Scala analysis: CD17_04_Tunisia
Ô parfait comme la pleine lune - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.181 cents 193.181075 2: 291.887 cents 291.887148 3: 502.916 cents 502.915836 4: 663.792 cents 663.792215 5: 794.064 cents 794.064368 6: 994.905 cents 994.904933 7: 1114.134 cents 1114.134156 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 85.8658 cents 85.8658 1: 193.1811 cents 193.1811 2: 98.7061 cents 98.7061 3: 211.0287 cents 211.0287 4: 160.8764 cents 160.8764 5: 130.2722 cents 130.2722 6: 200.8406 cents 200.8406 7: 119.2292 cents 119.2292 8: 85.8658 cents 85.8658
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.86584 cents 1: 1 98.70607 cents 1: 1 119.22922 cents 1: 1 130.27215 cents 1: 1 160.87638 cents 1: 1 193.18107 cents 1: 1 200.84056 cents 1: 1 211.02869 cents 2: 1 205.09507 cents 2: 1 279.04692 cents 2: 1 291.14853 cents 2: 1 291.88715 cents 2: 1 309.73476 cents 2: 1 320.06979 cents 2: 1 331.11272 cents 2: 1 371.90507 cents 3: 1 377.75299 cents 3: 1 398.27614 cents 3: 1 405.93563 cents 3: 1 450.34194 cents 3: 1 470.61114 cents 3: 1 491.98910 cents 3: 1 502.17722 cents 3: 1 502.91584 cents 4: 1 496.98222 cents 4: 1 536.20779 cents 4: 1 588.78168 cents 4: 1 599.11671 cents 4: 1 600.88329 cents 4: 1 611.21832 cents 4: 1 663.79221 cents 4: 1 703.01778 cents 5: 1 697.08416 cents 5: 1 697.82278 cents 5: 1 708.01090 cents 5: 1 729.38886 cents 5: 1 749.65806 cents 5: 1 794.06437 cents 5: 1 801.72386 cents 5: 1 822.24701 cents 6: 1 828.09493 cents 6: 1 868.88728 cents 6: 1 879.93021 cents 6: 1 890.26524 cents 6: 1 908.11285 cents 6: 1 908.85147 cents 6: 1 920.95308 cents 6: 1 994.90493 cents 7: 1 988.97131 cents 7: 1 999.15943 cents 7: 1 1006.81893 cents 7: 1 1039.12362 cents 7: 1 1069.72785 cents 7: 1 1080.77078 cents 7: 1 1101.29393 cents 7: 1 1114.13416 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 193.2 291.9 502.9 663.8 794.1 994.9 1114.1 1200.0 193.2 : 98.7 309.7 470.6 600.9 801.7 921.0 1006.8 1200.0 291.9 : 211.0 371.9 502.2 703.0 822.2 908.1 1101.3 1200.0 502.9 : 160.9 291.1 492.0 611.2 697.1 890.3 989.0 1200.0 663.8 : 130.3 331.1 450.3 536.2 729.4 828.1 1039.1 1200.0 794.1 : 200.8 320.1 405.9 599.1 697.8 908.9 1069.7 1200.0 994.9 : 119.2 205.1 398.3 497.0 708.0 868.9 999.2 1200.0 1114.1: 85.9 279.0 377.8 588.8 749.7 879.9 1080.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.8658 .. 211.0287 cents 125.16284 cents 85.86584 cents 2: 205.0951 .. 371.9051 cents 166.81000 cents -5.93362 cents 3: 377.7530 .. 502.9158 cents 125.16284 cents 5.84793 cents 4: 496.9822 .. 703.0178 cents 206.03557 cents -5.93362 cents 5: 697.0842 .. 822.2470 cents 125.16284 cents -5.93362 cents 6: 828.0949 .. 994.9049 cents 166.81000 cents 5.84793 cents 7: 988.9713 .. 1114.1342 cents 125.16284 cents -5.93362 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 85.86584 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 211.02869 cents Average / Smallest step : 1.746911 Largest / Average step : 1.406858 Largest / Smallest step : 2.457656 Median interval of one step : 145.57427 cents, amount: 0 Least squares average step : 158.23315 cents, oct.: 1265.86519 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FBHEDGCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.25450 cents Scale diversity : 1.624832 Lumma stability : 0.152856 Lumma impropriety factor : 0.019779 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.73862 cents Number of recognisable fifths : 4, average 701.4839 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 54.6143 c. M: 94.9049 c. 9: 1 1 2 1 1 1 1 1 P M ME SD: 37.4679 c. M: 61.5716 c. 11: 2 1 2 1 1 2 1 1 P M ME SD: 26.0018 c. M:-42.5387 c. 12: 2 1 2 2 1 2 1 1 P D3 S SD: 14.5464 c. M:-36.2078 c. Maqam Nahawand, Farahfaza, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor 14: 2 1 3 2 1 3 1 1 N SD: 22.1811 c. M: 34.7443 c. 16: 3 1 3 2 2 2 2 1 P T3 SD: 19.8836 c. M:-31.8189 c. 17: 3 1 3 2 2 3 2 1 P SD: 15.4646 c. M: 28.4981 c. 24: 4 2 4 3 3 4 2 2 P SD: 8.4558 c. M: 14.1342 c. 29: 5 2 5 4 3 5 3 2 P SD: 6.2371 c. M:-13.7155 c. 33: 5 3 6 4 4 5 4 2 P SD: 8.8940 c. M:-13.1386 c. 36: 6 3 6 5 4 6 3 3 P SD: 6.9825 c. M: 14.1342 c. 38: 6 3 7 5 4 6 4 3 P SD: 7.3570 c. M: 15.9576 c. 41: 7 3 7 6 4 7 4 3 P SD: 5.8362 c. M:-11.6970 c. 42: 7 3 8 5 5 7 4 3 N SD: 6.3177 c. M:-11.3699 c. 45: 7 4 8 6 5 7 5 3 P SD: 5.0543 c. M: 8.2383 c. 53: 8 5 9 7 6 9 5 4 P SD: 5.6166 c. M: 12.0490 c. 54: 9 4 10 7 6 9 5 4 N SD: 5.0155 c. M:-8.1953 c. 57: 9 5 10 8 6 9 6 4 P SD: 4.9079 c. M:-9.8920 c. 58: 9 5 10 8 6 10 6 4 P SD: 4.6332 c. M: 7.8575 c. 65: 10 6 11 9 7 11 6 5 P SD: 4.3552 c. M: 8.5657 c. 69: 11 6 12 9 8 11 7 5 P SD: 3.1160 c. M:-5.9356 c. 70: 11 6 12 10 7 12 7 5 P SD: 3.6777 c. M: 5.7730 c. 74: 12 6 13 10 8 12 8 5 P SD: 2.7166 c. M: 5.7157 c. 82: 13 7 14 11 9 14 8 6 P SD: 3.2396 c. M: 5.3549 c. 83: 13 7 15 11 9 14 8 6 N SD: 2.6293 c. M: 5.2293 c. 89: 14 8 15 12 10 15 9 6 P SD: 3.5863 c. M:-4.9670 c. 94: 15 8 16 13 10 16 9 7 P SD: 2.5211 c. M: 5.0435 c. 98: 16 8 17 13 11 16 10 7 P SD: 1.9902 c. M: 3.0682 c. 110: 18 9 19 15 12 18 11 8 P SD: 2.0363 c. M:-3.1826 c. 112: 18 9 20 15 12 19 11 8 N SD: 1.1910 c. M: 2.6014 c. 136: 22 11 24 18 15 23 13 10 N SD: 1.4031 c. M: 2.3695 c. 157: 25 13 28 21 17 26 16 11 N SD: 1.4042 c. M: 2.0983 c. 168: 27 14 29 23 18 28 17 12 P SD: 1.3904 c. M: 2.9158 c. 181: 29 15 32 24 20 30 18 13 N SD: 0.7917 c. M:-1.5157 c. 210: 34 17 37 28 23 35 21 15 N SD: 0.5878 c. M:-1.1046 c. 293: 47 24 52 39 32 49 29 21 N SD: 0.5954 c. M: 1.1022 c. 322: 52 26 57 43 35 54 32 23 N SD: 0.5198 c. M: 1.2039 c. 334: 54 27 59 45 36 56 33 24 N SD: 0.5534 c. M:-0.8784 c. 387: 62 32 68 52 42 65 38 28 N SD: 0.5726 c. M: 0.9559 c. 391: 63 32 69 52 43 65 39 28 N SD: 0.5040 c. M: 0.8766 c. 403: 65 33 71 54 44 67 40 29 N SD: 0.4478 c. M:-0.9729 c. 423: 68 35 74 57 46 71 42 30 N SD: 0.5178 c. M:-0.8397 c. 432: 70 35 76 58 47 72 43 31 N SD: 0.5111 c. M:-1.2634 c. 449: 72 37 79 60 49 75 45 32 N SD: 0.5892 c. M: 0.9860 c. 461: 74 38 81 62 50 77 46 33 N SD: 0.3585 c. M: 0.5563 c. 597: 96 49 105 80 65 100 59 43 N SD: 0.3455 c. M: 0.5663 c. 633: 102 52 111 85 69 106 63 45 N SD: 0.3384 c. M:-0.5578 c. 654: 105 54 115 88 71 109 65 47 N SD: 0.3525 c. M: 0.5205 c. 671: 108 55 118 90 73 112 67 48 N SD: 0.2980 c. M: 0.5681 c. 683: 110 56 120 92 74 114 68 49 N SD: 0.2813 c. M: 0.4686 c. 727: 117 60 128 97 79 122 72 52 N SD: 0.2739 c. M:-0.5230 c. 801: 129 66 141 107 87 134 80 57 N SD: 0.2593 c. M:-0.4726 c. 813: 131 67 143 109 88 136 81 58 N SD: 0.2673 c. M:-0.4144 c. 826: 133 68 145 111 90 138 82 59 N SD: 0.2633 c. M:-0.6088 c. 864: 139 71 152 116 94 144 86 62 N SD: 0.2523 c. M: 0.4605 c. 895: 144 74 157 120 97 150 89 64 N SD: 0.1965 c. M:-0.4034 c. 926: 149 76 163 124 101 155 92 66 N SD: 0.2589 c. M:-0.3434 c. 937: 151 77 165 125 102 157 93 67 N SD: 0.2251 c. M: 0.3984 c. 949: 153 78 167 127 103 159 94 68 N SD: 0.2030 c. M:-0.3508 c. 1007: 162 83 177 135 109 169 100 72 N SD: 0.1668 c. M: 0.4199 c. 1076: 173 89 189 144 117 180 107 77 N SD: 0.1654 c. M:-0.3062 c. 1105: 178 91 194 148 120 185 110 79 N SD: 0.1697 c. M: 0.2628 c. 1117: 180 92 196 150 121 187 111 80 N SD: 0.1650 c. M:-0.3241 c. 1188: 191 98 209 159 129 199 118 85 N SD: 0.1222 c. M: 0.2518 c. 1200: 193 99 211 161 130 201 119 86 N SD: 0.1260 c. M:-0.2078 c. 1229: 198 101 216 165 133 206 122 88 N SD: 0.1241 c. M: 0.2483 c. 1298: 209 107 228 174 141 217 129 93 N SD: 0.1153 c. M:-0.2546 c. 1398: 225 115 246 187 152 234 139 100 N SD: 0.1093 c. M: 0.2729 c. 1410: 227 116 248 189 153 236 140 101 N SD: 0.0436 c. M: 0.0916 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 19.0814 cents 3 x x 4 x 5 x x 6 S SD: 30.1419 cents 4 x 5 x 6 x 7 x 8 S SD: 26.2832 cents 5 x 6:7 x 8:9 x 10 S SD: 17.6632 cents 6 x 7:8:9:10:11 x 12 S SD: 19.1664 cents 7:8 x 9:10:11:12:13:14 S SD: 16.8665 cents 8:9 x 11:12:13:14:15:16 SD: 12.3075 cents 9:10:11:12:13:14:16:17:18 S SD: 8.8240 cents 13 x 15:17:19:21:23:25:26 SD: 10.2621 cents 14:16:17:19:21:22:25:27:28 SD: 9.8893 cents 15:17:18:20:22:24:27:29:30 SD: 6.5900 cents 17:19:20:23:25:27:30:32:34 SD: 4.1235 cents 26:29:31:35:38:41:46:49:52 SD: 3.3788 cents 27:30:32:36:40:43:48:51:54 SD: 3.3759 cents 32:36:38:43:47:51:57:61:64 SD: 2.5529 cents 41:46:49:55:60:65:73:78:82 SD: 2.4914 cents 43:48:51:57:63:68:76:82:86 SD: 2.3110 cents 45:50:53:60:66:71:80:86:90 SD: 2.1222 cents 50:56:59:67:73:79:89:95:100 SD: 1.5348 cents 60:67:71:80:88:95:107:114:120 SD: 1.1409 cents 77:86:91:103:113:122:137:147:154 SD: 0.9128 cents 86:96:102:115:126:136:153:164:172 SD: 0.8335 cents 103:115:122:138:151:163:183:196:206 SD: 0.5895 cents 143:160:169:191:210:226:254:272:286 SD: 0.5360 cents 163:182:193:218:239:258:290:310:326 SD: 0.5015 cents 169:189:200:226:248:267:300:322:338 SD: 0.4178 cents 184:206:218:246:270:291:327:350:368 SD: 0.3914 cents 196:219:232:262:288:310:348:373:392 SD: 0.3684 cents 229:256:271:306:336:362:407:436:458 SD: 0.2491 cents 246:275:291:329:361:389:437:468:492 SD: 0.1954 cents 321:359:380:429:471:508:570:611:642 SD: 0.1833 cents 332:371:393:444:487:525:590:632:664 SD: 0.1810 cents 424:474:502:567:622:671:753:807:848 SD: 0.1374 cents 507:567:600:678:744:802:901:965:1014 SD: 0.1066 cents 567:634:671:758:832:897:1007:1079:1134 SD: 0.0941 cents