Scala analysis: CD01_04_hijaz_Egypt
Ô mon astre, fais circuler la coupe de vin / Celui qui a les membres graciles - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 108.659 cents 108.658690 2: 391.769 cents 391.769305 3: 488.408 cents 488.408315 4: 706.100 cents 706.099796 5: 842.104 cents 842.104019 6: 1000.408 cents 1000.407542 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.5925 cents 199.5925 1: 108.6587 cents 108.6587 2: 283.1106 cents 283.1106 3: 96.6390 cents 96.6390 4: 217.6915 cents 217.6915 5: 136.0042 cents 136.0042 6: 158.3035 cents 158.3035 7: 199.5925 cents 199.5925
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 96.63901 cents 1: 1 108.65869 cents 1: 1 136.00422 cents 1: 1 158.30352 cents 1: 1 199.59246 cents 1: 1 217.69148 cents 1: 1 283.11061 cents 2: 1 294.30775 cents 2: 1 308.25115 cents 2: 1 314.33049 cents 2: 1 353.69570 cents 2: 1 357.89598 cents 2: 1 379.74963 cents 2: 1 391.76930 cents 3: 1 450.33471 cents 3: 1 466.55467 cents 3: 1 488.40831 cents 3: 1 493.90020 cents 3: 1 511.99923 cents 3: 1 591.36176 cents 3: 1 597.44111 cents 4: 1 602.55889 cents 4: 1 608.63824 cents 4: 1 688.00077 cents 4: 1 706.09980 cents 4: 1 711.59168 cents 4: 1 733.44533 cents 4: 1 749.66529 cents 5: 1 808.23069 cents 5: 1 820.25038 cents 5: 1 842.10402 cents 5: 1 846.30430 cents 5: 1 885.66951 cents 5: 1 891.74885 cents 5: 1 905.69225 cents 6: 1 916.88939 cents 6: 1 982.30852 cents 6: 1 1000.40754 cents 6: 1 1041.69648 cents 6: 1 1063.99578 cents 6: 1 1091.34131 cents 6: 1 1103.36099 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 : 108.7 391.8 488.4 706.1 842.1 1000.4 1200.0 108.7 : 283.1 379.7 597.4 733.4 891.7 1091.3 1200.0 391.8 : 96.6 314.3 450.3 608.6 808.2 916.9 1200.0 488.4 : 217.7 353.7 512.0 711.6 820.3 1103.4 1200.0 706.1 : 136.0 294.3 493.9 602.6 885.7 982.3 1200.0 842.1 : 158.3 357.9 466.6 749.7 846.3 1064.0 1200.0 1000.4: 199.6 308.3 591.4 688.0 905.7 1041.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 96.6390 .. 283.1106 cents 186.47160 cents 96.63901 cents 2: 294.3077 .. 391.7693 cents 97.46156 cents 11.19713 cents 3: 450.3347 .. 597.4411 cents 147.10639 cents 58.56541 cents 4: 602.5589 .. 749.6653 cents 147.10639 cents 5.11779 cents 5: 808.2307 .. 905.6923 cents 97.46156 cents 58.56541 cents 6: 916.8894 .. 1103.3610 cents 186.47160 cents 11.19713 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 96.63901 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 283.11061 cents Average / Smallest step : 1.773907 Largest / Average step : 1.651479 Largest / Smallest step : 2.929569 Median interval of one step : 158.30352 cents, amount: 1 Least squares average step : 169.96276 cents, oct.: 1189.73934 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BGAFCDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.11779 cents Scale diversity : 1.625318 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.281601 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 : 4.20028 cents Number of recognisable fifths : 3, average 701.8974 cents Number of appreciable fifths : 2, average 708.8457 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 174.4519 cents: 3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 34.7173 c. M:-62.7699 c. Lebeng 10: 1 2 1 2 1 1 2 P M ME S SD: 20.8362 c. M: 40.4075 c. 12: 1 3 1 2 1 2 2 P D3 SD: 17.2677 c. M: 42.1040 c. Phrygian Dominant, Phrygian Major, Mela Vakulabharanam, Raga Ahiri, Basant Mukhari, Jogiya, Vativasantabhairavi, Zilof, Ahava Rabba, Freygish: Jewish, Maqam Hijaz-Nahawand, Humayun, Spanish Gipsy, Dorico Flamenco: Spain, Hitzaz: Greece, Harmonic Major inverse, Mixolydian flat 2 flat 6 13: 1 3 1 3 1 2 2 N D3 S SD: 20.3449 c. M:-32.3617 c. 17: 2 4 1 3 2 2 3 N SD: 18.0138 c. M:-32.5178 c. 18: 2 4 1 4 2 2 3 P SD: 18.8772 c. M:-27.2335 c. 19: 2 4 2 3 2 3 3 SP D3 SD: 14.3175 c. M: 21.0514 c. 20: 2 5 1 4 2 3 3 P SD: 15.0133 c. M:-28.2307 c. 22: 2 5 2 4 2 3 4 P SD: 12.1435 c. M: 23.9222 c. 24: 2 6 2 4 3 3 4 P S SD: 7.3368 c. M:-11.5917 c. 34: 3 8 3 6 4 4 6 P S SD: 5.6765 c. M: 12.1722 c. 37: 3 9 3 7 4 5 6 N SD: 5.6147 c. M: 11.3614 c. 41: 4 9 4 7 5 5 7 SP S SD: 7.2483 c. M: 11.2815 c. 43: 4 10 4 7 5 6 7 SP SD: 6.7253 c. M:-13.9173 c. 44: 4 10 4 8 5 6 7 P SD: 5.3591 c. M: 9.9511 c. 46: 4 11 4 8 5 6 8 P SD: 5.4878 c. M: 9.1032 c. 47: 4 11 4 9 5 6 8 N SD: 5.7334 c. M:-8.7938 c. 54: 5 13 4 10 6 7 9 P SD: 3.8683 c. M:-8.2307 c. 56: 5 13 5 10 6 8 9 P SD: 4.5675 c. M:-6.7353 c. 61: 6 14 5 11 7 8 10 SP SD: 4.2972 c. M:-9.3741 c. 64: 6 15 5 12 7 8 11 P SD: 3.9188 c. M: 6.6575 c. 67: 6 16 5 12 8 9 11 SP SD: 3.6688 c. M: 7.5923 c. 68: 6 16 6 12 8 9 11 P SD: 3.9164 c. M:-5.7093 c. 71: 6 17 6 13 8 9 12 N SD: 3.7439 c. M: 7.2502 c. 73: 7 17 6 13 8 10 12 SP SD: 3.6094 c. M:-6.4098 c. 76: 7 18 6 14 8 10 13 P SD: 3.6424 c. M: 5.6707 c. 77: 7 18 6 14 9 10 13 SP SD: 3.0525 c. M: 5.2914 c. 88: 8 21 7 16 10 11 15 P SD: 3.0408 c. M: 4.9530 c. 90: 8 21 8 16 10 12 15 P SD: 2.9075 c. M: 5.1026 c. 98: 9 23 8 18 11 13 16 P SD: 2.4631 c. M:-4.1043 c. 101: 9 24 8 18 12 13 17 SP SD: 2.3501 c. M: 5.1097 c. 110: 10 26 9 20 12 15 18 P SD: 2.1098 c. M:-3.2288 c. 120: 11 28 10 22 13 16 20 P SD: 1.9737 c. M:-3.9002 c. 131: 12 31 10 24 15 17 22 SP SD: 1.6613 c. M: 2.9121 c. 144: 13 34 12 26 16 19 24 P SD: 1.5156 c. M:-3.2584 c. 145: 13 34 12 26 17 19 24 SP SD: 1.7378 c. M: 2.8038 c. 155: 14 37 12 28 18 20 26 SP SD: 1.6236 c. M:-3.0694 c. 157: 14 37 13 28 18 21 26 SP SD: 1.6124 c. M: 2.9151 c. 162: 15 38 13 29 19 21 27 SP SD: 1.6172 c. M:-2.4524 c. 165: 15 39 13 30 19 22 27 SP SD: 1.4921 c. M:-3.2288 c. 168: 15 40 13 31 19 22 28 P SD: 1.3395 c. M: 2.6940 c. 175: 16 41 14 32 20 23 29 SP SD: 0.9770 c. M: 1.5512 c. 187: 17 44 15 34 21 25 31 SP SD: 0.6987 c. M: 1.4623 c. 211: 19 50 17 38 24 28 35 SP SD: 0.5971 c. M: 0.8865 c. 221: 20 52 18 40 25 29 37 SP SD: 0.6266 c. M: 1.3125 c. 319: 29 75 26 58 36 42 53 SP SD: 0.5893 c. M:-1.1102 c. 379: 34 90 30 69 43 50 63 SP SD: 0.5865 c. M: 1.0070 c. 386: 35 91 31 70 44 51 64 SP SD: 0.3452 c. M:-0.6287 c. 432: 39 102 35 78 49 57 72 SP SD: 0.3781 c. M: 0.5442 c. 506: 46 119 41 92 57 67 84 SP SD: 0.3766 c. M:-0.6196 c. 530: 48 125 43 96 60 70 88 SP SD: 0.3097 c. M:-0.6483 c. 607: 55 143 49 110 69 80 101 SP SD: 0.1896 c. M: 0.3360 c. 794: 72 187 64 144 90 105 132 SP SD: 0.2344 c. M: 0.3335 c. 818: 74 193 66 148 93 108 136 SP SD: 0.1939 c. M: 0.4763 c. 848: 77 200 68 154 96 112 141 SP SD: 0.1680 c. M:-0.3036 c. 1047: 95 247 84 190 119 138 174 SP SD: 0.1865 c. M:-0.3029 c. 1059: 96 250 85 192 120 140 176 SP SD: 0.1624 c. M:-0.2987 c. 1069: 97 252 86 194 121 141 178 SP SD: 0.1462 c. M:-0.2281 c. 1093: 99 258 88 198 124 144 182 SP SD: 0.1371 c. M: 0.2246 c. 1106: 100 261 89 201 125 146 184 SP SD: 0.1399 c. M:-0.2293 c. 1137: 103 268 92 206 129 150 189 SP SD: 0.1394 c. M:-0.2460 c. 1268: 115 299 102 230 144 167 211 SP SD: 0.1104 c. M:-0.1741 c. 1378: 125 325 111 250 156 182 229 SP SD: 0.1278 c. M:-0.1947 c. 1455: 132 343 117 264 165 192 242 SP SD: 0.1105 c. M:-0.2073 c. 1479: 134 349 119 268 168 195 246 SP SD: 0.1024 c. M: 0.2174 c. 1526: 138 360 123 277 173 201 254 SP SD: 0.1095 c. M: 0.1572 c. 1599: 145 377 129 290 181 211 266 SP SD: 0.0949 c. M:-0.1593 c. 1713: 155 404 138 311 194 226 285 SP SD: 0.0974 c. M: 0.1756 c. 1737: 157 410 140 315 197 229 289 SP SD: 0.0850 c. M: 0.1958 c. 1798: 163 424 145 326 204 237 299 SP SD: 0.0954 c. M:-0.1652 c. 1912: 173 451 154 347 217 252 318 SP SD: 0.0972 c. M:-0.1554 c. 1924: 174 454 155 349 218 254 320 SP SD: 0.0800 c. M: 0.1348 c. 1978: 179 467 159 359 224 261 329 SP SD: 0.0675 c. M:-0.1417 c. 2123: 192 501 171 385 241 280 353 SP SD: 0.0854 c. M: 0.1330 c. 2153: 195 508 173 391 244 284 358 SP SD: 0.0787 c. M: 0.1594 c. 2199: 199 519 177 399 249 290 366 SP SD: 0.0687 c. M: 0.1347 c. 2310: 209 545 186 419 262 305 384 SP SD: 0.0866 c. M: 0.1258 c. 2364: 214 558 190 429 268 312 393 SP SD: 0.0660 c. M:-0.1089 c. 2374: 215 560 191 431 269 313 395 SP SD: 0.0572 c. M: 0.1185 c. 2398: 217 566 193 435 272 316 399 SP SD: 0.0574 c. M:-0.0978 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: 2.0724 cents 3 x x 4 x 5 x 6 S SD: 14.4465 cents 4 x 5 x 6 x 7:8 S SD: 8.0791 cents 5 x 6:7 x 8:9:10 S SD: 25.1030 cents 6 x x 8:9:10:11:12 S SD: 13.1029 cents 7:8:9 x x 11:12:14 SD: 31.6014 cents 8:9:10:11:12:13:14:16 S SD: 16.9497 cents 9:10:11:12:14:15:16:18 S SD: 16.1388 cents 10:11 x 13:15:16:18:20 SD: 12.3201 cents 12:13:15:16:18:20:21:24 SD: 8.8266 cents 15:16:19:20:23:24:27:30 SD: 7.3683 cents 16:17:20:21:24:26:29:32 SD: 4.9995 cents 24:26:30:32:36:39:43:48 SD: 4.7830 cents 27:29:34:36:41:44:48:54 SD: 3.7668 cents 28:30:35:37:42:46:50:56 SD: 3.2271 cents 32:34:40:42:48:52:57:64 SD: 2.7655 cents 40:43:50:53:60:65:71:80 SD: 2.7627 cents 43:46:54:57:65:70:77:86 SD: 2.1541 cents 46:49:58:61:69:75:82:92 SD: 1.6064 cents 59:63:74:78:89:96:105:118 SD: 1.3424 cents 64:68:80:85:96:104:114:128 SD: 1.2139 cents 83:88:104:110:125:135:148:166 SD: 1.1564 cents 91:97:114:121:137:148:162:182 SD: 0.8875 cents 107:114:134:142:161:174:191:214 SD: 0.5988 cents 123:131:154:163:185:200:219:246 SD: 0.4831 cents 153:163:192:203:230:249:273:306 SD: 0.4350 cents 169:180:212:224:254:275:301:338 SD: 0.2687 cents 276:294:346:366:415:449:492:552 SD: 0.1447 cents 417:444:523:553:627:678:743:834 SD: 0.1248 cents 528:562:662:700:794:859:941:1056 SD: 0.1218 cents 586:624:735:777:881:953:1044:1172 SD: 0.1191 cents