Scala analysis: CD04_14_rast_Egypt
Suite - Dâwûd Khudr Husnî (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 211.621 cents 211.621030 2: 351.900 cents 351.899935 3: 506.244 cents 506.243600 4: 715.720 cents 715.720387 5: 861.347 cents 861.347312 6: 1012.773 cents 1012.772858 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 187.2271 cents 187.2271 1: 211.6210 cents 211.6210 2: 140.2789 cents 140.2789 3: 154.3437 cents 154.3437 4: 209.4768 cents 209.4768 5: 145.6269 cents 145.6269 6: 151.4255 cents 151.4255 7: 187.2271 cents 187.2271
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 140.27891 cents 1: 1 145.62693 cents 1: 1 151.42555 cents 1: 1 154.34367 cents 1: 1 187.22714 cents 1: 1 209.47679 cents 1: 1 211.62103 cents 2: 1 294.62257 cents 2: 1 297.05247 cents 2: 1 338.65269 cents 2: 1 351.89994 cents 2: 1 355.10371 cents 2: 1 363.82045 cents 2: 1 398.84817 cents 3: 1 484.27961 cents 3: 1 504.09936 cents 3: 1 506.24360 cents 3: 1 506.52926 cents 3: 1 509.44738 cents 3: 1 539.12708 cents 3: 1 550.27372 cents 4: 1 649.72628 cents 4: 1 660.87292 cents 4: 1 690.55262 cents 4: 1 693.47074 cents 4: 1 693.75640 cents 4: 1 695.90064 cents 4: 1 715.72039 cents 5: 1 801.15183 cents 5: 1 836.17955 cents 5: 1 844.89629 cents 5: 1 848.10006 cents 5: 1 861.34731 cents 5: 1 902.94753 cents 5: 1 905.37743 cents 6: 1 988.37897 cents 6: 1 990.52321 cents 6: 1 1012.77286 cents 6: 1 1045.65633 cents 6: 1 1048.57445 cents 6: 1 1054.37307 cents 6: 1 1059.72109 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 : 211.6 351.9 506.2 715.7 861.3 1012.8 1200.0 211.6 : 140.3 294.6 504.1 649.7 801.2 988.4 1200.0 351.9 : 154.3 363.8 509.4 660.9 848.1 1059.7 1200.0 506.2 : 209.5 355.1 506.5 693.8 905.4 1045.7 1200.0 715.7 : 145.6 297.1 484.3 695.9 836.2 990.5 1200.0 861.3 : 151.4 338.7 550.3 690.6 844.9 1054.4 1200.0 1012.8: 187.2 398.8 539.1 693.5 902.9 1048.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 140.2789 .. 211.6210 cents 71.34212 cents 140.27891 cents 2: 294.6226 .. 398.8482 cents 104.22560 cents 83.00154 cents 3: 484.2796 .. 550.2737 cents 65.99410 cents 85.43144 cents 4: 649.7263 .. 715.7204 cents 65.99410 cents 99.45256 cents 5: 801.1518 .. 905.3774 cents 104.22560 cents 85.43144 cents 6: 988.3790 .. 1059.7211 cents 71.34212 cents 83.00154 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 140.27891 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.62103 cents Average / Smallest step : 1.222055 Largest / Average step : 1.234456 Largest / Smallest step : 1.508573 Median interval of one step : 154.34367 cents, amount: 1 Least squares average step : 172.00291 cents, oct.: 1204.02035 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GADFBCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 83.00154 cents Scale diversity : 1.423695 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.597397 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 : 0.28566 cents Number of recognisable fifths : 5, average 697.8802 cents Number of appreciable fifths : 4, average 693.4201 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% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 20.4573 c. M: 40.1925 c. Lebeng 15: 3 1 2 3 2 2 2 P D3 SD: 22.7384 c. M: 31.8999 c. 17: 3 2 2 3 2 2 3 SP D3 I SD: 12.2543 c. M: 24.5376 c. Safi al-Din's maqam Rast 24: 4 3 3 4 3 3 4 SP D3 I SD: 10.1184 c. M: 15.7204 c. Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz 28: 5 3 4 5 3 4 4 SP T3 SD: 9.1493 c. M:-15.7986 c. 33: 6 4 4 6 4 4 5 SP SD: 8.2904 c. M:-11.7364 c. 35: 6 4 5 6 4 5 5 SP T3 SD: 8.1672 c. M:-15.7986 c. 38: 7 4 5 7 4 5 6 SP SD: 6.5870 c. M:-10.5954 c. 40: 7 5 5 7 5 5 6 SP SD: 5.7042 c. M:-8.6527 c. 45: 8 5 6 8 5 6 7 SP SD: 4.0241 c. M: 8.0140 c. 52: 9 6 7 9 6 7 8 SP SD: 4.0312 c. M: 7.5012 c. 57: 10 7 7 10 7 7 9 SP SD: 2.5754 c. M:-5.9948 c. 64: 11 8 8 11 8 8 10 SP SD: 2.9166 c. M: 5.3710 c. 78: 14 9 10 14 9 10 12 SP SD: 3.4023 c. M:-7.3565 c. 79: 14 9 10 14 10 10 12 SP SD: 3.3809 c. M: 4.9778 c. 85: 15 10 11 15 10 11 13 SP SD: 2.3018 c. M:-4.2796 c. 102: 18 12 13 18 12 13 16 SP SD: 1.3274 c. M: 2.5238 c. 109: 19 13 14 19 13 14 17 SP SD: 1.3690 c. M: 2.6317 c. 142: 25 17 18 25 17 18 22 SP SD: 1.6370 c. M:-3.0296 c. 149: 26 18 19 26 18 19 23 SP SD: 1.5838 c. M:-2.4625 c. 154: 27 18 20 27 19 19 24 SP SD: 1.5772 c. M:-3.5878 c. 159: 28 19 20 28 19 20 25 SP SD: 1.3630 c. M:-2.8170 c. 166: 29 20 21 29 20 21 26 SP SD: 1.2592 c. M:-2.3169 c. 171: 30 20 22 30 21 21 27 SP SD: 1.2837 c. M: 2.2465 c. 181: 32 21 23 32 22 23 28 SP SD: 1.1406 c. M: 2.3762 c. 188: 33 22 24 33 23 24 29 SP SD: 1.2493 c. M:-2.1208 c. 194: 34 23 25 34 23 25 30 SP SD: 1.2848 c. M:-1.8054 c. 198: 35 23 26 34 24 25 31 SP SD: 1.1834 c. M:-2.8473 c. 199: 35 23 26 35 24 25 31 SP SD: 1.1671 c. M: 2.1512 c. 205: 36 24 26 36 25 26 32 SP SD: 1.3353 c. M: 2.8290 c. 206: 36 24 27 36 25 26 32 SP SD: 1.2851 c. M: 2.3854 c. 211: 37 25 27 37 25 27 33 SP SD: 1.1676 c. M: 2.5795 c. 216: 38 25 28 38 26 27 34 SP SD: 1.0728 c. M: 1.8999 c. 223: 39 26 29 39 27 28 35 SP SD: 1.1425 c. M: 2.1242 c. 238: 42 28 30 42 29 30 37 SP SD: 0.9628 c. M: 2.0419 c. 242: 43 28 31 42 30 30 38 SP SD: 1.1453 c. M: 1.6708 c. 245: 43 29 31 43 30 31 38 SP SD: 0.9816 c. M: 1.7538 c. 255: 45 30 33 44 31 32 40 SP SD: 0.9486 c. M:-1.9917 c. 256: 45 30 33 45 31 32 40 SP SD: 0.7687 c. M:-1.4671 c. 270: 48 31 35 47 33 34 42 SP SD: 0.8315 c. M:-1.7123 c. 273: 48 32 35 48 33 34 43 SP SD: 0.8302 c. M: 1.7838 c. 277: 49 32 36 48 34 35 43 SP SD: 0.7650 c. M: 0.9974 c. 280: 49 33 36 49 34 35 44 SP SD: 0.8404 c. M: 1.6210 c. 283: 50 33 36 50 34 36 44 SP SD: 0.7946 c. M: 1.6500 c. 290: 51 34 37 51 35 37 45 SP SD: 0.7439 c. M: 1.4160 c. 294: 52 34 38 51 36 37 46 SP SD: 0.7101 c. M: 1.4347 c. 327: 58 38 42 57 40 41 51 SP SD: 0.6302 c. M:-1.2230 c. 334: 59 39 43 58 41 42 52 SP SD: 0.5165 c. M:-0.9281 c. 372: 66 43 48 65 45 47 58 SP SD: 0.5287 c. M:-1.2822 c. 379: 67 44 49 66 46 48 59 SP SD: 0.3401 c. M:-0.5162 c. 436: 77 51 56 76 53 55 68 SP SD: 0.2122 c. M:-0.3936 c. 801: 141 94 103 140 97 101 125 SP SD: 0.2217 c. M: 0.3851 c. 815: 144 95 105 142 99 103 127 SP SD: 0.2082 c. M:-0.4035 c. 879: 155 103 113 153 107 111 137 SP SD: 0.2194 c. M: 0.3620 c. 917: 162 107 118 160 111 116 143 SP SD: 0.2020 c. M:-0.3746 c. 924: 163 108 119 161 112 117 144 SP SD: 0.1808 c. M: 0.3084 c. 986: 174 115 127 172 120 124 154 SP SD: 0.1701 c. M:-0.3160 c. 1071: 189 125 138 187 130 135 167 SP SD: 0.1759 c. M:-0.2773 c. 1078: 190 126 139 188 131 136 168 SP SD: 0.1712 c. M:-0.2499 c. 1088: 192 127 140 190 132 137 170 SP SD: 0.1249 c. M: 0.2729 c. 1095: 193 128 141 191 133 138 171 SP SD: 0.1006 c. M: 0.1701 c. 1531: 270 179 197 267 186 193 239 SP SD: 0.0698 c. M: 0.1097 c. 2257: 398 264 290 394 274 285 352 SP SD: 0.0603 c. M: 0.0850 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: 6.8827 cents 3 x x 4 x 5 x 6 S SD: 8.1428 cents 4 x 5 x 6 x 7:8 S SD: 14.3726 cents 5 x 6:7 x 8:9:10 S SD: 19.4180 cents 6:7 x 8:9:10:11:12 S SD: 11.9926 cents 7:8 x 9:11:12:13:14 SD: 22.6873 cents 8:9:10:11:12:13:14:16 S SD: 10.9075 cents 9:10:11:12:14:15:16:18 S SD: 9.2241 cents 14:16:17:19:21:23:25:28 SD: 5.3611 cents 23:26:28:31:35:38:41:46 SD: 3.4104 cents 31:35:38:42:47:51:56:62 SD: 3.2801 cents 39:44:48:52:59:64:70:78 SD: 1.7376 cents 45:51:55:60:68:74:81:90 SD: 1.6742 cents 53:60:65:71:80:87:95:106 SD: 0.8742 cents 107:121:131:143:162:176:192:214 SD: 0.7441 cents 115:130:141:154:174:189:206:230 SD: 0.5983 cents 138:156:169:185:209:227:248:276 SD: 0.5619 cents 147:166:180:197:222:242:264:294 SD: 0.4771 cents 177:200:217:237:268:291:318:354 SD: 0.4597 cents 186:210:228:249:281:306:334:372 SD: 0.3740 cents 191:216:234:256:289:314:343:382 SD: 0.3315 cents 209:236:256:280:316:344:375:418 SD: 0.3021 cents 262:296:321:351:396:431:470:524 SD: 0.1957 cents 377:426:462:505:570:620:677:754 SD: 0.1109 cents 453:512:555:607:685:745:813:906 SD: 0.0995 cents 492:556:603:659:744:809:883:984 SD: 0.0968 cents