Scala analysis: CD01_03_hijaz_Egypt
Ô Gazelle qui a fait honte aux faons / Emplis ma coupe, ô mon précieux amour - 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: 113.279 cents 113.279233 2: 498.055 cents 498.055060 3: 717.002 cents 717.002372 4: 851.770 cents 851.769743 5: 1001.880 cents 1001.879972 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 198.1200 cents 198.1200 1: 113.2792 cents 113.2792 2: 384.7758 cents 384.7758 3: 218.9473 cents 218.9473 4: 134.7674 cents 134.7674 5: 150.1102 cents 150.1102 6: 198.1200 cents 198.1200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.27923 cents 1: 1 134.76737 cents 1: 1 150.11023 cents 1: 1 198.12003 cents 1: 1 218.94731 cents 1: 1 384.77583 cents 2: 1 284.87760 cents 2: 1 311.39926 cents 2: 1 348.23026 cents 2: 1 353.71468 cents 2: 1 498.05506 cents 2: 1 603.72314 cents 3: 1 461.50949 cents 3: 1 482.99763 cents 3: 1 503.82491 cents 3: 1 696.17509 cents 3: 1 717.00237 cents 3: 1 738.49051 cents 4: 1 596.27686 cents 4: 1 701.94494 cents 4: 1 846.28532 cents 4: 1 851.76974 cents 4: 1 888.60074 cents 4: 1 915.12240 cents 5: 1 815.22417 cents 5: 1 981.05269 cents 5: 1 1001.87997 cents 5: 1 1049.88977 cents 5: 1 1065.23263 cents 5: 1 1086.72077 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 113.3 498.1 717.0 851.8 1001.9 1200.0 113.3 : 384.8 603.7 738.5 888.6 1086.7 1200.0 498.1 : 218.9 353.7 503.8 701.9 815.2 1200.0 717.0 : 134.8 284.9 483.0 596.3 981.1 1200.0 851.8 : 150.1 348.2 461.5 846.3 1065.2 1200.0 1001.9: 198.1 311.4 696.2 915.1 1049.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.2792 .. 384.7758 cents 271.49659 cents 113.27923 cents 2: 284.8776 .. 603.7231 cents 318.84554 cents -99.89823 cents 3: 461.5095 .. 738.4905 cents 276.98102 cents -142.21365 cents 4: 596.2769 .. 915.1224 cents 318.84554 cents -142.21365 cents 5: 815.2242 .. 1086.7208 cents 271.49659 cents -99.89823 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 113.27923 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 384.77583 cents Average / Smallest step : 1.765549 Largest / Average step : 1.923879 Largest / Smallest step : 3.396702 Median interval of one step : 174.11513 cents, amount: 0 Least squares average step : 207.43819 cents, oct.: 1244.62914 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : AFEBCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.76985 cents Scale diversity : 1.629363 Lumma stability : 0.188799 Lumma impropriety factor : 0.397315 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 5.48443 cents Number of recognisable fifths : 3, average 705.0408 cents Number of appreciable fifths : 2, average 699.0600 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 2 1 1 1 1 N T3 SD: 80.4365 c. M: 117.0024 c. 7: 1 2 1 1 1 1 P M ME SD: 29.9027 c. M:-58.1493 c. 8: 1 2 2 1 1 1 N D3 S SD: 39.5564 c. M:-48.2303 c. 10: 1 3 2 1 1 2 N SD: 19.4619 c. M: 41.8800 c. 13: 1 4 3 1 2 2 N SD: 21.8219 c. M: 36.5166 c. 14: 1 5 2 2 2 2 N SD: 21.3834 c. M: 31.2881 c. 17: 2 5 3 2 2 3 N SD: 13.6978 c. M:-27.8972 c. 20: 2 6 4 2 3 3 N SD: 11.8814 c. M:-18.1200 c. 24: 2 8 4 3 3 4 N SD: 8.9057 c. M: 17.0024 c. 31: 3 10 6 3 4 5 N SD: 8.1379 c. M:-18.4815 c. 32: 3 10 6 4 4 5 N SD: 7.7482 c. M:-10.7303 c. 34: 3 11 6 4 4 6 N SD: 8.1878 c. M: 13.6447 c. 38: 4 12 7 4 5 6 N SD: 8.0016 c. M:-13.0366 c. 41: 4 13 7 5 5 7 N SD: 6.8476 c. M: 14.5633 c. 42: 4 13 8 5 5 7 N SD: 5.6729 c. M: 12.3408 c. 44: 4 14 8 5 6 7 N SD: 6.0975 c. M: 7.9115 c. 48: 5 15 9 5 6 8 N SD: 5.9412 c. M:-11.7208 c. 50: 5 16 9 6 6 8 N SD: 6.7888 c. M:-12.2303 c. 52: 5 17 9 6 6 9 N SD: 5.7135 c. M:-9.6372 c. 53: 5 17 10 6 6 9 N SD: 5.2074 c. M:-8.6076 c. 54: 5 17 10 6 7 9 N SD: 5.4867 c. M: 9.1662 c. 55: 5 18 10 6 7 9 N SD: 2.7238 c. M: 4.1883 c. 62: 6 20 11 7 8 10 N SD: 3.0699 c. M:-5.1707 c. 65: 6 21 12 7 8 11 N SD: 2.7829 c. M: 4.9569 c. 72: 7 23 13 8 9 12 N SD: 1.9164 c. M:-3.3874 c. 97: 9 31 18 11 12 16 N SD: 1.7199 c. M: 3.2097 c. 104: 10 33 19 12 13 17 N SD: 1.7721 c. M:-2.1054 c. 127: 12 41 23 14 16 21 N SD: 1.3349 c. M:-2.7323 c. 156: 15 50 28 18 19 26 N SD: 1.7644 c. M:-2.1054 c. 157: 15 50 29 17 20 26 N SD: 1.6953 c. M: 3.3621 c. 159: 15 51 29 18 20 26 N SD: 0.8869 c. M:-1.8936 c. 169: 16 54 31 19 21 28 N SD: 0.5381 c. M: 1.0136 c. 224: 21 72 41 25 28 37 N SD: 0.4782 c. M:-0.8548 c. 296: 28 95 54 33 37 49 N SD: 0.4437 c. M:-0.5936 c. 328: 31 105 60 37 41 54 N SD: 0.4139 c. M:-0.6693 c. 393: 37 126 72 44 49 65 N SD: 0.3322 c. M:-0.5549 c. 400: 38 128 73 45 50 66 N SD: 0.3136 c. M:-0.7208 c. 455: 43 146 83 51 57 75 N SD: 0.2652 c. M:-0.4065 c. 552: 52 177 101 62 69 91 N SD: 0.2913 c. M:-0.4042 c. 624: 59 200 114 70 78 103 N SD: 0.1593 c. M:-0.3053 c. 793: 75 254 145 89 99 131 N SD: 0.1860 c. M:-0.2738 c. 817: 77 262 149 92 102 135 N SD: 0.1583 c. M: 0.2337 c. 944: 89 303 172 106 118 156 N SD: 0.1448 c. M:-0.2500 c. 1048: 99 336 191 118 131 173 N SD: 0.1089 c. M: 0.2085 c. 1217: 115 390 222 137 152 201 N SD: 0.1163 c. M:-0.1612 c. 1272: 120 408 232 143 159 210 N SD: 0.0615 c. M:-0.1170 c. 1896: 179 608 346 213 237 313 N SD: 0.0667 c. M:-0.1290 c. 2012: 190 645 367 226 252 332 N SD: 0.0734 c. M:-0.1081 c. 2077: 196 666 379 233 260 343 N SD: 0.0702 c. M: 0.1568 c. 2236: 211 717 408 251 280 369 N SD: 0.0499 c. M:-0.0878 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 7.5237 cents 3 x 4 x 5 x 6 S SD: 10.8630 cents 4 x 5:6 x 7:8 S SD: 29.3738 cents 5 x 7 x 8:9:10 SD: 23.4925 cents 7:8:9:11 x 12:14 SD: 32.7903 cents 8:9:11:12:13:14:16 SD: 18.6311 cents 9:10:12:14:15:16:18 S SD: 15.0642 cents 10:11:13:15:16:18:20 SD: 13.4591 cents 11:12:15:17:18:20:22 SD: 12.1883 cents 12:13:16:18:20:21:24 SD: 9.1603 cents 13:14:17:20:21:23:26 SD: 8.8938 cents 14:15:19:21:23:25:28 SD: 5.9287 cents 24:26:32:36:39:43:48 SD: 5.4047 cents 25:27:33:38:41:45:50 SD: 5.3550 cents 27:29:36:41:44:48:54 SD: 2.4757 cents 33:35:44:50:54:59:66 SD: 2.0589 cents 45:48:60:68:74:80:90 SD: 1.8894 cents 57:61:76:86:93:102:114 SD: 1.5866 cents 60:64:80:91:98:107:120 SD: 0.8318 cents 102:109:136:154:167:182:204 SD: 0.7509 cents 105:112:140:159:172:187:210 SD: 0.7186 cents 129:138:172:195:211:230:258 SD: 0.6562 cents 135:144:180:204:221:241:270 SD: 0.5747 cents 148:158:197:224:242:264:296 SD: 0.5026 cents 162:173:216:245:265:289:324 SD: 0.1698 cents 222:237:296:336:363:396:444 SD: 0.1140 cents 384:410:512:581:628:685:768 SD: 0.0452 cents