Scala analysis: CD12_22_Iraq
(Suite) Et les larmes de mes yeux - Ensemble de Muhammad Al-Qubbbânjî (unknown maqam, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.171 cents 145.170637 2: 369.280 cents 369.280497 3: 593.161 cents 593.160779 4: 838.286 cents 838.286271 5: 1068.331 cents 1068.331359 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 131.6686 cents 131.6686 1: 145.1706 cents 145.1706 2: 224.1099 cents 224.1099 3: 223.8803 cents 223.8803 4: 245.1255 cents 245.1255 5: 230.0451 cents 230.0451 6: 131.6686 cents 131.6686
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 131.66864 cents 1: 1 145.17064 cents 1: 1 223.88028 cents 1: 1 224.10986 cents 1: 1 230.04509 cents 1: 1 245.12549 cents 2: 1 276.83928 cents 2: 1 361.71373 cents 2: 1 369.28050 cents 2: 1 447.99014 cents 2: 1 469.00577 cents 2: 1 475.17058 cents 3: 1 500.94914 cents 3: 1 506.88437 cents 3: 1 593.16078 cents 3: 1 606.83922 cents 3: 1 693.11563 cents 3: 1 699.05086 cents 4: 1 724.82942 cents 4: 1 730.99423 cents 4: 1 752.00986 cents 4: 1 830.71950 cents 4: 1 838.28627 cents 4: 1 923.16072 cents 5: 1 954.87451 cents 5: 1 969.95491 cents 5: 1 975.89014 cents 5: 1 976.11972 cents 5: 1 1054.82936 cents 5: 1 1068.33136 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 : 145.2 369.3 593.2 838.3 1068.3 1200.0 145.2 : 224.1 448.0 693.1 923.2 1054.8 1200.0 369.3 : 223.9 469.0 699.1 830.7 975.9 1200.0 593.2 : 245.1 475.2 606.8 752.0 976.1 1200.0 838.3 : 230.0 361.7 506.9 731.0 954.9 1200.0 1068.3: 131.7 276.8 500.9 724.8 970.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.6686 .. 245.1255 cents 113.45685 cents 131.66864 cents 2: 276.8393 .. 475.1706 cents 198.33130 cents 31.71379 cents 3: 500.9491 .. 699.0509 cents 198.10172 cents 25.77856 cents 4: 724.8294 .. 923.1607 cents 198.33130 cents 25.77856 cents 5: 954.8745 .. 1068.3314 cents 113.45685 cents 31.71379 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 131.66864 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 245.12549 cents Average / Smallest step : 1.518965 Largest / Average step : 1.225627 Largest / Smallest step : 1.861685 Median interval of one step : 223.99507 cents, amount: 0 Least squares average step : 203.93424 cents, oct.: 1223.60544 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : BDCFEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 25.77856 cents Scale diversity : 1.521300 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.315268 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 : 0.22958 cents Number of recognisable fifths : 2, average 696.0832 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 41.0929 c. M: 68.3314 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 39.8860 c. M: 78.8751 c. 8: 1 1 2 2 1 1 N D3 I SD: 38.7610 c. M: 69.2805 c. 9: 1 2 1 2 2 1 P D3 SD: 31.9681 c. M: 59.8274 c. 10: 1 2 2 2 2 1 P D3 I SD: 12.2852 c. M: 25.1706 c. 16: 2 3 3 3 3 2 SP D3 I SD: 10.1273 c. M: 18.3314 c. 26: 3 5 5 5 5 3 SP D3 I SD: 5.6927 c. M: 7.5170 c. 43: 5 8 8 9 8 5 SP SD: 5.5906 c. M: 7.8662 c. 49: 6 9 9 10 10 5 P SD: 5.0468 c. M:-9.2197 c. 56: 7 10 11 11 11 6 SP SD: 4.3061 c. M:-6.8392 c. 64: 8 12 12 13 12 7 SP SD: 4.7053 c. M:-6.8392 c. 65: 8 12 12 13 13 7 SP SD: 3.5244 c. M: 7.5170 c. 67: 8 13 12 14 13 7 SP SD: 4.2175 c. M:-6.8389 c. 69: 8 13 13 14 13 8 SP SD: 4.5533 c. M: 7.4618 c. 71: 9 13 13 15 13 8 SP SD: 4.3945 c. M:-6.9420 c. 72: 9 13 14 14 14 8 SP SD: 4.1680 c. M:-6.8392 c. 73: 9 13 14 15 14 8 SP SD: 3.3653 c. M: 7.6367 c. 74: 9 14 14 15 14 8 SP SD: 3.8588 c. M:-6.8392 c. 75: 9 14 14 15 15 8 SP SD: 3.0912 c. M: 6.2863 c. 81: 10 15 15 17 15 9 SP SD: 2.9175 c. M:-6.1582 c. 83: 10 16 15 17 16 9 SP SD: 2.7940 c. M:-6.6231 c. 85: 10 16 16 17 17 9 SP SD: 3.4341 c. M: 5.3451 c. 89: 11 16 17 18 17 10 SP SD: 2.9649 c. M: 5.2356 c. 91: 11 17 17 19 17 10 SP SD: 2.3189 c. M:-5.6698 c. 93: 11 18 17 19 18 10 SP SD: 2.6421 c. M:-4.9131 c. 97: 12 18 18 20 18 11 SP SD: 2.6718 c. M: 4.4138 c. 99: 12 18 19 20 19 11 SP SD: 2.5499 c. M: 5.6441 c. 100: 12 19 18 21 19 11 SP SD: 2.5313 c. M: 5.1608 c. 101: 12 19 19 21 19 11 SP SD: 2.4929 c. M:-5.2781 c. 107: 13 20 20 22 20 12 SP SD: 1.7832 c. M: 2.9108 c. 117: 14 22 22 24 22 13 SP SD: 1.6178 c. M:-2.7394 c. 126: 15 24 23 26 24 14 SP SD: 1.8249 c. M: 2.6846 c. 130: 16 24 24 27 25 14 SP SD: 1.8691 c. M:-2.5217 c. 133: 16 25 25 27 25 15 SP SD: 1.8536 c. M: 3.6697 c. 139: 17 26 26 28 27 15 SP SD: 1.7396 c. M:-2.5227 c. 140: 17 26 26 29 27 15 SP SD: 1.6497 c. M:-3.0972 c. 146: 18 27 27 30 28 16 SP SD: 1.2892 c. M:-2.7746 c. 156: 19 29 29 32 30 17 SP SD: 0.6502 c. M:-0.9832 c. 182: 22 34 34 37 35 20 SP SD: 0.4019 c. M: 0.9236 c. 299: 36 56 56 61 57 33 SP SD: 0.5781 c. M:-0.8192 c. 328: 40 61 61 67 63 36 SP SD: 0.5607 c. M:-1.1708 c. 338: 41 63 63 69 65 37 SP SD: 0.2864 c. M: 0.4164 c. 455: 55 85 85 93 87 50 SP SD: 0.2130 c. M:-0.3950 c. 611: 74 114 114 125 117 67 SP SD: 0.1593 c. M:-0.3389 c. 637: 77 119 119 130 122 70 SP SD: 0.1393 c. M:-0.2458 c. 793: 96 148 148 162 152 87 SP SD: 0.0519 c. M:-0.1005 c. 1768: 214 330 330 361 339 194 SP SD: 0.0482 c. M:-0.0782 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 54.3971 cents 3 x x 4:5 x 6 S SD: 35.2289 cents 4 x 5:6 x 7:8 S SD: 37.1043 cents 5 x 6:7:8:9:10 S SD: 15.7096 cents 6 x 7:8:10:11:12 S SD: 29.6764 cents 7:8:9:10:11:13:14 SD: 20.7116 cents 8:9:10:11:13:15:16 SD: 12.7952 cents 10:11:12:14:16:19:20 SD: 12.7222 cents 12:13:15:17:19:22:24 SD: 8.5245 cents 13:14:16:18:21:24:26 S SD: 6.1910 cents 21:23:26:30:34:39:42 SD: 4.6312 cents 22:24:27:31:36:41:44 SD: 3.8749 cents 32:35:40:45:52:59:64 SD: 3.6782 cents 34:37:42:48:55:63:68 SD: 1.2903 cents 80:87:99:113:130:148:160 SD: 1.0345 cents 88:96:109:124:143:163:176 SD: 1.0287 cents 93:101:115:131:151:172:186 SD: 0.8042 cents 101:110:125:142:164:187:202 SD: 0.7879 cents 117:127:145:165:190:217:234 SD: 0.7681 cents 125:136:155:176:203:232:250 SD: 0.7032 cents 127:138:157:179:206:235:254 SD: 0.6857 cents 135:147:167:190:219:250:270 SD: 0.5626 cents 159:173:197:224:258:295:318 SD: 0.4348 cents 193:210:239:272:313:358:386 SD: 0.3903 cents 206:224:255:290:334:382:412 SD: 0.3534 cents 218:237:270:307:354:404:436 SD: 0.2767 cents 252:274:312:355:409:467:504 SD: 0.1091 cents 538:585:666:758:873:997:1076 SD: 0.1022 cents