Scala analysis: CD07_05_Egypt
Nage, ô Salîm, dans la citerne ! - Les Bédouins du Fayyûm (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 114.161 cents 114.160809 2: 195.799 cents 195.799434 3: 533.566 cents 533.565586 4: 602.868 cents 602.868470 5: 699.058 cents 699.058264 6: 940.656 cents 940.656019 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 259.3440 cents 259.3440 1: 114.1608 cents 114.1608 2: 81.6386 cents 81.6386 3: 337.7662 cents 337.7662 4: 69.3029 cents 69.3029 5: 96.1898 cents 96.1898 6: 241.5978 cents 241.5978 7: 259.3440 cents 259.3440
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.30288 cents 1: 1 81.63862 cents 1: 1 96.18979 cents 1: 1 114.16081 cents 1: 1 241.59776 cents 1: 1 259.34398 cents 1: 1 337.76615 cents 2: 1 165.49268 cents 2: 1 195.79943 cents 2: 1 337.78755 cents 2: 1 373.50479 cents 2: 1 407.06904 cents 2: 1 419.40478 cents 2: 1 500.94174 cents 3: 1 407.09043 cents 3: 1 455.14342 cents 3: 1 488.70766 cents 3: 1 503.25883 cents 3: 1 533.56559 cents 3: 1 597.13153 cents 3: 1 615.10254 cents 4: 1 584.89745 cents 4: 1 602.86847 cents 4: 1 666.43441 cents 4: 1 696.74117 cents 4: 1 711.29234 cents 4: 1 744.85658 cents 4: 1 792.90957 cents 5: 1 699.05826 cents 5: 1 780.59522 cents 5: 1 792.93096 cents 5: 1 826.49521 cents 5: 1 862.21245 cents 5: 1 1004.20057 cents 5: 1 1034.50732 cents 6: 1 862.23385 cents 6: 1 940.65602 cents 6: 1 958.40224 cents 6: 1 1085.83919 cents 6: 1 1103.81021 cents 6: 1 1118.36137 cents 6: 1 1130.69712 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 : 114.2 195.8 533.6 602.9 699.1 940.7 1200.0 114.2 : 81.6 419.4 488.7 584.9 826.5 1085.8 1200.0 195.8 : 337.8 407.1 503.3 744.9 1004.2 1118.4 1200.0 533.6 : 69.3 165.5 407.1 666.4 780.6 862.2 1200.0 602.9 : 96.2 337.8 597.1 711.3 792.9 1130.7 1200.0 699.1 : 241.6 500.9 615.1 696.7 1034.5 1103.8 1200.0 940.7 : 259.3 373.5 455.1 792.9 862.2 958.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.3029 .. 337.7662 cents 268.46327 cents 69.30288 cents 2: 165.4927 .. 500.9417 cents 335.44906 cents -172.27347 cents 3: 407.0904 .. 615.1025 cents 208.01211 cents -93.85130 cents 4: 584.8975 .. 792.9096 cents 208.01211 cents -30.20509 cents 5: 699.0583 .. 1034.5073 cents 335.44906 cents -93.85130 cents 6: 862.2338 .. 1130.6971 cents 268.46327 cents -172.27347 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 69.30288 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 337.76615 cents Average / Smallest step : 2.473614 Largest / Average step : 1.970303 Largest / Smallest step : 4.873768 Median interval of one step : 114.16081 cents, amount: 1 Least squares average step : 157.55113 cents, oct.: 1102.85789 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DBGACEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.02140 cents Scale diversity : 1.698150 Lumma stability : 0.115505 Lumma impropriety factor : 0.468712 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 : 0.02140 cents Number of recognisable fifths : 3, average 702.3639 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 64.3625 c. M: 114.1608 c. 8: 1 0 3 0 1 1 2 N SD: 41.4931 c. M:-66.4344 c. 9: 1 0 3 0 1 2 2 N S SD: 38.1868 c. M: 69.5351 c. 10: 1 1 2 1 1 2 2 P D3 S SD: 28.4807 c. M: 53.5656 c. 12: 1 1 3 1 1 2 3 N SD: 20.7256 c. M: 40.6560 c. Chromatic Hypophrygian inverse 14: 1 1 4 1 1 3 3 N S SD: 16.7588 c. M: 28.4465 c. 18: 2 1 5 1 1 4 4 N SD: 14.6207 c. M: 32.3916 c. 20: 2 1 6 1 2 4 4 N S SD: 12.7956 c. M:-20.9417 c. 22: 2 2 6 1 2 4 5 N SD: 11.6865 c. M:-22.3824 c. 24: 2 2 7 1 2 5 5 N SD: 9.1393 c. M:-16.4344 c. 29: 3 2 8 2 2 6 6 N SD: 10.0080 c. M:-17.8212 c. 31: 3 2 9 2 2 6 7 N SD: 8.3762 c. M:-16.4864 c. 32: 3 2 9 2 3 6 7 N SD: 7.0089 c. M:-13.4417 c. 36: 3 3 10 2 3 7 8 N SD: 6.3354 c. M: 14.1608 c. 38: 4 2 11 2 3 8 8 N SD: 6.2158 c. M:-12.1550 c. 41: 4 3 11 3 3 8 9 N SD: 6.5761 c. M:-11.7657 c. 42: 4 3 12 2 3 9 9 N SD: 6.4932 c. M: 13.3440 c. 43: 4 3 12 3 3 9 9 N SD: 5.4701 c. M:-11.0850 c. 48: 5 3 13 3 4 10 10 N SD: 6.6001 c. M:-10.8392 c. 50: 5 3 14 3 4 10 11 N SD: 4.1191 c. M:-5.8392 c. 60: 6 4 17 3 5 12 13 N SD: 3.8301 c. M:-6.4344 c. 72: 7 5 20 4 6 14 16 N SD: 3.5196 c. M: 7.3227 c. 74: 7 5 21 4 6 15 16 N SD: 1.4965 c. M: 2.8685 c. 115: 11 8 32 7 9 23 25 N SD: 1.5228 c. M:-2.4614 c. 135: 13 9 38 8 11 27 29 N SD: 1.5587 c. M:-3.1640 c. 139: 13 10 39 8 11 28 30 N SD: 1.5338 c. M:-2.7617 c. 153: 15 10 43 9 12 31 33 N SD: 1.4493 c. M:-3.4862 c. 167: 16 11 47 10 13 34 36 N SD: 1.3293 c. M: 2.0523 c. 171: 16 12 48 10 14 34 37 N SD: 1.3005 c. M:-2.6961 c. 177: 17 12 50 10 14 36 38 N SD: 1.1802 c. M:-2.0276 c. 189: 18 13 53 11 15 38 41 N SD: 0.6071 c. M:-1.0260 c. 263: 25 18 74 15 21 53 57 N SD: 0.5403 c. M: 0.9594 c. 283: 27 19 80 16 23 57 61 N SD: 0.6031 c. M: 0.7483 c. 324: 31 22 91 19 26 65 70 N SD: 0.5757 c. M:-0.9417 c. 338: 32 23 95 20 27 68 73 N SD: 0.5667 c. M: 1.0212 c. 380: 36 26 107 22 30 77 82 N SD: 0.5122 c. M: 1.1635 c. 398: 38 27 112 23 32 80 86 N SD: 0.2477 c. M:-0.4392 c. 472: 45 32 133 27 38 95 102 N SD: 0.2029 c. M:-0.3327 c. 661: 63 45 186 38 53 133 143 N SD: 0.1887 c. M:-0.2671 c. 778: 74 53 219 45 62 157 168 N SD: 0.1823 c. M: 0.3436 c. 810: 77 55 228 47 65 163 175 N SD: 0.1592 c. M: 0.2439 c. 884: 84 60 249 51 71 178 191 N SD: 0.1508 c. M: 0.3243 c. 999: 95 68 281 58 80 201 216 N SD: 0.1129 c. M: 0.2323 c. 1073: 102 73 302 62 86 216 232 N SD: 0.0866 c. M: 0.1155 c. 1471: 140 100 414 85 118 296 318 N SD: 0.0442 c. M: 0.0714 c. 2249: 214 153 633 130 180 453 486 N SD: 0.0427 c. M: 0.0809 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 1.4484 cents 3 x x 4 x x 5:6 S SD: 22.1888 cents 4 x x 5 x 6:7:8 S SD: 37.4875 cents 5 x 6 x 7:8:9:10 S SD: 36.7890 cents 6 x 7:8 x 9:10:12 S SD: 19.4840 cents 7 x 8 x 10 x 12:14 S SD: 9.7524 cents 8 x 9:11 x 12:14:16 SD: 6.8785 cents 9 x 10:12:13 x 16:18 SD: 15.0374 cents 10 x 11 x 14:15:17:20 SD: 8.6157 cents 11:12 x 15:16 x 19:22 SD: 11.7840 cents 12:13 x 16:17:18:21:24 SD: 8.5952 cents 13:14:15:18 x 19:22:26 SD: 13.3842 cents 14:15:16:19:20:21:24:28 SD: 5.6818 cents 18:19:20 x 26:27:31:36 SD: 6.9715 cents 19:20:21:26:27:28:33:38 SD: 6.8035 cents 22:24:25:30:31:33:38:44 SD: 6.5707 cents 24:26:27:33:34:36:41:48 SD: 4.8840 cents 26:28:29:35:37:39:45:52 SD: 3.9330 cents 28:30:31:38:40:42:48:56 SD: 3.8179 cents 31:33:35:42:44:46:53:62 SD: 3.8100 cents 32:34:36:44:45:48:55:64 SD: 3.6228 cents 33:35:37:45:47:49:57:66 SD: 3.1996 cents 41:44:46:56:58:61:71:82 SD: 2.6609 cents 42:45:47:57:59:63:72:84 SD: 2.5853 cents 44:47:49:60:62:66:76:88 SD: 2.1375 cents 50:53:56:68:71:75:86:100 SD: 2.0569 cents 58:62:65:79:82:87:100:116 SD: 0.7998 cents 132:141:148:180:187:198:227:264 SD: 0.7735 cents 133:142:149:181:188:199:229:266 SD: 0.5924 cents 158:169:177:215:224:237:272:316 SD: 0.5842 cents 161:172:180:219:228:241:277:322 SD: 0.4608 cents 175:187:196:238:248:262:301:350 SD: 0.3475 cents 219:234:245:298:310:328:377:438 SD: 0.3071 cents 233:249:261:317:330:349:401:466 SD: 0.2143 cents 324:346:363:441:459:485:558:648 SD: 0.1939 cents 410:438:459:558:581:614:706:820 SD: 0.1115 cents 468:500:524:637:663:701:806:936 SD: 0.1095 cents 543:580:608:739:769:813:935:1086 SD: 0.0787 cents