Scala analysis: CD06_06_Egypt
C'est ton jour, c'est ton heure - Muhammad al-Bahr (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 191.036 cents 191.036000 2: 378.260 cents 378.259690 3: 490.420 cents 490.420159 4: 696.033 cents 696.032776 5: 900.879 cents 900.879298 6: 985.725 cents 985.725211 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 214.2748 cents 214.2748 1: 191.0360 cents 191.0360 2: 187.2237 cents 187.2237 3: 112.1605 cents 112.1605 4: 205.6126 cents 205.6126 5: 204.8465 cents 204.8465 6: 84.8459 cents 84.8459 7: 214.2748 cents 214.2748
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 84.84591 cents 1: 1 112.16047 cents 1: 1 187.22369 cents 1: 1 191.03600 cents 1: 1 204.84652 cents 1: 1 205.61262 cents 1: 1 214.27479 cents 2: 1 289.69244 cents 2: 1 299.12070 cents 2: 1 299.38416 cents 2: 1 317.77309 cents 2: 1 378.25969 cents 2: 1 405.31079 cents 2: 1 410.45914 cents 3: 1 490.15670 cents 3: 1 490.42016 cents 3: 1 495.30505 cents 3: 1 503.96722 cents 3: 1 504.99678 cents 3: 1 522.61961 cents 3: 1 592.53448 cents 4: 1 607.46552 cents 4: 1 677.38039 cents 4: 1 695.00322 cents 4: 1 696.03278 cents 4: 1 704.69495 cents 4: 1 709.57984 cents 4: 1 709.84330 cents 5: 1 789.54086 cents 5: 1 794.68921 cents 5: 1 821.74031 cents 5: 1 882.22691 cents 5: 1 900.61584 cents 5: 1 900.87930 cents 5: 1 910.30757 cents 6: 1 985.72521 cents 6: 1 994.38738 cents 6: 1 995.15348 cents 6: 1 1008.96400 cents 6: 1 1012.77631 cents 6: 1 1087.83953 cents 6: 1 1115.15409 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 : 191.0 378.3 490.4 696.0 900.9 985.7 1200.0 191.0 : 187.2 299.4 505.0 709.8 794.7 1009.0 1200.0 378.3 : 112.2 317.8 522.6 607.5 821.7 1012.8 1200.0 490.4 : 205.6 410.5 495.3 709.6 900.6 1087.8 1200.0 696.0 : 204.8 289.7 504.0 695.0 882.2 994.4 1200.0 900.9 : 84.8 299.1 490.2 677.4 789.5 995.2 1200.0 985.7 : 214.3 405.3 592.5 704.7 910.3 1115.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 84.8459 .. 214.2748 cents 129.42888 cents 84.84591 cents 2: 289.6924 .. 410.4591 cents 120.76670 cents 75.41765 cents 3: 490.1567 .. 592.5345 cents 102.37778 cents 79.69756 cents 4: 607.4655 .. 709.8433 cents 102.37778 cents 14.93104 cents 5: 789.5409 .. 910.3076 cents 120.76670 cents 79.69756 cents 6: 985.7252 .. 1115.1541 cents 129.42888 cents 75.41765 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 84.84591 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.27479 cents Average / Smallest step : 2.020469 Largest / Average step : 1.249936 Largest / Smallest step : 2.525458 Median interval of one step : 191.03600 cents, amount: 1 Least squares average step : 171.58353 cents, oct.: 1201.08474 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DCBFEAG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 14.93104 cents Scale diversity : 1.537309 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.412378 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 : 0.26346 cents Number of recognisable fifths : 5, average 703.0308 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 129.4289 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.4291 c. M: 43.7364 c. Lebeng 12: 2 2 1 2 2 1 2 P M ME S SD: 11.1166 c. M:-21.7403 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 28: 4 5 2 5 5 2 5 P T3 S SD: 11.3889 c. M: 19.6074 c. 29: 5 4 3 5 5 2 5 SP SD: 8.6384 c. M:-15.8606 c. 36: 6 5 4 6 6 3 6 SP SD: 8.6751 c. M:-14.2748 c. 39: 6 6 4 7 6 3 7 SP SD: 6.9381 c. M:-11.6595 c. 41: 7 6 4 7 7 3 7 SP SD: 7.7307 c. M:-13.8420 c. 44: 7 7 4 8 7 3 8 P SD: 5.3381 c. M:-13.0581 c. 45: 7 7 4 8 8 3 8 SP SD: 5.2591 c. M: 10.4202 c. 51: 8 8 5 9 8 4 9 SP SD: 4.9821 c. M:-9.8496 c. 52: 8 8 5 9 9 4 9 SP SD: 5.5346 c. M: 9.0289 c. 56: 9 9 5 9 10 4 10 P SD: 4.9580 c. M: 10.3185 c. 57: 9 9 5 10 10 4 10 SP SD: 3.3042 c. M: 6.2096 c. 69: 11 11 6 12 12 5 12 SP SD: 3.2576 c. M:-5.5791 c. 76: 12 12 7 13 13 5 14 P SD: 2.7308 c. M: 6.7778 c. 83: 13 13 8 14 14 6 15 SP SD: 2.6056 c. M: 4.4938 c. 88: 14 14 8 15 15 6 16 P SD: 2.0456 c. M: 3.9070 c. 95: 15 15 9 16 16 7 17 SP SD: 1.9271 c. M: 4.0372 c. 105: 17 16 10 18 18 7 19 SP SD: 1.9345 c. M:-3.2497 c. 112: 18 17 11 19 19 8 20 SP SD: 1.7242 c. M: 3.2597 c. 117: 19 18 11 20 20 8 21 SP SD: 1.9206 c. M:-3.8358 c. 124: 20 19 12 21 21 9 22 SP SD: 1.6907 c. M:-3.1282 c. 140: 22 22 13 24 24 10 25 SP SD: 1.4425 c. M: 2.4646 c. 145: 23 23 13 25 25 10 26 SP SD: 1.4113 c. M:-2.4300 c. 152: 24 24 14 26 26 11 27 SP SD: 1.0358 c. M: 1.5623 c. 169: 27 26 16 29 29 12 30 SP SD: 0.9873 c. M: 1.9283 c. 181: 29 28 17 31 31 13 32 SP SD: 0.9846 c. M:-2.1201 c. 228: 36 36 21 39 39 16 41 SP SD: 1.1056 c. M: 1.5623 c. 240: 38 38 22 41 41 17 43 SP SD: 0.9743 c. M:-1.7403 c. 245: 39 38 23 42 42 17 44 SP SD: 0.7127 c. M: 1.2354 c. 257: 41 40 24 44 44 18 46 SP SD: 0.2999 c. M: 0.5112 c. 521: 83 81 49 89 89 37 93 SP SD: 0.2979 c. M: 0.5246 c. 533: 85 83 50 91 91 38 95 SP SD: 0.3013 c. M:-0.3911 c. 622: 99 97 58 107 106 44 111 SP SD: 0.2318 c. M:-0.4302 c. 666: 106 104 62 114 114 47 119 SP SD: 0.2489 c. M: 0.5373 c. 705: 112 110 66 121 120 50 126 SP SD: 0.2960 c. M: 0.4538 c. 710: 113 111 66 122 121 50 127 SP SD: 0.2462 c. M: 0.3731 c. 717: 114 112 67 123 122 51 128 SP SD: 0.2124 c. M: 0.4609 c. 790: 126 123 74 135 135 56 141 SP SD: 0.2106 c. M:-0.3564 c. 822: 131 128 77 141 140 58 147 SP SD: 0.2081 c. M: 0.3238 c. 834: 133 130 78 143 142 59 149 SP SD: 0.2272 c. M:-0.3701 c. 879: 140 137 82 151 150 62 157 SP SD: 0.1645 c. M: 0.3178 c. 891: 142 139 83 153 152 63 159 SP SD: 0.1769 c. M:-0.2635 c. 962: 153 150 90 165 164 68 172 SP SD: 0.2076 c. M: 0.2971 c. 974: 155 152 91 167 166 69 174 SP SD: 0.1160 c. M: 0.2633 c. 1148: 183 179 107 197 196 81 205 SP SD: 0.1511 c. M:-0.2532 c. 1155: 184 180 108 198 197 82 206 SP SD: 0.1205 c. M:-0.2488 c. 1231: 196 192 115 211 210 87 220 SP SD: 0.0969 c. M: 0.1850 c. 1243: 198 194 116 213 212 88 222 SP SD: 0.1015 c. M:-0.1796 c. 1412: 225 220 132 242 241 100 252 SP SD: 0.0880 c. M:-0.1821 c. 1500: 239 234 140 257 256 106 268 SP SD: 0.1000 c. M:-0.1640 c. 1669: 266 260 156 286 285 118 298 SP SD: 0.0917 c. M:-0.2162 c. 1798: 286 281 168 308 307 127 321 SP SD: 0.1120 c. M:-0.1608 c. 1821: 290 284 170 312 311 129 325 SP SD: 0.0939 c. M: 0.1514 c. 1865: 297 291 174 320 318 132 333 SP SD: 0.0904 c. M:-0.1603 c. 2043: 325 319 191 350 349 144 365 SP SD: 0.0898 c. M:-0.1486 c. 2055: 327 321 192 352 351 145 367 SP SD: 0.0894 c. M:-0.1426 c. 2122: 338 331 198 364 362 150 379 SP SD: 0.0805 c. M: 0.1280 c. 2224: 354 347 208 381 380 157 397 SP SD: 0.0828 c. M:-0.1998 c. 2307: 367 360 216 395 394 163 412 SP SD: 0.0793 c. M: 0.1387 c. 2319: 369 362 217 397 396 164 414 SP SD: 0.0671 c. M:-0.1361 c. 2386: 380 372 223 409 407 169 426 SP SD: 0.0651 c. M: 0.1249 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: 2.9611 cents 3 x x 4 x 5 x 6 S SD: 6.0651 cents 4 x 5 x 6 x 7:8 S SD: 4.9087 cents 5 x 6:7 x 8:9:10 S SD: 28.9968 cents 6:7 x 8:9:10:11:12 S SD: 16.8051 cents 7:8 x 9:10:12 x 14 S SD: 21.8014 cents 8:9:10:11:12:13:14:16 S SD: 12.6991 cents 9:10:11:12:13:15:16:18 SD: 10.0965 cents 11:12:14:15:16 x 19:22 SD: 15.9359 cents 12:13:15:16:18:20:21:24 SD: 8.4140 cents 16:18:20:21:24:27:28:32 S SD: 4.4305 cents 24:27:30:32:36:40:42:48 S SD: 4.2434 cents 25:28:31:33:37:42:44:50 SD: 3.2363 cents 34:38:42:45:51:57:60:68 SD: 2.3251 cents 50:56:62:66:75:84:88:100 SD: 2.2516 cents 52:58:65:69:78:87:92:104 SD: 2.0504 cents 53:59:66:70:79:89:94:106 SD: 1.9428 cents 60:67:75:80:90:101:106:120 SD: 1.8003 cents 61:68:76:81:91:103:108:122 SD: 1.2323 cents 77:86:96:102:115:130:136:154 SD: 1.1365 cents 85:95:106:113:127:143:150:170 SD: 0.7977 cents 95:106:118:126:142:160:168:190 SD: 0.5846 cents 119:133:148:158:178:200:210:238 SD: 0.5345 cents 155:173:193:206:232:261:274:310 SD: 0.5216 cents 164:183:204:218:245:276:290:328 SD: 0.4472 cents 180:201:224:239:269:303:318:360 SD: 0.1606 cents 394:440:490:523:589:663:696:788 SD: 0.1455 cents 507:566:631:673:758:853:896:1014 SD: 0.1098 cents