Scala analysis: Cambodia_Heptatonic_02
Heptatonic 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: 510.000 cents 510.000000 4: 700.000 cents 700.000000 5: 890.000 cents 890.000000 6: 1080.000 cents 1080.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 120.0000 cents 120.0000 1: 190.0000 cents 190.0000 2: 190.0000 cents 190.0000 3: 130.0000 cents 130.0000 4: 190.0000 cents 190.0000 5: 190.0000 cents 190.0000 6: 190.0000 cents 190.0000 7: 120.0000 cents 120.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.00000 cents 1: 1 130.00000 cents 1: 5 190.00000 cents 2: 2 310.00000 cents 2: 2 320.00000 cents 2: 3 380.00000 cents 3: 3 500.00000 cents 3: 3 510.00000 cents 3: 1 570.00000 cents 4: 1 630.00000 cents 4: 3 690.00000 cents 4: 3 700.00000 cents 5: 3 820.00000 cents 5: 2 880.00000 cents 5: 2 890.00000 cents 6: 5 1010.00000 cents 6: 1 1070.00000 cents 6: 1 1080.00000 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 6 7 0.0 : 190.0 380.0 510.0 700.0 890.0 1080.0 1200.0 190.0 : 190.0 320.0 510.0 700.0 890.0 1010.0 1200.0 380.0 : 130.0 320.0 510.0 700.0 820.0 1010.0 1200.0 510.0 : 190.0 380.0 570.0 690.0 880.0 1070.0 1200.0 700.0 : 190.0 380.0 500.0 690.0 880.0 1010.0 1200.0 890.0 : 190.0 310.0 500.0 690.0 820.0 1010.0 1200.0 1080.0: 120.0 310.0 500.0 630.0 820.0 1010.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.0000 .. 190.0000 cents 70.00000 cents 120.00000 cents 2: 310.0000 .. 380.0000 cents 70.00000 cents 120.00000 cents 3: 500.0000 .. 570.0000 cents 70.00000 cents 120.00000 cents 4: 630.0000 .. 700.0000 cents 70.00000 cents 60.00000 cents 5: 820.0000 .. 890.0000 cents 70.00000 cents 120.00000 cents 6: 1010.0000 .. 1080.0000 cents 70.00000 cents 120.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 190.00000 cents Average / Smallest step : 1.428571 Largest / Average step : 1.108333 Largest / Smallest step : 1.583333 Median interval of one step : 190.00000 cents, amount: 5 Most common interval of one step : 190.00000 cents, amount: 5 Least squares average step : 175.78571 cents, oct.: 1230.50000 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 51 70 89 108 120 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: 13 = 6 more = 185.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAC Step pattern size order : LLMLLLS Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 1 0 0 0 ] Scale is a Constant Structure, by a margin of 60.00000 cents Scale diversity : 1.311528 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.650000 Rothenberg efficiency : 0.544218 redundancy: 0.455782 Efficiency x scale size : 3.809524 Number of different interval sizes : 18 = 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: 5 Scale is a chain of 3 triads 0.0 500.000 1010.000 cents Most common triad is 0.0 190.000 1010.000 cents, amount: 3 Number of recognisable fifths : 6, average 695.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 70.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 28.4641 c. M: 51.4286 c. Lebeng 12: 2 2 1 2 2 2 1 P M ME S SD: 12.5357 c. M:-20.0000 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 19: 3 3 2 3 3 3 2 SP M ME S SD: 4.2246 c. M: 6.3158 c. Nineteen-tone Major, Ionian 50: 8 8 5 8 8 8 5 SP M DE S SD: 3.2950 c. M: 6.0000 c. Fifty tone Major 63: 10 10 7 10 10 10 6 SP T3 SD: 3.8223 c. M:-5.7143 c. 69: 11 11 7 11 11 11 7 SP M DE S SD: 3.1992 c. M: 5.6522 c. 70: 11 11 8 11 11 11 7 SP T3 SD: 2.3536 c. M:-4.2857 c. 82: 13 13 9 13 13 13 8 SP T3 SD: 1.9577 c. M:-2.9268 c. 89: 14 14 10 14 14 14 9 SP T3 SD: 1.5259 c. M: 2.4719 c. 101: 16 16 11 16 16 16 10 SP T3 SD: 0.7947 c. M:-1.1881 c. 120: 19 19 13 19 19 19 12 SP T3 SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.9775 cents 3 x x 4 x 5 x 6 S SD: 4.4064 cents 4 x 5 x 6:7 x 8 S SD: 19.7756 cents 5 x 6:7 x 8:9:10 S SD: 27.6536 cents 6:7 x 8:9:10:11:12 S SD: 13.9705 cents 7:8:9 x 11:12:13:14 SD: 19.3387 cents 8:9:10:11:12:13:15:16 SD: 9.5407 cents 12:13:15:16:18:20:22:24 SD: 8.8084 cents 15:17:19:20:22:25:28:30 SD: 7.9640 cents 16:18:20:21:24:27:30:32 S SD: 6.5393 cents 18:20:22:24:27:30:34:36 SD: 5.9615 cents 20:22:25:27:30:33:37:40 SD: 5.5598 cents 24:27:30:32:36:40:45:48 S SD: 3.1308 cents 36:40:45:48:54:60:67:72 SD: 2.4633 cents 44:49:55:59:66:74:82:88 SD: 1.8480 cents 52:58:65:70:78:87:97:104 SD: 1.1717 cents 70:78:87:94:105:117:131:140 SD: 1.0021 cents 94:105:117:126:141:157:175:188 SD: 0.8505 cents 110:123:137:148:165:184:205:220 SD: 0.8399 cents 114:127:142:153:171:191:213:228 SD: 0.7846 cents 119:133:148:160:178:199:222:238 SD: 0.7501 cents 122:136:152:164:183:204:228:244 SD: 0.6285 cents 146:163:182:196:219:244:272:292 SD: 0.5643 cents 155:173:193:208:232:259:289:310 SD: 0.3907 cents 207:231:258:278:310:346:386:414 SD: 0.3059 cents 225:251:280:302:337:376:420:450 SD: 0.2988 cents 269:300:335:361:403:450:502:538 SD: 0.2296 cents 277:309:345:372:415:463:517:554 SD: 0.1655 cents 464:518:578:623:695:776:866:928 SD: 0.1393 cents 534:596:665:717:800:893:996:1068 SD: 0.1323 cents