3.2015 c. M:-5.2381 c. 69: 11 11 18 11 18 SP M DE S SD: 2.7082 c. M: 4.3478 c. 70: 11 11 19 11 18 SP T3 SD: 2.0203 c. M: 2.8571 c. 82: 13 13 22 13 21 SP T3 SD: 1.6398 c. M:-2.6829 c. 89: 14 14 24 14 23 SP T3 SD: 1.3351 c. M: 2.4719 c. 101: 16 16 27 16 26 SP T3 SD: 0.6657 c. M:-1.0891 c. 120: 19 19 32 19 31 SP T3 SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.9775 cents 3 x 4 x 5:6 S SD: 39.3932 cents 4 x 5:6:7:8 S SD: 19.7756 cents 5 x 6 x 8:10 S SD: 33.2763 cents 6:7 x 9:10:12 SD: 19.2756 cents 8:9:10:12:13:16 SD: 10.3628 cents 16:18:20:24:27:32 SD: 4.4221 cents 24:27:30:36:40:48 S SD: 3.2802 cents 34:38:42:51:57:68 SD: 3.0440 cents 36:40:45:54:60:72 S SD: 2.3084 cents 52:58:65:78:87:104 SD: 1.3505 cents 70:78:87:105:117:140 SD: 0.9877 cents 86:96:107:129:144:172 SD: 0.7162 cents 94:105:117:141:157:188 SD: 0.6733 cents 122:136:152:183:204:244 SD: 0.5636 cents 146:163:182:219:244:292 SD: 0.5497 cents 147:164:183:220:246:294 SD: 0.5206 cents 155:173:193:232:259:310 SD: 0.4351 cents 171:191:213:256:286:342 SD: 0.4233 cents 199:222:248:298:333:398 SD: 0.4100 cents 207:231:258:310:346:414 SD: 0.3324 cents 241:269:300:361:403:482 SD: 0.2068 cents 277:309:345:415:463:554 SD: 0.1980 cents 293:327:365:439:490:586 SD: 0.0953 cents 534:596:665:800:893:1068 SD: 0.0744 cents