Scala analysis: CD05_10_saba_Egypt
Suite - ‘Abduh al-Ḥāmūlī (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.952 cents 146.952011 2: 304.210 cents 304.210233 3: 414.631 cents 414.631436 4: 731.953 cents 731.953264 5: 802.305 cents 802.304870 6: 1006.417 cents 1006.416788 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 193.5832 cents 193.5832 1: 146.9520 cents 146.9520 2: 157.2582 cents 157.2582 3: 110.4212 cents 110.4212 4: 317.3218 cents 317.3218 5: 70.3516 cents 70.3516 6: 204.1119 cents 204.1119 7: 193.5832 cents 193.5832
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 70.35161 cents 1: 1 110.42120 cents 1: 1 146.95201 cents 1: 1 157.25822 cents 1: 1 193.58321 cents 1: 1 204.11192 cents 1: 1 317.32183 cents 2: 1 267.67942 cents 2: 1 274.46352 cents 2: 1 304.21023 cents 2: 1 340.53522 cents 2: 1 387.67343 cents 2: 1 397.69513 cents 2: 1 427.74303 cents 3: 1 414.63144 cents 3: 1 468.04674 cents 3: 1 497.79345 cents 3: 1 498.09464 cents 3: 1 544.64714 cents 3: 1 585.00125 cents 3: 1 591.78535 cents 4: 1 608.21465 cents 4: 1 614.99875 cents 4: 1 655.35286 cents 4: 1 701.90536 cents 4: 1 702.20656 cents 4: 1 731.95326 cents 4: 1 785.36856 cents 5: 1 772.25697 cents 5: 1 802.30487 cents 5: 1 812.32657 cents 5: 1 859.46478 cents 5: 1 895.78977 cents 5: 1 925.53648 cents 5: 1 932.32057 cents 6: 1 882.67817 cents 6: 1 995.88808 cents 6: 1 1006.41679 cents 6: 1 1042.74178 cents 6: 1 1053.04799 cents 6: 1 1089.57880 cents 6: 1 1129.64839 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 : 147.0 304.2 414.6 732.0 802.3 1006.4 1200.0 147.0 : 157.3 267.7 585.0 655.4 859.5 1053.0 1200.0 304.2 : 110.4 427.7 498.1 702.2 895.8 1042.7 1200.0 414.6 : 317.3 387.7 591.8 785.4 932.3 1089.6 1200.0 732.0 : 70.4 274.5 468.0 615.0 772.3 882.7 1200.0 802.3 : 204.1 397.7 544.6 701.9 812.3 1129.6 1200.0 1006.4: 193.6 340.5 497.8 608.2 925.5 995.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.3516 .. 317.3218 cents 246.97022 cents 70.35161 cents 2: 267.6794 .. 427.7430 cents 160.06361 cents -49.64240 cents 3: 414.6314 .. 591.7854 cents 177.15392 cents -13.11159 cents 4: 608.2146 .. 785.3686 cents 177.15392 cents 16.42930 cents 5: 772.2570 .. 932.3206 cents 160.06361 cents -13.11159 cents 6: 882.6782 .. 1129.6484 cents 246.97022 cents -49.64240 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 70.35161 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 317.32183 cents Average / Smallest step : 2.436740 Largest / Average step : 1.851044 Largest / Smallest step : 4.510513 Median interval of one step : 157.25822 cents, amount: 1 Least squares average step : 166.97932 cents, oct.: 1168.85525 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CDBGAFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.11159 cents Scale diversity : 1.739889 Lumma stability : 0.130944 Lumma impropriety factor : 0.104590 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 : 0.30119 cents Number of recognisable fifths : 2, average 702.0560 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 42.8957 c. M: 71.7743 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 29.8542 c. M: 52.3049 c. 11: 1 2 1 3 0 2 2 N SD: 28.1369 c. M: 38.6685 c. 12: 1 2 1 3 1 2 2 P D3 SD: 22.3728 c. M: 46.9520 c. Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4 15: 2 2 1 4 1 3 2 N SD: 16.5170 c. M:-33.5832 c. 17: 2 2 2 4 1 3 3 P SD: 17.9998 c. M: 26.0709 c. 18: 2 2 2 5 1 3 3 N SD: 16.2896 c. M: 37.5436 c. 20: 2 3 2 5 1 4 3 P SD: 15.1084 c. M: 26.9520 c. 21: 3 2 2 6 1 4 3 N SD: 15.9029 c. M:-24.4766 c. 23: 3 3 2 6 1 4 4 N SD: 10.6627 c. M: 19.6962 c. 24: 3 3 2 7 1 4 4 N SD: 9.3600 c. M:-18.0467 c. 25: 3 3 3 6 2 4 4 P SD: 11.3773 c. M:-17.3686 c. 26: 3 4 2 7 1 5 4 N SD: 11.1118 c. M:-18.8667 c. 30: 4 4 2 8 2 5 5 N SD: 10.8431 c. M:-15.7898 c. 31: 4 4 3 8 2 5 5 N SD: 6.9874 c. M:-11.1750 c. 43: 5 6 4 11 3 7 7 N SD: 4.9445 c. M: 7.4171 c. 49: 6 6 5 13 3 8 8 N SD: 4.7347 c. M: 10.3327 c. 51: 6 7 5 13 3 9 8 N SD: 4.7162 c. M:-8.8980 c. 63: 8 8 6 16 4 11 10 N SD: 4.3188 c. M: 8.1437 c. 64: 8 8 6 17 4 11 10 N SD: 3.4769 c. M:-6.0832 c. 67: 8 9 6 18 4 11 11 N SD: 2.7156 c. M: 3.6684 c. 75: 9 10 7 20 4 13 12 N SD: 2.2305 c. M:-4.0467 c. 87: 11 11 8 23 5 15 14 N SD: 2.0854 c. M:-4.7721 c. 99: 12 13 9 26 6 17 16 N SD: 2.3078 c. M: 4.6805 c. 115: 14 15 11 30 7 19 19 N SD: 2.2833 c. M: 4.6777 c. 118: 14 16 11 31 7 20 19 N SD: 2.0169 c. M: 4.5791 c. 130: 16 17 12 34 8 22 21 N SD: 1.1561 c. M: 2.7225 c. 141: 17 19 13 37 8 24 23 N SD: 1.9115 c. M:-2.3898 c. 142: 17 19 13 38 8 24 23 N SD: 1.7974 c. M: 3.2900 c. 154: 19 20 14 41 9 26 25 N SD: 0.9146 c. M: 1.6444 c. 205: 25 27 19 54 12 35 33 N SD: 0.4954 c. M:-0.9783 c. 284: 35 37 26 75 17 48 46 N SD: 0.6530 c. M: 0.9673 c. 292: 36 38 27 77 17 50 47 N SD: 0.5914 c. M:-0.9932 c. 328: 40 43 30 87 19 56 53 N SD: 0.7069 c. M: 1.2168 c. 335: 41 44 31 88 20 57 54 N SD: 0.5805 c. M: 1.2070 c. 359: 44 47 33 95 21 61 58 N SD: 0.1380 c. M: 0.2887 c. 564: 69 74 52 149 33 96 91 N SD: 0.1338 c. M:-0.2622 c. 923: 113 121 85 244 54 157 149 N SD: 0.0839 c. M: 0.1380 c. 1282: 157 168 118 339 75 218 207 N SD: 0.0825 c. M: 0.1765 c. 1910: 234 250 176 505 112 325 308 N SD: 0.0619 c. M: 0.1265 c. 1977: 242 259 182 523 116 336 319 N SD: 0.0775 c. M:-0.1231 c. 2115: 259 277 195 559 124 360 341 N SD: 0.0739 c. M:-0.1203 c. 2182: 267 286 201 577 128 371 352 N SD: 0.0643 c. M: 0.1142 c. 2269: 278 297 209 600 133 386 366 N SD: 0.0511 c. M: 0.1115 c. 2336: 286 306 215 618 137 397 377 N SD: 0.0725 c. M: 0.1006 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: 14.9991 cents 3 x x 4 x 5 x 6 S SD: 39.0024 cents 4 x x 5:6 x 7:8 S SD: 13.9527 cents 5 x 6 x x 8:9:10 S SD: 4.9065 cents 6 x 7:8:9:10:11:12 S SD: 22.2543 cents 7 x 8:9 x 11:13:14 SD: 20.4032 cents 8:9 x 10:12:13:14:16 S SD: 14.7385 cents 9:10:11 x 14 x 16:18 SD: 13.1393 cents 10:11:12:13:15:16:18:20 SD: 8.0531 cents 11:12:13:14:17 x 20:22 SD: 6.5274 cents 13:14 x 17:20:21:23:26 SD: 10.7350 cents 14:15:17:18:21:22:25:28 SD: 8.4433 cents 15:16:18:19:23:24:27:30 SD: 5.9239 cents 19:21:23:24:29:30:34:38 SD: 5.7778 cents 21:23:25:27:32:33:38:42 SD: 5.2445 cents 22:24:26:28:34:35:39:44 SD: 4.4078 cents 25:27:30:32:38:40:45:50 SD: 4.0040 cents 32:35:38:41:49:51:57:64 SD: 2.9351 cents 36:39:43:46:55:57:64:72 SD: 2.6021 cents 42:46:50:53:64:67:75:84 SD: 2.5214 cents 44:48:52:56:67:70:79:88 SD: 2.5199 cents 46:50:55:58:70:73:82:92 SD: 2.3744 cents 47:51:56:60:72:75:84:94 SD: 1.9506 cents 56:61:67:71:85:89:100:112 SD: 1.7615 cents 66:72:79:84:101:105:118:132 SD: 1.3967 cents 78:85:93:99:119:124:139:156 SD: 0.9644 cents 93:101:111:118:142:148:166:186 SD: 0.9387 cents 99:108:118:126:151:157:177:198 SD: 0.8955 cents 100:109:119:127:153:159:179:200 SD: 0.8579 cents 103:112:123:131:157:164:184:206 SD: 0.8201 cents 114:124:136:145:174:181:204:228 SD: 0.4877 cents 156:170:186:198:238:248:279:312 SD: 0.3913 cents 192:209:229:244:293:305:343:384 SD: 0.3387 cents 203:221:242:258:310:323:363:406 SD: 0.2978 cents 251:273:299:319:383:399:449:502 SD: 0.2970 cents 270:294:322:343:412:429:483:540 SD: 0.1824 cents 407:443:485:517:621:647:728:814 SD: 0.1458 cents 473:515:564:601:722:752:846:946 SD: 0.1007 cents 599:652:714:761:914:952:1071:1198 SD: 0.0992 cents