Scala analysis: CD05_11_Egypt
La chance de la vie - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 218.819 cents 218.819067 2: 357.978 cents 357.977507 3: 504.786 cents 504.786142 4: 709.637 cents 709.637000 5: 919.502 cents 919.502416 6: 1061.075 cents 1061.074503 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 138.9255 cents 138.9255 1: 218.8191 cents 218.8191 2: 139.1584 cents 139.1584 3: 146.8086 cents 146.8086 4: 204.8509 cents 204.8509 5: 209.8654 cents 209.8654 6: 141.5721 cents 141.5721 7: 138.9255 cents 138.9255
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.92550 cents 1: 1 139.15844 cents 1: 1 141.57209 cents 1: 1 146.80864 cents 1: 1 204.85086 cents 1: 1 209.86542 cents 1: 1 218.81907 cents 2: 1 280.49758 cents 2: 1 285.96708 cents 2: 1 351.43750 cents 2: 1 351.65949 cents 2: 1 357.74456 cents 2: 1 357.97751 cents 2: 1 414.71627 cents 3: 1 490.36300 cents 3: 1 490.81793 cents 3: 1 496.90300 cents 3: 1 499.31665 cents 3: 1 504.78614 cents 3: 1 556.28836 cents 3: 1 561.52491 cents 4: 1 638.47509 cents 4: 1 643.71164 cents 4: 1 695.21386 cents 4: 1 700.68335 cents 4: 1 703.09700 cents 4: 1 709.18207 cents 4: 1 709.63700 cents 5: 1 785.28373 cents 5: 1 842.02249 cents 5: 1 842.25544 cents 5: 1 848.34051 cents 5: 1 848.56250 cents 5: 1 914.03292 cents 5: 1 919.50242 cents 6: 1 981.18093 cents 6: 1 990.13458 cents 6: 1 995.14914 cents 6: 1 1053.19137 cents 6: 1 1058.42791 cents 6: 1 1060.84156 cents 6: 1 1061.07450 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 218.8 358.0 504.8 709.6 919.5 1061.1 1200.0 218.8 : 139.2 286.0 490.8 700.7 842.3 981.2 1200.0 358.0 : 146.8 351.7 561.5 703.1 842.0 1060.8 1200.0 504.8 : 204.9 414.7 556.3 695.2 914.0 1053.2 1200.0 709.6 : 209.9 351.4 490.4 709.2 848.3 995.1 1200.0 919.5 : 141.6 280.5 499.3 638.5 785.3 990.1 1200.0 1061.1: 138.9 357.7 496.9 643.7 848.6 1058.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.9255 .. 218.8191 cents 79.89357 cents 138.92550 cents 2: 280.4976 .. 414.7163 cents 134.21869 cents 61.67852 cents 3: 490.3630 .. 561.5249 cents 71.16191 cents 75.64673 cents 4: 638.4751 .. 709.6370 cents 71.16191 cents 76.95018 cents 5: 785.2837 .. 919.5024 cents 134.21869 cents 75.64673 cents 6: 981.1809 .. 1061.0745 cents 79.89357 cents 61.67852 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 138.92550 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.81907 cents Average / Smallest step : 1.233960 Largest / Average step : 1.276445 Largest / Smallest step : 1.575082 Median interval of one step : 146.80864 cents, amount: 1 Least squares average step : 176.08314 cents, oct.: 1232.58198 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GBDEFCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 61.67852 cents Scale diversity : 1.417789 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.524543 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.22199 cents Number of recognisable fifths : 5, average 703.5627 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 134.2187 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 33.9794 c. M: 62.3596 c. Lebeng 9: 2 1 1 1 2 1 1 P M ME S SD: 31.4852 c. M:-47.8476 c. 10: 2 1 1 2 2 1 1 P D3 S SD: 21.2895 c. M:-40.4976 c. Pseudo Rast 14: 3 1 2 2 3 1 2 P T3 SD: 23.7901 c. M:-38.3238 c. 16: 3 2 2 2 3 2 2 SP M ME S SD: 18.6673 c. M: 34.6370 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 5.4974 c. M: 10.6685 c. Pseudo Rast 43: 8 5 5 7 8 5 5 SP SD: 5.2701 c. M: 11.9626 c. 53: 10 6 6 9 10 6 6 SP SD: 6.1825 c. M:-8.7995 c. 54: 10 6 7 9 9 7 6 SP S SD: 4.8005 c. M: 8.3913 c. 59: 11 7 7 10 10 7 7 SP S SD: 4.4498 c. M:-8.1242 c. 60: 11 7 7 10 11 7 7 SP SD: 4.1861 c. M: 9.6370 c. 61: 11 7 8 10 11 7 7 SP SD: 3.6864 c. M:-6.6893 c. 64: 12 7 8 11 11 8 7 SP S SD: 3.9822 c. M:-7.6755 c. 69: 13 8 8 12 12 8 8 SP S SD: 4.1761 c. M:-7.2679 c. 71: 13 8 9 12 12 9 8 SP S SD: 3.2870 c. M: 6.8264 c. 76: 14 9 9 13 13 9 9 SP S SD: 2.8471 c. M:-5.1804 c. 78: 14 9 10 13 14 9 9 SP SD: 2.7796 c. M: 4.1314 c. 81: 15 9 10 14 14 10 9 SP S SD: 2.7525 c. M:-5.5922 c. 86: 16 10 10 15 15 10 10 SP S SD: 2.8102 c. M:-4.8132 c. 88: 16 10 11 15 15 11 10 SP S SD: 2.7650 c. M: 5.8661 c. 93: 17 11 11 16 16 11 11 SP S SD: 2.2084 c. M: 3.3734 c. 103: 19 12 12 18 18 12 12 SP S SD: 2.1979 c. M: 3.8153 c. 110: 20 13 13 19 19 13 13 SP S SD: 2.1322 c. M: 3.1388 c. 120: 22 14 14 21 21 14 14 SP S SD: 2.0676 c. M: 4.7861 c. 121: 22 14 15 21 21 14 14 SP SD: 2.0596 c. M:-4.4126 c. 127: 23 15 15 22 22 15 15 SP S SD: 2.2998 c. M: 3.9987 c. 128: 23 15 16 22 22 15 15 SP SD: 1.9632 c. M: 3.1941 c. 130: 24 15 16 22 23 15 15 SP SD: 2.2105 c. M:-3.5745 c. 137: 25 16 17 23 24 16 16 SP SD: 1.3842 c. M:-3.2431 c. 147: 27 17 18 25 26 17 17 SP SD: 1.4537 c. M:-2.9466 c. 150: 27 18 18 26 26 18 17 SP SD: 1.9656 c. M:-2.9255 c. 154: 28 18 19 26 27 18 18 SP SD: 0.8957 c. M:-1.7074 c. 164: 30 19 20 28 29 19 19 SP SD: 0.9872 c. M:-2.4488 c. 171: 31 20 21 29 30 20 20 SP SD: 0.8179 c. M: 1.4254 c. 235: 43 27 29 40 41 28 27 SP SD: 0.6170 c. M:-1.0532 c. 252: 46 29 31 43 44 30 29 SP SD: 0.4867 c. M: 0.8346 c. 389: 71 45 48 66 68 46 45 SP SD: 0.4482 c. M:-1.1265 c. 399: 73 46 49 68 70 47 46 SP SD: 0.5013 c. M:-0.7983 c. 406: 74 47 50 69 71 48 47 SP SD: 0.3136 c. M:-0.6326 c. 423: 77 49 52 72 74 50 49 SP SD: 0.3301 c. M: 0.5307 c. 509: 93 59 62 87 89 60 59 SP SD: 0.2481 c. M:-0.4344 c. 587: 107 68 72 100 103 69 68 SP SD: 0.2219 c. M:-0.4294 c. 604: 110 70 74 103 106 71 70 SP SD: 0.2721 c. M: 0.3655 c. 663: 121 77 81 113 116 78 77 SP SD: 0.2509 c. M: 0.4410 c. 680: 124 79 83 116 119 80 79 SP SD: 0.2294 c. M: 0.4863 c. 744: 136 86 91 127 130 88 86 SP SD: 0.2291 c. M:-0.5358 c. 761: 139 88 93 130 133 90 88 SP SD: 0.1821 c. M:-0.3662 c. 822: 150 95 101 140 144 97 95 SP SD: 0.2234 c. M:-0.3233 c. 839: 153 97 103 143 147 99 97 SP SD: 0.2032 c. M: 0.4090 c. 898: 164 104 110 153 157 106 104 SP SD: 0.1964 c. M:-0.3364 c. 915: 167 106 112 156 160 108 106 SP SD: 0.1249 c. M:-0.1973 c. 932: 170 108 114 159 163 110 108 SP SD: 0.1199 c. M: 0.1949 c. 1348: 246 156 165 230 236 159 156 SP SD: 0.1026 c. M:-0.1720 c. 1814: 331 210 222 310 317 214 210 SP SD: 0.0948 c. M:-0.1756 c. 1831: 334 212 224 313 320 216 212 SP SD: 0.0971 c. M: 0.1439 c. 1968: 359 228 241 336 344 232 228 SP SD: 0.0775 c. M:-0.1191 c. 1985: 362 230 243 339 347 234 230 SP SD: 0.0659 c. M: 0.1173 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: 3.8410 cents 3 x x 4 x 5 x 6 S SD: 11.9281 cents 4 x 5 x 6:7 x 8 S SD: 14.3500 cents 5 x 6:7:8 x 9:10 S SD: 28.6708 cents 6:7 x 8:9:10:11:12 S SD: 10.2546 cents 7:8 x 9:11:12:13:14 SD: 17.1735 cents 8:9:10:11:12:14:15:16 S SD: 11.4480 cents 12:14:15:16:18:20:22:24 S SD: 9.6770 cents 13:15:16:17:20:22:24:26 SD: 8.8644 cents 14:16:17:19:21:24:26:28 SD: 5.6404 cents 21:24:26:28:32:36:39:42 S SD: 4.5596 cents 27:31:33:36:41:46:50:54 SD: 4.0306 cents 30:34:37:40:45:51:55:60 SD: 2.3599 cents 44:50:54:59:66:75:81:88 SD: 1.5744 cents 53:60:65:71:80:90:98:106 SD: 1.1711 cents 83:94:102:111:125:141:153:166 SD: 0.7127 cents 104:118:128:139:157:177:192:208 SD: 0.6654 cents 118:134:145:158:178:201:218:236 SD: 0.5911 cents 148:168:182:198:223:252:273:296 SD: 0.3502 cents 201:228:247:269:303:342:371:402 SD: 0.2540 cents 274:311:337:367:413:466:506:548 SD: 0.2441 cents 304:345:374:407:458:517:561:608 SD: 0.1404 cents 357:405:439:478:538:607:659:714 SD: 0.1389 cents 505:573:621:676:761:859:932:1010 SD: 0.0611 cents