Scala analysis: CD11_02_rast_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (rast, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 205.669 cents 205.669188 2: 311.105 cents 311.105028 3: 485.549 cents 485.548525 4: 695.658 cents 695.657668 5: 852.240 cents 852.239954 6: 1002.340 cents 1002.340137 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 197.6599 cents 197.6599 1: 205.6692 cents 205.6692 2: 105.4358 cents 105.4358 3: 174.4435 cents 174.4435 4: 210.1091 cents 210.1091 5: 156.5823 cents 156.5823 6: 150.1002 cents 150.1002 7: 197.6599 cents 197.6599
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.43584 cents 1: 1 150.10018 cents 1: 1 156.58229 cents 1: 1 174.44350 cents 1: 1 197.65986 cents 1: 1 205.66919 cents 1: 1 210.10914 cents 2: 1 279.87934 cents 2: 1 306.68247 cents 2: 1 311.10503 cents 2: 1 347.76005 cents 2: 1 366.69143 cents 2: 1 384.55264 cents 2: 1 403.32905 cents 3: 1 485.54852 cents 3: 1 489.98848 cents 3: 1 504.34233 cents 3: 1 508.76489 cents 3: 1 516.79161 cents 3: 1 541.13493 cents 3: 1 553.42923 cents 4: 1 646.57077 cents 4: 1 658.86507 cents 4: 1 683.20839 cents 4: 1 691.23511 cents 4: 1 695.65767 cents 4: 1 710.01152 cents 4: 1 714.45147 cents 5: 1 796.67095 cents 5: 1 815.44736 cents 5: 1 833.30857 cents 5: 1 852.23995 cents 5: 1 888.89497 cents 5: 1 893.31753 cents 5: 1 920.12066 cents 6: 1 989.89086 cents 6: 1 994.33081 cents 6: 1 1002.34014 cents 6: 1 1025.55650 cents 6: 1 1043.41771 cents 6: 1 1049.89982 cents 6: 1 1094.56416 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 : 205.7 311.1 485.5 695.7 852.2 1002.3 1200.0 205.7 : 105.4 279.9 490.0 646.6 796.7 994.3 1200.0 311.1 : 174.4 384.6 541.1 691.2 888.9 1094.6 1200.0 485.5 : 210.1 366.7 516.8 714.5 920.1 1025.6 1200.0 695.7 : 156.6 306.7 504.3 710.0 815.4 989.9 1200.0 852.2 : 150.1 347.8 553.4 658.9 833.3 1043.4 1200.0 1002.3: 197.7 403.3 508.8 683.2 893.3 1049.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.4358 .. 210.1091 cents 104.67330 cents 105.43584 cents 2: 279.8793 .. 403.3291 cents 123.44971 cents 69.77019 cents 3: 485.5485 .. 553.4292 cents 67.88071 cents 82.21947 cents 4: 646.5708 .. 714.4515 cents 67.88071 cents 93.14153 cents 5: 796.6709 .. 920.1207 cents 123.44971 cents 82.21947 cents 6: 989.8909 .. 1094.5642 cents 104.67330 cents 69.77019 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.43584 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 210.10914 cents Average / Smallest step : 1.625904 Largest / Average step : 1.225637 Largest / Smallest step : 1.992768 Median interval of one step : 174.44350 cents, amount: 1 Least squares average step : 169.58854 cents, oct.: 1187.11980 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FADGCBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 69.77019 cents Scale diversity : 1.565469 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.506660 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 : 4.42256 cents Number of recognisable fifths : 4, average 702.8389 cents Number of appreciable fifths : 3, average 698.9681 cents Best fifths 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: 23.3527 c. M: 34.2406 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 19.5290 c. M:-47.7600 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 17: 3 1 3 3 2 2 3 SP D3 S SD: 13.4568 c. M: 28.7521 c. Dastgah-e Nava 23: 4 2 3 4 3 3 4 SP SD: 11.9378 c. M: 17.4573 c. 24: 4 2 4 4 3 3 4 SP D3 S SD: 7.4991 c. M:-14.4515 c. Dastgah-e Nava, Maqam Ushaq Masri 30: 5 3 4 5 4 4 5 SP SD: 8.8034 c. M: 15.6577 c. 31: 5 3 5 5 4 4 5 SP D3 S SD: 8.2806 c. M:-17.6773 c. 34: 6 3 5 6 4 4 6 SP SD: 8.3128 c. M: 14.1048 c. 35: 6 3 5 6 5 4 6 SP SD: 5.6693 c. M: 9.9434 c. 42: 7 4 6 7 6 5 7 SP SD: 4.9377 c. M: 9.9434 c. 47: 8 4 7 8 6 6 8 SP SD: 5.3648 c. M: 9.6868 c. 54: 9 5 8 9 7 7 9 SP SD: 4.7111 c. M: 7.7955 c. 59: 10 5 9 10 8 7 10 SP SD: 3.8178 c. M: 6.0203 c. 62: 11 5 9 11 8 8 10 SP SD: 3.2891 c. M:-7.2340 c. 65: 11 6 9 12 8 8 11 SP SD: 4.1058 c. M:-5.8808 c. 66: 11 6 10 11 9 8 11 SP SD: 3.7469 c. M: 5.6692 c. 69: 12 6 10 12 9 9 11 SP SD: 2.8106 c. M:-6.3555 c. 77: 13 7 11 14 10 9 13 SP SD: 3.7019 c. M:-5.6410 c. 81: 14 7 12 14 11 10 13 SP SD: 3.5764 c. M:-7.0193 c. 86: 15 7 13 15 11 11 14 SP SD: 2.6399 c. M: 4.1283 c. 93: 16 8 14 16 12 12 15 SP SD: 2.5067 c. M:-4.7741 c. 103: 18 9 15 18 13 13 17 SP SD: 2.8562 c. M:-4.0395 c. 104: 18 9 15 18 14 13 17 SP SD: 1.7412 c. M: 3.3500 c. 128: 22 11 19 22 17 16 21 SP SD: 1.3189 c. M:-1.9515 c. 146: 25 13 21 26 19 18 24 SP SD: 1.5782 c. M:-2.9725 c. 158: 27 14 23 28 20 20 26 SP SD: 1.3529 c. M:-3.0765 c. 169: 29 15 24 30 22 21 28 SP SD: 1.2275 c. M: 2.7083 c. 176: 30 16 25 31 23 22 29 SP SD: 1.1857 c. M:-2.5313 c. 193: 33 17 28 34 25 24 32 SP SD: 0.6560 c. M: 1.3039 c. 262: 45 23 38 46 34 33 43 SP SD: 0.4155 c. M:-0.7133 c. 297: 51 26 43 52 39 37 49 SP SD: 0.4357 c. M: 0.7082 c. 321: 55 28 47 56 42 40 53 SP SD: 0.4160 c. M: 0.8247 c. 455: 78 40 66 80 59 57 75 SP SD: 0.2961 c. M:-0.6061 c. 462: 79 41 67 81 60 58 76 SP SD: 0.3671 c. M:-0.5833 c. 497: 85 44 72 87 65 62 82 SP SD: 0.2865 c. M: 0.4378 c. 559: 96 49 81 98 73 70 92 SP SD: 0.2387 c. M:-0.4131 c. 583: 100 51 85 102 76 73 96 SP SD: 0.1594 c. M: 0.2989 c. 776: 133 68 113 136 101 97 128 SP SD: 0.1836 c. M: 0.2803 c. 783: 134 69 114 137 102 98 129 SP SD: 0.1710 c. M: 0.3052 c. 845: 145 74 123 148 110 106 139 SP SD: 0.1800 c. M:-0.2634 c. 880: 151 77 128 154 115 110 145 SP SD: 0.1472 c. M:-0.2399 c. 887: 152 78 129 155 116 111 146 SP SD: 0.1337 c. M: 0.2800 c. 1045: 179 92 152 183 136 131 172 SP SD: 0.1543 c. M:-0.2275 c. 1073: 184 94 156 188 140 134 177 SP SD: 0.1571 c. M: 0.2898 c. 1080: 185 95 157 189 141 135 178 SP SD: 0.0733 c. M: 0.1179 c. 1342: 230 118 195 235 175 168 221 SP SD: 0.0446 c. M: 0.0790 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: 3.1487 cents 3 x x 4 x 5 x 6 S SD: 11.4880 cents 4 x 5 x 6 x 7:8 S SD: 20.6446 cents 5 x 6:7 x 8:9:10 S SD: 21.1108 cents 6 x 7:8:9:10:11:12 S SD: 12.2420 cents 7:8 x 9:10:11:12:14 S SD: 22.9508 cents 8:9:10:11:12:13:14:16 S SD: 15.1759 cents 9:10:11:12:13:15:16:18 SD: 11.5809 cents 10:11:12:13:15:16:18:20 SD: 9.4921 cents 12 x 14:16:18:20:21:24 S SD: 10.9383 cents 14:16:17:19:21:23:25:28 SD: 8.1208 cents 15:17:18:20:22:25:27:30 SD: 7.3204 cents 16:18:19:21:24:26:29:32 SD: 5.1993 cents 22:25:26:29:33:36:39:44 SD: 4.3842 cents 24:27:29:32:36:39:43:48 SD: 3.6730 cents 30:34:36:40:45:49:54:60 SD: 3.4366 cents 31:35:37:41:46:51:55:62 SD: 2.8103 cents 40:45:48:53:60:65:71:80 SD: 2.4051 cents 41:46:49:54:61:67:73:82 SD: 2.0351 cents 46:52:55:61:69:75:82:92 SD: 1.6477 cents 55:62:66:73:82:90:98:110 SD: 1.1798 cents 71:80:85:94:106:116:127:142 SD: 0.7746 cents 111:125:133:147:166:182:198:222 SD: 0.6425 cents 127:143:152:168:190:208:227:254 SD: 0.5993 cents 142:160:170:188:212:232:253:284 SD: 0.5741 cents 143:161:171:189:214:234:255:286 SD: 0.5706 cents 152:171:182:201:227:249:271:304 SD: 0.5584 cents 157:177:188:208:235:257:280:314 SD: 0.5494 cents 167:188:200:221:250:273:298:334 SD: 0.4905 cents 176:198:211:233:263:288:314:352 SD: 0.4890 cents 182:205:218:241:272:298:325:364 SD: 0.3621 cents 198:223:237:262:296:324:353:396 SD: 0.2318 cents 269:303:322:356:402:440:480:538 SD: 0.1078 cents