Scala analysis: CD10_03_Egypt
Je ef Ez Maro'ot / Je peniot / Tihirini - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 118.510 cents 118.509915 2: 320.030 cents 320.030062 3: 1044.273 cents 1044.272866 4: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 155.7271 cents 155.7271 1: 118.5099 cents 118.5099 2: 201.5201 cents 201.5201 3: 724.2428 cents 724.2428 4: 155.7271 cents 155.7271
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.50992 cents 1: 1 155.72713 cents 1: 1 201.52015 cents 1: 1 724.24280 cents 2: 1 274.23705 cents 2: 1 320.03006 cents 2: 1 879.96994 cents 2: 1 925.76295 cents 3: 1 475.75720 cents 3: 1 998.47985 cents 3: 1 1044.27287 cents 3: 1 1081.49008 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 0.0 : 118.5 320.0 1044.3 1200.0 118.5 : 201.5 925.8 1081.5 1200.0 320.0 : 724.2 880.0 998.5 1200.0 1044.3: 155.7 274.2 475.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.5099 .. 724.2428 cents 605.73289 cents 118.50992 cents 2: 274.2370 .. 925.7630 cents 651.52590 cents -450.00575 cents 3: 475.7572 .. 1081.4901 cents 605.73289 cents -450.00575 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 118.50992 cents, class 1 Average step (divided formal octave): 300.0000 cents Largest one step interval : 724.24280 cents Average / Smallest step : 2.531434 Largest / Average step : 2.414143 Largest / Smallest step : 6.111242 Median interval of one step : 178.62364 cents, amount: 0 Least squares average step : 289.71295 cents, oct.: 1158.85182 cents Scale is not proper Step pattern alph. order: ABCD Step pattern size order : ACDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 72.71690 cents Scale diversity : 1.584647 Lumma stability : 0.197517 Lumma impropriety factor : 0.542938 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 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 : 37.21722 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 25.0000% Limited inverse transpositions with margin 605.7329 cents: 1 -- Rational properties --
FIT/MODE
4: 0 1 2 1 N D3 SD: 93.8888 c. M: 144.2729 c. 5: 0 1 3 1 N D3 SD: 82.9930 c. M: 118.5099 c. 7: 1 1 4 1 N M DE SD: 29.8663 c. M:-52.9187 c. 8: 1 1 5 1 N M DE SD: 18.8788 c. M:-31.4901 c. 17: 2 3 10 2 N SD: 21.2640 c. M:-32.9111 c. 18: 2 3 11 2 N SD: 14.9849 c. M:-22.3938 c. 22: 2 4 13 3 N SD: 7.1367 c. M: 9.4190 c. 23: 2 4 14 3 N SD: 7.9058 c. M: 14.1621 c. 29: 3 5 17 4 N SD: 7.8838 c. M:-11.0044 c. 30: 3 5 18 4 N SD: 2.2627 c. M: 4.2729 c. 63: 6 11 38 8 N SD: 3.2911 c. M: 4.2242 c. 68: 7 11 41 9 N SD: 3.1805 c. M:-5.0195 c. 70: 7 12 42 9 N SD: 3.0252 c. M:-5.6842 c. 71: 7 12 43 9 N SD: 1.8912 c. M:-3.6145 c. 83: 8 14 50 11 N SD: 2.3921 c. M: 3.3090 c. 91: 9 15 55 12 N SD: 2.1755 c. M: 3.5465 c. 93: 9 16 56 12 N SD: 1.8002 c. M:-2.5506 c. 101: 10 17 61 13 N SD: 0.7565 c. M:-1.2717 c. 131: 13 22 79 17 N SD: 0.4082 c. M:-0.5806 c. 232: 23 39 140 30 N SD: 0.4874 c. M:-0.6596 c. 255: 25 43 154 33 N SD: 0.4829 c. M: 0.8629 c. 263: 26 44 159 34 N SD: 0.4402 c. M: 0.6384 c. 285: 28 48 172 37 N SD: 0.3095 c. M: 0.6152 c. 293: 29 49 177 38 N SD: 0.3199 c. M: 0.5761 c. 315: 31 53 190 41 N SD: 0.3113 c. M: 0.4633 c. 386: 38 65 233 50 N SD: 0.2522 c. M: 0.3752 c. 416: 41 70 251 54 N SD: 0.1466 c. M: 0.2407 c. 547: 54 92 330 71 N SD: 0.1341 c. M:-0.2624 c. 679: 67 114 410 88 N SD: 0.1357 c. M:-0.2043 c. 709: 70 119 428 92 N SD: 0.0737 c. M: 0.1429 c. 840: 83 141 507 109 N SD: 0.0348 c. M:-0.0615 c. 1256: 124 211 758 163 N SD: 0.0257 c. M: 0.0386 c. 1965: 194 330 1186 255 N SD: 0.0237 c. M: 0.0366 c. 2096: 207 352 1265 272 N SD: 0.0042 c. M:-0.0081 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.0000 cents 2 x x x 4 S SD: 0.0000 cents 3 x 4 x 6 S SD: 89.0075 cents 4 x 5:7:8 SD: 33.4760 cents 5 x 6:9:10 S SD: 9.0117 cents 6 x 7:11:12 SD: 17.8008 cents 7 x 8:13:14 SD: 30.9977 cents 8:9:10:15:16 S SD: 29.1787 cents 9:10:11:16:18 SD: 21.1447 cents 10:11:12:18:20 S SD: 13.4458 cents 11:12:13:20:22 SD: 11.3691 cents 13:14:16:24:26 S SD: 11.0278 cents 14:15:17:26:28 SD: 7.9546 cents 15:16:18:27:30 S SD: 6.9680 cents 24:26:29:44:48 SD: 5.5117 cents 25:27:30:46:50 SD: 4.7797 cents 28:30:34:51:56 SD: 4.3183 cents 29:31:35:53:58 SD: 1.5819 cents 59:63:71:108:118 SD: 1.3821 cents 69:74:83:126:138 SD: 0.7886 cents 98:105:118:179:196 SD: 0.5534 cents 99:106:119:181:198 SD: 0.3819 cents 128:137:154:234:256 SD: 0.2235 cents 197:211:237:360:394 SD: 0.1545 cents 296:317:356:541:592 SD: 0.1420 cents 325:348:391:594:650 SD: 0.0706 cents