Scala analysis: Indonesia_Zikrzamman
Zikrzamman, Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 245.000 cents 245.000000 2: 340.000 cents 340.000000 3: 525.000 cents 525.000000 4: 735.000 cents 735.000000 5: 840.000 cents 840.000000 6: 1050.000 cents 1050.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 150.0000 cents 150.0000 1: 245.0000 cents 245.0000 2: 95.0000 cents 95.0000 3: 185.0000 cents 185.0000 4: 210.0000 cents 210.0000 5: 105.0000 cents 105.0000 6: 210.0000 cents 210.0000 7: 150.0000 cents 150.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.00000 cents 1: 1 105.00000 cents 1: 1 150.00000 cents 1: 1 185.00000 cents 1: 2 210.00000 cents 1: 1 245.00000 cents 2: 1 280.00000 cents 2: 2 315.00000 cents 2: 1 340.00000 cents 2: 1 360.00000 cents 2: 2 395.00000 cents 3: 1 465.00000 cents 3: 2 490.00000 cents 3: 1 500.00000 cents 3: 2 525.00000 cents 3: 1 605.00000 cents 4: 1 595.00000 cents 4: 2 675.00000 cents 4: 1 700.00000 cents 4: 2 710.00000 cents 4: 1 735.00000 cents 5: 2 805.00000 cents 5: 1 840.00000 cents 5: 1 860.00000 cents 5: 2 885.00000 cents 5: 1 920.00000 cents 6: 1 955.00000 cents 6: 2 990.00000 cents 6: 1 1015.00000 cents 6: 1 1050.00000 cents 6: 1 1095.00000 cents 6: 1 1105.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.33333 = 16/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 245.0 340.0 525.0 735.0 840.0 1050.0 1200.0 245.0 : 95.0 280.0 490.0 595.0 805.0 955.0 1200.0 340.0 : 185.0 395.0 500.0 710.0 860.0 1105.0 1200.0 525.0 : 210.0 315.0 525.0 675.0 920.0 1015.0 1200.0 735.0 : 105.0 315.0 465.0 710.0 805.0 990.0 1200.0 840.0 : 210.0 360.0 605.0 700.0 885.0 1095.0 1200.0 1050.0: 150.0 395.0 490.0 675.0 885.0 990.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 245.0000 cents 150.00000 cents 95.00000 cents 2: 280.0000 .. 395.0000 cents 115.00000 cents 35.00000 cents 3: 465.0000 .. 605.0000 cents 140.00000 cents 70.00000 cents 4: 595.0000 .. 735.0000 cents 140.00000 cents -10.00000 cents 5: 805.0000 .. 920.0000 cents 115.00000 cents 70.00000 cents 6: 955.0000 .. 1105.0000 cents 150.00000 cents 35.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 95.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 245.00000 cents Average / Smallest step : 1.804511 Largest / Average step : 1.429167 Largest / Smallest step : 2.578947 Median interval of one step : 185.00000 cents, amount: 1 Most common interval of one step : 210.00000 cents, amount: 2 Least squares average step : 173.85714 cents, oct.: 1217.00000 cents Scale is not proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 49 68 105 147 168 210 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 233 of 1165.000 cents and inv. generated superset size: 45 = 38 more = 642.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEDF Step pattern size order : FADEBEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.631060 Lumma stability : 0.333333 Lumma impropriety factor : 0.008333 Rothenberg efficiency : 0.353741 redundancy: 0.646259 Efficiency x scale size : 2.476190 Number of different interval sizes : 32 = 5.33333 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.33333 = 16/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 10.00000 cents Number of recognisable fifths : 3, average 706.6667 cents 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: 35.2903 c. M: 73.5714 c. Lebeng 9: 2 1 1 2 0 2 1 N D3 SD: 38.2504 c. M:-65.0000 c. 10: 2 1 1 2 1 2 1 P M ME S SD: 22.5990 c. M: 45.0000 c. Sethares Neutral, Beatles-7, Dichotic-7 11: 2 1 2 2 1 2 1 P M ME S SD: 26.3608 c. M:-40.9091 c. 13: 3 1 2 2 1 2 2 N T3 SD: 23.9077 c. M: 34.6154 c. 14: 3 1 2 3 1 2 2 P T3 SD: 18.3245 c. M:-36.4286 c. 16: 3 2 2 3 1 3 2 P D3 SD: 17.2171 c. M:-35.0000 c. 17: 3 2 2 3 2 3 2 SP M ME S SD: 21.3852 c. M: 33.2353 c. Beatles-7, Dichotic-7 18: 4 1 3 3 2 3 2 P SD: 15.0000 c. M:-26.6667 c. 19: 4 1 3 4 1 4 2 N SD: 18.8151 c. M: 24.2105 c. 20: 4 2 3 3 2 4 2 P D3 S SD: 15.9239 c. M:-30.0000 c. 21: 4 2 3 4 2 3 3 SP T3 SD: 13.1348 c. M: 21.4286 c. 23: 5 2 3 4 2 4 3 N SD: 11.8863 c. M:-25.2174 c. 24: 5 2 4 4 2 4 3 P SD: 12.3924 c. M:-25.0000 c. 25: 5 2 4 4 3 4 3 SP SD: 11.2567 c. M:-24.0000 c. 26: 5 2 4 5 2 5 3 P SD: 12.0640 c. M: 17.3077 c. 29: 6 2 5 5 2 5 4 N SD: 10.3495 c. M: 15.5172 c. 30: 6 2 5 5 3 5 4 P SD: 10.5221 c. M: 20.0000 c. 31: 6 3 5 5 3 5 4 SP SD: 9.8417 c. M:-16.9355 c. 33: 7 2 5 6 3 6 4 N SD: 9.2566 c. M: 15.9091 c. 34: 7 3 5 6 3 6 4 P SD: 7.1415 c. M:-12.9412 c. 39: 8 3 6 7 3 7 5 N SD: 4.1297 c. M: 9.2308 c. 50: 10 4 8 9 4 9 6 P SD: 4.8844 c. M:-9.0000 c. 54: 11 4 9 9 5 9 7 P SD: 4.8930 c. M:-8.3333 c. 57: 12 4 9 10 5 10 7 N SD: 3.4784 c. M:-7.6316 c. 59: 12 5 9 10 5 11 7 N SD: 4.6575 c. M:-7.6271 c. 64: 13 5 10 11 6 11 8 P SD: 2.2658 c. M:-3.7500 c. 98: 20 8 15 17 9 17 12 P SD: 2.5063 c. M:-4.8980 c. 103: 21 8 16 18 9 18 13 N SD: 1.1787 c. M: 2.1359 c. 137: 28 11 21 24 12 24 17 N SD: 0.8862 c. M:-1.6058 c. 176: 36 14 27 31 15 31 22 N SD: 0.8239 c. M:-1.3636 c. 201: 41 16 31 35 18 35 25 N SD: 0.8013 c. M:-1.7910 c. 240: 49 19 37 42 21 42 30 N 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: 16.5225 cents 3 x x 4 x 5 x 6 S SD: 17.3021 cents 4 x 5 x 6 x 7:8 S SD: 24.7818 cents 5 x 6:7 x 8:9:10 S SD: 15.0245 cents 6:7 x 8:9:10:11:12 S SD: 10.8845 cents 7:8 x 9:11 x 13:14 SD: 20.9785 cents 8:9:10:11:12:13:15:16 SD: 12.0227 cents 10 x 12:14:15:16:18:20 S SD: 13.6782 cents 11:13 x 15:17:18:20:22 SD: 8.8637 cents 13:15:16:18:20:21:24:26 SD: 6.7034 cents 14:16:17:19:21:23:26:28 SD: 6.6408 cents 19:22:23:26:29:31:35:38 SD: 3.5306 cents 32:37:39:43:49:52:59:64 SD: 2.5540 cents 40:46:49:54:61:65:73:80 SD: 2.3037 cents 45:52:55:61:69:73:83:90 SD: 2.0862 cents 51:59:62:69:78:83:94:102 SD: 1.7091 cents 59:68:72:80:90:96:108:118 SD: 1.1241 cents 79:91:96:107:121:128:145:158 SD: 0.8895 cents 110:127:134:149:168:179:202:220 SD: 0.8374 cents 119:137:145:161:182:193:218:238 SD: 0.6512 cents 125:144:152:169:191:203:229:250 SD: 0.5589 cents 138:159:168:187:211:224:253:276 SD: 0.2796 cents 263:303:320:356:402:427:482:526 SD: 0.2690 cents 282:325:343:382:431:458:517:564 SD: 0.2306 cents 336:387:409:455:514:546:616:672 SD: 0.1967 cents 429:494:522:581:656:697:787:858 SD: 0.1437 cents 488:562:594:661:746:793:895:976 SD: 0.1326 cents 567:653:690:768:867:921:1040:1134 SD: 0.1003 cents