Scala analysis: Cambodia_Heptatonic_01
Heptatonic 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: 485.000 cents 485.000000 4: 680.000 cents 680.000000 5: 875.000 cents 875.000000 6: 1060.000 cents 1060.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 140.0000 cents 140.0000 1: 185.0000 cents 185.0000 2: 195.0000 cents 195.0000 3: 105.0000 cents 105.0000 4: 195.0000 cents 195.0000 5: 195.0000 cents 195.0000 6: 185.0000 cents 185.0000 7: 140.0000 cents 140.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.00000 cents 1: 1 140.00000 cents 1: 2 185.00000 cents 1: 3 195.00000 cents 2: 2 300.00000 cents 2: 2 325.00000 cents 2: 2 380.00000 cents 2: 1 390.00000 cents 3: 1 485.00000 cents 3: 2 495.00000 cents 3: 1 510.00000 cents 3: 2 520.00000 cents 3: 1 575.00000 cents 4: 1 625.00000 cents 4: 2 680.00000 cents 4: 1 690.00000 cents 4: 2 705.00000 cents 4: 1 715.00000 cents 5: 1 810.00000 cents 5: 2 820.00000 cents 5: 2 875.00000 cents 5: 2 900.00000 cents 6: 3 1005.00000 cents 6: 2 1015.00000 cents 6: 1 1060.00000 cents 6: 1 1095.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.33333 = 13/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 185.0 380.0 485.0 680.0 875.0 1060.0 1200.0 185.0 : 195.0 300.0 495.0 690.0 875.0 1015.0 1200.0 380.0 : 105.0 300.0 495.0 680.0 820.0 1005.0 1200.0 485.0 : 195.0 390.0 575.0 715.0 900.0 1095.0 1200.0 680.0 : 195.0 380.0 520.0 705.0 900.0 1005.0 1200.0 875.0 : 185.0 325.0 510.0 705.0 810.0 1005.0 1200.0 1060.0: 140.0 325.0 520.0 625.0 820.0 1015.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.0000 .. 195.0000 cents 90.00000 cents 105.00000 cents 2: 300.0000 .. 390.0000 cents 90.00000 cents 105.00000 cents 3: 485.0000 .. 575.0000 cents 90.00000 cents 95.00000 cents 4: 625.0000 .. 715.0000 cents 90.00000 cents 50.00000 cents 5: 810.0000 .. 900.0000 cents 90.00000 cents 95.00000 cents 6: 1005.0000 .. 1095.0000 cents 90.00000 cents 105.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 195.00000 cents Average / Smallest step : 1.632653 Largest / Average step : 1.137500 Largest / Smallest step : 1.857143 Median interval of one step : 185.00000 cents, amount: 2 Most common interval of one step : 195.00000 cents, amount: 3 Least squares average step : 173.25000 cents, oct.: 1212.75000 cents Scale is strictly proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 37 76 97 136 175 212 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 227 of 1135.000 cents and inv. generated superset size: 77 = 70 more = 1100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBBAD Step pattern size order : CDADDCB Scale is a Constant Structure, by a margin of 50.00000 cents Scale diversity : 1.449688 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.550000 Rothenberg efficiency : 0.395918 redundancy: 0.604082 Efficiency x scale size : 2.771429 Number of different interval sizes : 26 = 4.33333 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.33333 = 13/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 10.00000 cents Most common intervals : 195.00000 cents & inv., amount: 3 Number of recognisable fifths : 4, average 703.7500 cents Number of appreciable fifths : 3, average 700.0000 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 23.1785 c. M: 37.1429 c. Lebeng 12: 2 2 1 2 2 2 1 P M ME S SD: 22.2807 c. M:-40.0000 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 15: 2 3 1 2 3 2 2 P D3 SD: 20.9591 c. M: 40.0000 c. 17: 3 2 2 3 2 3 2 SP M ME S SD: 20.6455 c. M: 27.9412 c. Beatles-7, Dichotic-7 18: 3 3 1 3 3 3 2 P T3 SD: 13.3779 c. M:-20.0000 c. 19: 3 3 2 3 3 3 2 SP M ME S SD: 11.4704 c. M:-20.2632 c. Nineteen-tone Major, Ionian 25: 4 4 2 4 4 4 3 SP T3 SD: 6.4476 c. M: 11.0000 c. 32: 5 5 3 5 5 5 4 SP T3 SD: 6.7480 c. M: 12.5000 c. 34: 5 6 3 5 6 5 4 SP SD: 7.2480 c. M: 9.4118 c. 37: 6 6 3 6 6 6 4 SP T3 SD: 6.3898 c. M:-10.2703 c. 44: 7 7 4 7 7 7 5 SP T3 SD: 3.6807 c. M:-5.9091 c. 60: 9 10 5 10 10 9 7 SP SD: 3.2733 c. M: 5.0000 c. 67: 10 11 6 11 11 10 8 SP SD: 3.1575 c. M: 5.8955 c. 79: 12 13 7 13 13 12 9 SP SD: 3.1208 c. M:-6.0127 c. 85: 13 14 7 14 14 13 10 SP SD: 2.2537 c. M: 5.0000 c. 86: 13 14 8 14 14 13 10 SP SD: 3.0610 c. M:-4.0698 c. 92: 14 15 8 15 15 14 11 SP SD: 2.0964 c. M: 3.4783 c. 104: 16 17 9 17 17 16 12 SP SD: 1.0382 c. M:-1.9231 c. 111: 17 18 10 18 18 17 13 SP SD: 1.0847 c. M: 1.6216 c. 129: 20 21 11 21 21 20 15 SP SD: 0.9333 c. M:-1.3953 c. 136: 21 22 12 22 22 21 16 SP SD: 0.7939 c. M: 1.4706 c. 196: 30 32 17 32 32 30 23 SP SD: 0.8263 c. M: 1.3265 c. 215: 33 35 19 35 35 33 25 SP SD: 0.7497 c. M:-1.2791 c. 233: 36 38 20 38 38 36 27 SP SD: 0.6964 c. M:-1.1159 c. 240: 37 39 21 39 39 37 28 SP 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: 10.9775 cents 3 x x 4 x 5 x 6 S SD: 5.3516 cents 4 x 5 x 6 x 7:8 S SD: 23.4981 cents 5 x 6 x 7:8:9:10 S SD: 27.7152 cents 6:7 x 8:9:10:11:12 S SD: 14.4873 cents 7:8 x 9:10:12:13:14 S SD: 18.2934 cents 8:9:10:11:12:13:15:16 SD: 12.1764 cents 9:10:11:12:13:15:17:18 SD: 9.9934 cents 12:13:15:16:18:20:22:24 SD: 7.8873 cents 15:17:19:20:22:25:28:30 SD: 7.5956 cents 17:19:21:23:25:28:31:34 SD: 6.9971 cents 18:20:22:24:27:30:33:36 S SD: 6.2628 cents 19:21:24:25:28:31:35:38 SD: 5.8360 cents 21:23:26:28:31:35:39:42 SD: 5.1298 cents 24:27:30:32:36:40:44:48 S SD: 5.0515 cents 25:28:31:33:37:41:46:50 SD: 3.4025 cents 33:37:41:44:49:55:61:66 SD: 3.1251 cents 37:41:46:49:55:61:68:74 SD: 2.1852 cents 44:49:55:58:65:73:81:88 SD: 1.5748 cents 52:58:65:69:77:86:96:104 SD: 1.4043 cents 62:69:77:82:92:103:114:124 SD: 1.2823 cents 77:86:96:102:114:128:142:154 SD: 1.2060 cents 81:90:101:107:120:134:149:162 SD: 1.0690 cents 90:100:112:119:133:149:166:180 SD: 0.7932 cents 114:127:142:151:169:189:210:228 SD: 0.5475 cents 143:159:178:189:212:237:264:286 SD: 0.5033 cents 167:186:208:221:247:277:308:334 SD: 0.4371 cents 179:199:223:237:265:297:330:358 SD: 0.4009 cents 195:217:243:258:289:323:360:390 SD: 0.3531 cents 204:227:254:270:302:338:376:408 SD: 0.2746 cents 257:286:320:340:381:426:474:514 SD: 0.2537 cents 310:345:386:410:459:514:572:620 SD: 0.1933 cents 362:403:451:479:536:600:668:724 SD: 0.1814 cents 374:416:466:495:554:620:690:748 SD: 0.1639 cents 399:444:497:528:591:661:736:798 SD: 0.1596 cents 424:472:528:561:628:703:782:848 SD: 0.1259 cents 578:643:720:765:856:958:1066:1156 SD: 0.1116 cents