Scala analysis: Cambodia_Pentatonic_01
Pentatonic 1 (Sralai), Cambodia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 185.000 cents 185.000000 2: 380.000 cents 380.000000 3: 680.000 cents 680.000000 4: 875.000 cents 875.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 325.0000 cents 325.0000 1: 185.0000 cents 185.0000 2: 195.0000 cents 195.0000 3: 300.0000 cents 300.0000 4: 195.0000 cents 195.0000 5: 325.0000 cents 325.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 185.00000 cents 1: 2 195.00000 cents 1: 1 300.00000 cents 1: 1 325.00000 cents 2: 1 380.00000 cents 2: 2 495.00000 cents 2: 1 510.00000 cents 2: 1 520.00000 cents 3: 1 680.00000 cents 3: 1 690.00000 cents 3: 2 705.00000 cents 3: 1 820.00000 cents 4: 1 875.00000 cents 4: 1 900.00000 cents 4: 2 1005.00000 cents 4: 1 1015.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 185.0 380.0 680.0 875.0 1200.0 185.0 : 195.0 495.0 690.0 1015.0 1200.0 380.0 : 300.0 495.0 820.0 1005.0 1200.0 680.0 : 195.0 520.0 705.0 900.0 1200.0 875.0 : 325.0 510.0 705.0 1005.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 185.0000 .. 325.0000 cents 140.00000 cents 185.00000 cents 2: 380.0000 .. 520.0000 cents 140.00000 cents 55.00000 cents 3: 680.0000 .. 820.0000 cents 140.00000 cents 160.00000 cents 4: 875.0000 .. 1015.0000 cents 140.00000 cents 55.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 185.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 325.00000 cents Average / Smallest step : 1.297297 Largest / Average step : 1.354167 Largest / Smallest step : 1.756757 Median interval of one step : 195.00000 cents, amount: 2 Most common interval of one step : 195.00000 cents, amount: 2 Least squares average step : 227.00000 cents, oct.: 1135.00000 cents Scale is strictly proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 37 76 136 175 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 137 of 685.000 cents and inv. generated superset size: 61 = 56 more = 1220.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBD Step pattern size order : ABCBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 55.00000 cents Scale diversity : 1.402420 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.533333 Rothenberg efficiency : 0.480000 redundancy: 0.520000 Efficiency x scale size : 2.400000 Number of different interval sizes : 16 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 10.00000 cents Number of recognisable fifths : 3, average 700.0000 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: 66.1060 c. M:-100.0000 c. 6: 1 1 1 1 2 P M ME S SD: 50.2991 c. M: 80.0000 c. 7: 1 1 2 1 2 P M ME S SD: 19.5719 c. M: 37.1429 c. Thai mode 1 12: 2 2 3 2 3 SP M ME S SD: 18.1659 c. M:-25.0000 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 18: 3 3 4 3 5 SP T3 SD: 13.2077 c. M:-20.0000 c. 19: 3 3 5 3 5 SP M DE S SD: 8.0390 c. M:-14.7368 c. Nineteen-tone Major Pentatonic 25: 4 4 6 4 7 SP T3 SD: 7.0711 c. M: 11.0000 c. 32: 5 5 8 5 9 SP T3 SD: 6.5192 c. M: 12.5000 c. 34: 5 6 8 6 9 SP SD: 7.5262 c. M: 9.4118 c. 37: 6 6 9 6 10 SP T3 SD: 5.9686 c. M:-9.5946 c. 41: 6 7 10 7 11 SP SD: 5.3731 c. M: 9.3902 c. 44: 7 7 11 7 12 SP T3 SD: 3.0560 c. M:-5.9091 c. 51: 8 8 13 8 14 SP T3 SD: 3.0959 c. M: 4.4118 c. 63: 10 10 16 10 17 SP T3 SD: 3.6046 c. M:-5.7143 c. 67: 10 11 17 11 18 SP SD: 3.3762 c. M: 5.8955 c. 70: 11 11 18 11 19 SP T3 SD: 3.2888 c. M:-5.7143 c. 73: 11 12 18 12 20 SP SD: 3.7856 c. M: 6.0274 c. 76: 12 12 19 12 21 SP T3 SD: 3.6197 c. M: 6.5789 c. 78: 12 13 19 13 21 SP SD: 2.6312 c. M:-4.6154 c. 85: 13 14 21 14 23 SP SD: 1.3542 c. M: 2.3529 c. 92: 14 15 23 15 25 SP SD: 1.6093 c. M: 2.3913 c. 104: 16 17 26 17 28 SP SD: 1.0030 c. M:-1.9231 c. 111: 17 18 28 18 30 SP SD: 1.0709 c. M: 1.6216 c. 129: 20 21 32 21 35 SP SD: 0.9215 c. M:-1.3953 c. 136: 21 22 34 22 37 SP SD: 0.7670 c. M: 1.4706 c. 155: 24 25 39 25 42 SP SD: 0.7426 c. M:-1.2903 c. 189: 29 31 47 31 51 SP SD: 0.8354 c. M:-1.1905 c. 196: 30 32 49 32 53 SP SD: 0.6860 c. M: 1.3265 c. 233: 36 38 58 38 63 SP SD: 0.5880 c. M:-1.1159 c. 240: 37 39 60 39 65 SP 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: 10.9775 cents 3 x 4 x 5:6 S SD: 39.4718 cents 4 x 5:6:7:8 S SD: 24.1418 cents 5 x 6:7:8:10 S SD: 32.9823 cents 6:7 x 9:10:12 SD: 21.3197 cents 8:9:10:12:13:16 SD: 9.0946 cents 16:18:20:24:27:32 SD: 8.5607 cents 17:19:21:25:28:34 SD: 4.6212 cents 25:28:31:37:41:50 SD: 4.6015 cents 27:30:34:40:45:54 SD: 4.2847 cents 29:32:36:43:48:58 SD: 3.1953 cents 36:40:45:53:60:72 SD: 3.1142 cents 37:41:46:55:61:74 SD: 2.7674 cents 44:49:55:65:73:88 SD: 1.5981 cents 61:68:76:90:101:122 SD: 1.5273 cents 62:69:77:92:103:124 SD: 1.3947 cents 70:78:87:104:116:140 SD: 1.3835 cents 73:81:91:108:121:146 SD: 1.1112 cents 81:90:101:120:134:162 SD: 0.9679 cents 106:118:132:157:176:212 SD: 0.5802 cents 114:127:142:169:189:228 SD: 0.5075 cents 143:159:178:212:237:286 SD: 0.4788 cents 187:208:233:277:310:374 SD: 0.2165 cents 301:335:375:446:499:602 SD: 0.1941 cents 310:345:386:459:514:620 SD: 0.1598 cents 391:435:487:579:648:782 SD: 0.1315 cents 497:553:619:736:824:994 SD: 0.0814 cents 505:562:629:748:837:1010 SD: 0.0695 cents