Scala analysis: Central_African_Republic_Rafai
Rafai (Xylophone), Central African Republic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 221.000 cents 221.000000 2: 373.000 cents 373.000000 3: 650.000 cents 650.000000 4: 870.000 cents 870.000000 5: 1139.000 cents 1139.000000 6: 1418.000 cents 1418.000000 7: 1567.000 cents 1567.000000 8: 1907.000 cents 1907.000000 9: 2112.000 cents 2112.000000 10: 2369.000 cents 2369.000000
SHOW/INTERVAL
0: 257.0000 cents 257.0000 1: 221.0000 cents 221.0000 2: 152.0000 cents 152.0000 3: 277.0000 cents 277.0000 4: 220.0000 cents 220.0000 5: 269.0000 cents 269.0000 6: 279.0000 cents 279.0000 7: 149.0000 cents 149.0000 8: 340.0000 cents 340.0000 9: 205.0000 cents 205.0000 10: 257.0000 cents 257.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 149.00000 cents 1: 1 152.00000 cents 1: 1 205.00000 cents 1: 1 220.00000 cents 1: 1 221.00000 cents 1: 1 257.00000 cents 1: 1 269.00000 cents 1: 1 277.00000 cents 1: 1 279.00000 cents 1: 1 340.00000 cents 2: 1 373.00000 cents 2: 1 428.00000 cents 2: 1 429.00000 cents 2: 1 462.00000 cents 2: 1 478.00000 cents 2: 2 489.00000 cents 2: 1 497.00000 cents 2: 1 545.00000 cents 2: 1 548.00000 cents 3: 1 630.00000 cents 3: 1 649.00000 cents 3: 1 650.00000 cents 3: 1 683.00000 cents 3: 1 694.00000 cents 3: 1 697.00000 cents 3: 1 766.00000 cents 3: 2 768.00000 cents 3: 1 802.00000 cents 4: 1 835.00000 cents 4: 1 870.00000 cents 4: 1 907.00000 cents 4: 1 917.00000 cents 4: 1 918.00000 cents 4: 1 951.00000 cents 4: 1 973.00000 cents 4: 1 1023.00000 cents 4: 1 1037.00000 cents 4: 1 1045.00000 cents 5: 1 1112.00000 cents 5: 1 1127.00000 cents 5: 1 1139.00000 cents 5: 1 1172.00000 cents 5: 1 1175.00000 cents 5: 1 1194.00000 cents 5: 1 1197.00000 cents 5: 1 1230.00000 cents 5: 1 1242.00000 cents 5: 1 1257.00000 cents 6: 1 1324.00000 cents 6: 1 1332.00000 cents 6: 1 1346.00000 cents 6: 1 1396.00000 cents 6: 1 1418.00000 cents 6: 1 1451.00000 cents 6: 1 1452.00000 cents 6: 1 1462.00000 cents 6: 1 1499.00000 cents 6: 1 1534.00000 cents 7: 1 1567.00000 cents 7: 2 1601.00000 cents 7: 1 1603.00000 cents 7: 1 1672.00000 cents 7: 1 1675.00000 cents 7: 1 1686.00000 cents 7: 1 1719.00000 cents 7: 1 1720.00000 cents 7: 1 1739.00000 cents 8: 1 1821.00000 cents 8: 1 1824.00000 cents 8: 1 1872.00000 cents 8: 2 1880.00000 cents 8: 1 1891.00000 cents 8: 1 1907.00000 cents 8: 1 1940.00000 cents 8: 1 1941.00000 cents 8: 1 1996.00000 cents 9: 1 2029.00000 cents 9: 1 2090.00000 cents 9: 1 2092.00000 cents 9: 1 2100.00000 cents 9: 1 2112.00000 cents 9: 1 2148.00000 cents 9: 1 2149.00000 cents 9: 1 2164.00000 cents 9: 1 2217.00000 cents 9: 1 2220.00000 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 9.55556 = 86/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 221.0 373.0 650.0 870.0 1139.0 1418.0 1567.0 1907.0 2112.0 2369.0 221.0 : 152.0 429.0 649.0 918.0 1197.0 1346.0 1686.0 1891.0 2148.0 2369.0 373.0 : 277.0 497.0 766.0 1045.0 1194.0 1534.0 1739.0 1996.0 2217.0 2369.0 650.0 : 220.0 489.0 768.0 917.0 1257.0 1462.0 1719.0 1940.0 2092.0 2369.0 870.0 : 269.0 548.0 697.0 1037.0 1242.0 1499.0 1720.0 1872.0 2149.0 2369.0 1139.0: 279.0 428.0 768.0 973.0 1230.0 1451.0 1603.0 1880.0 2100.0 2369.0 1418.0: 149.0 489.0 694.0 951.0 1172.0 1324.0 1601.0 1821.0 2090.0 2369.0 1567.0: 340.0 545.0 802.0 1023.0 1175.0 1452.0 1672.0 1941.0 2220.0 2369.0 1907.0: 205.0 462.0 683.0 835.0 1112.0 1332.0 1601.0 1880.0 2029.0 2369.0 2112.0: 257.0 478.0 630.0 907.0 1127.0 1396.0 1675.0 1824.0 2164.0 2369.0 2369.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 149.0000 .. 340.0000 cents 191.00000 cents 149.00000 cents 2: 373.0000 .. 548.0000 cents 175.00000 cents 33.00000 cents 3: 630.0000 .. 802.0000 cents 172.00000 cents 82.00000 cents 4: 835.0000 .. 1045.0000 cents 210.00000 cents 33.00000 cents 5: 1112.0000 .. 1257.0000 cents 145.00000 cents 67.00000 cents 6: 1324.0000 .. 1534.0000 cents 210.00000 cents 67.00000 cents 7: 1567.0000 .. 1739.0000 cents 172.00000 cents 33.00000 cents 8: 1821.0000 .. 1996.0000 cents 175.00000 cents 82.00000 cents 9: 2029.0000 .. 2220.0000 cents 191.00000 cents 33.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 149.00000 cents, class 1 Average step (divided formal octave): 236.9000 cents Largest one step interval : 340.00000 cents Average / Smallest step : 1.589933 Largest / Average step : 1.435205 Largest / Smallest step : 2.281879 Median interval of one step : 239.00000 cents, amount: 0 Least squares average step : 232.52727 cents, oct.: 2325.27273 cents Scale is strictly proper Scale is a mode of a 2369-tone equal temperament with octave 2369.000 cents degrees: 221 373 650 870 1139 1418 1567 1907 2112 2369 Least number of segments generator : 1185 of 1185.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 2272 of 2272.000 cents and inv. generated superset size: 766 = 756 more = 7660.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHIJ Step pattern size order : EBHDGIAJCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 33.00000 cents Scale diversity :-0.039568 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.307303 Rothenberg efficiency : 0.208889 redundancy: 0.791111 Efficiency x scale size : 2.088889 Number of different interval sizes : 86 = 9.55556 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 9.55556 = 86/9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 2, average 695.5000 cents Number of recognisable fourths : 3, average 491.6667 cents Best fifths form a closed circle Formal octave complements present : 1 = 10.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 55.7498 c. M:-100.8000 c. 11: 1 1 1 1 1 2 0 2 1 1 P D3 SD: 46.4585 c. M:-89.5455 c. 12: 1 1 1 1 2 1 1 2 1 1 N D3 S SD: 47.3363 c. M: 80.3333 c. 15: 1 1 2 1 2 2 1 2 1 2 P D3 SD: 43.4936 c. M: 80.3333 c. 18: 2 1 2 2 2 2 1 3 1 2 P D3 SD: 35.5099 c. M:-67.1667 c. 19: 2 1 2 2 2 2 1 3 2 2 P D3 SD: 32.2220 c. M: 70.7895 c. 20: 2 1 2 2 3 2 1 3 2 2 P T3 SD: 29.8836 c. M: 57.7500 c. 21: 2 1 3 2 2 3 1 3 2 2 P SD: 25.9204 c. M:-48.5238 c. 25: 2 2 3 2 3 3 1 4 2 3 P SD: 22.3217 c. M: 50.8400 c. 27: 3 1 3 3 3 3 2 4 2 3 P SD: 21.3126 c. M:-42.2222 c. 29: 3 2 3 3 3 3 2 4 3 3 SP D3 SD: 21.6799 c. M:-35.4483 c. 30: 3 2 3 3 3 4 2 4 3 3 SP T3 SD: 17.0058 c. M: 33.4667 c. 33: 3 2 4 3 4 4 2 5 2 4 P SD: 16.6271 c. M:-31.2727 c. 36: 3 3 4 3 4 5 2 5 3 4 SP SD: 16.7249 c. M:-29.7222 c. 38: 4 2 4 4 4 5 2 6 3 4 P SD: 16.8546 c. M:-28.3684 c. 40: 4 2 5 4 4 5 2 6 4 4 P SD: 15.4417 c. M: 27.1500 c. 44: 4 3 5 4 5 5 3 6 4 5 SP SD: 11.0610 c. M: 22.5682 c. 50: 5 3 6 4 6 6 3 7 5 5 SP SD: 11.5390 c. M:-20.1000 c. 52: 5 3 6 5 6 6 3 8 4 6 P SD: 9.7647 c. M: 18.0385 c. 57: 5 4 7 5 6 7 4 8 5 6 SP SD: 9.7408 c. M: 16.8421 c. 58: 5 4 7 5 7 7 3 9 5 6 P SD: 10.7444 c. M: 16.7759 c. 62: 6 4 7 6 7 7 4 9 5 7 SP SD: 6.4961 c. M: 10.4677 c. 65: 6 4 8 6 7 8 4 9 6 7 SP SD: 6.1259 c. M: 11.8000 c. 77: 7 5 9 7 9 9 5 11 7 8 SP SD: 5.1506 c. M:-10.8701 c. 95: 9 6 11 9 11 11 6 14 8 10 SP SD: 5.8943 c. M:-13.1368 c. 98: 9 6 12 9 11 12 6 14 8 11 SP SD: 5.5504 c. M: 10.3980 c. 107: 10 7 12 10 12 13 7 15 9 12 SP SD: 5.6913 c. M: 9.8505 c. 108: 10 7 13 10 12 13 6 16 9 12 SP SD: 5.6440 c. M: 9.6019 c. 109: 10 7 13 10 12 13 7 16 9 12 SP SD: 4.3213 c. M: 8.8349 c. 114: 11 7 13 11 13 13 7 17 10 12 SP SD: 5.4093 c. M: 8.4474 c. 117: 11 7 14 11 13 14 7 17 10 13 SP SD: 4.7147 c. M: 8.5385 c. 119: 11 8 14 11 13 14 8 17 10 13 SP SD: 4.5478 c. M:-6.9496 c. 120: 11 8 14 11 14 14 7 18 10 13 SP SD: 4.3476 c. M:-7.9417 c. 127: 12 8 15 12 14 15 8 18 11 14 SP SD: 3.1449 c. M:-6.7165 c. 139: 13 9 16 13 16 16 9 20 12 15 SP SD: 1.9105 c. M: 3.4173 c. 204: 19 13 24 19 23 24 13 29 18 22 SP SD: 1.2108 c. M: 2.5098 c. 324: 30 21 38 30 37 38 20 47 28 35 SP SD: 1.2023 c. M: 2.2901 c. 343: 32 22 40 32 39 40 22 49 30 37 SP SD: 0.9426 c. M: 2.1254 c. 376: 35 24 44 35 43 44 24 54 32 41 SP SD: 1.2107 c. M:-2.0612 c. 389: 36 25 46 36 44 46 24 56 34 42 SP SD: 1.2433 c. M: 1.8766 c. 416: 39 26 49 39 47 49 26 60 36 45 SP SD: 1.1655 c. M: 2.8437 c. 426: 40 27 50 40 48 50 27 61 37 46 SP SD: 1.2752 c. M:-3.0822 c. 431: 40 28 50 40 49 51 27 62 37 47 SP SD: 0.9943 c. M: 1.5499 c. 441: 41 28 52 41 50 52 28 63 38 48 SP SD: 0.9701 c. M: 2.3401 c. 491: 46 31 58 45 56 58 31 70 43 53 SP SD: 1.0883 c. M: 1.5275 c. 493: 46 32 57 46 56 58 31 71 43 53 SP SD: 1.0639 c. M:-2.3205 c. 496: 46 32 58 46 56 59 31 71 43 54 SP SD: 1.0334 c. M: 2.2621 c. 503: 47 32 59 47 57 59 32 72 43 55 SP SD: 0.9773 c. M: 2.0358 c. 514: 48 33 60 48 58 61 32 74 44 56 SP SD: 0.8108 c. M:-1.5564 c. 528: 49 34 62 49 60 62 33 76 46 57 SP SD: 0.7416 c. M:-1.2557 c. 553: 52 35 65 51 63 65 35 79 48 60 SP SD: 0.7875 c. M:-1.7631 c. 558: 52 36 65 52 63 66 35 80 48 61 SP SD: 0.8254 c. M: 1.9767 c. 580: 54 37 68 54 66 68 37 83 50 63 SP SD: 0.7360 c. M:-1.4414 c. 590: 55 38 69 55 67 69 37 85 51 64 SP SD: 0.7388 c. M:-1.3322 c. 591: 55 38 69 55 67 70 37 85 51 64 SP SD: 0.5883 c. M:-1.0271 c. 635: 59 41 74 59 72 75 40 91 55 69 SP SD: 0.6351 c. M: 1.1339 c. 653: 61 42 76 61 74 77 41 94 56 71 SP SD: 0.6033 c. M:-1.2603 c. 718: 67 46 84 67 81 85 45 103 62 78 SP SD: 0.4884 c. M:-1.0529 c. 795: 74 51 93 74 90 94 50 114 69 86 SP SD: 0.4517 c. M:-0.7308 c. 857: 80 55 100 80 97 101 54 123 74 93 SP SD: 0.3248 c. M:-0.7526 c. 996: 93 64 116 93 113 117 63 143 86 108 SP SD: 0.4177 c. M: 0.6657 c. 1061: 99 68 124 99 120 125 67 152 92 115 SP SD: 0.3289 c. M:-0.7917 c. 1144: 107 73 134 106 130 135 72 164 99 124 SP SD: 0.3501 c. M:-0.5988 c. 1188: 111 76 139 110 135 140 75 170 103 129 SP SD: 0.3497 c. M: 0.6330 c. 1225: 114 79 143 114 139 144 77 176 106 133 SP SD: 0.3269 c. M: 0.5592 c. 1308: 122 84 153 121 149 154 82 188 113 142 SP SD: 0.2668 c. M: 0.6422 c. 1373: 128 88 161 127 156 162 86 197 119 149 SP SD: 0.3030 c. M:-0.4829 c. 1385: 129 89 162 129 157 163 87 199 120 150 SP SD: 0.2865 c. M:-0.6289 c. 1435: 134 92 168 133 163 169 90 206 124 156 SP SD: 0.2691 c. M: 0.5359 c. 1468: 137 94 172 136 167 173 92 211 127 159 SP SD: 0.3067 c. M:-0.4952 c. 1492: 139 96 174 139 169 176 94 214 129 162 SP SD: 0.2917 c. M: 0.5891 c. 1512: 141 97 177 140 172 178 95 217 131 164 SP SD: 0.1841 c. M: 0.4266 c. 1574: 147 101 184 146 179 185 99 226 136 171 SP SD: 0.2281 c. M: 0.3691 c. 1651: 154 106 193 153 188 194 104 237 143 179 SP SD: 0.2124 c. M: 0.4579 c. 1734: 162 111 203 161 197 204 109 249 150 188 SP SD: 0.2326 c. M:-0.4152 c. 1778: 166 114 208 165 202 209 112 255 154 193 SP SD: 0.1956 c. M: 0.3414 c. 2026: 189 130 237 188 230 239 127 291 175 220 SP SD: 0.1596 c. M:-0.3598 c. 2165: 202 139 253 201 246 255 136 311 187 235 SP SD: 0.1141 c. M:-0.2365 c. 2230: 208 143 261 207 253 263 140 320 193 242 SP SD: 0.1191 c. M:-0.2130 c. 2369: 221 152 277 220 269 279 149 340 205 257 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x 3 x 4 S SD: 22.8703 cents 2 x x 3 x 4 x 5:6:7:8 S SD: 17.4873 cents 3 x 4 x 5:6:7 x 9:10:12 SD: 21.9936 cents 4 x 5:6:7:8:9:10:12:14:16 S SD: 16.1594 cents 5 x 6:7:8:10:11:12:15:17:20 SD: 16.1832 cents 6:7 x 9:10:12:14:15:18:20:24 SD: 12.7862 cents 7:8:9:10:12:14:16:17:21:24:28 SD: 12.3615 cents 8:9:10:12:13:15:18:20:24:27:31 SD: 8.8430 cents 9:10:11:13:15:17:20:22:27:30:35 SD: 8.2016 cents 12:14:15:17:20:23:27:30:36:41:47 SD: 7.5579 cents 13:15:16:19:21:25:29:32:39:44:51 SD: 5.9185 cents 14:16:17:20:23:27:32:35:42:47:55 SD: 5.8668 cents 15:17:19:22:25:29:34:37:45:51:59 SD: 4.2478 cents 20:23:25:29:33:39:45:49:60:68:79 SD: 3.9553 cents 22:25:27:32:36:42:50:54:66:75:86 SD: 3.7721 cents 24:27:30:35:40:46:54:59:72:81:94 SD: 3.5121 cents 26:30:32:38:43:50:59:64:78:88:102 SD: 3.2959 cents 28:32:35:41:46:54:64:69:84:95:110 SD: 2.7205 cents 29:33:36:42:48:56:66:72:87:98:114 SD: 1.4832 cents 46:52:57:67:76:89:104:114:138:156:181 SD: 1.3484 cents 57:65:71:83:94:110:129:141:171:193:224 SD: 1.2345 cents 59:67:73:86:98:114:134:146:178:200:232 SD: 1.1510 cents 66:75:82:96:109:127:150:163:199:224:259 SD: 0.9524 cents 72:82:89:105:119:139:163:178:217:244:283 SD: 0.9259 cents 74:84:92:108:122:143:168:183:223:251:291 SD: 0.8878 cents 75:85:93:109:124:145:170:185:226:254:295 SD: 0.7734 cents 87:99:108:127:144:168:197:215:262:295:342 SD: 0.7461 cents 96:109:119:140:159:185:218:237:289:325:377 SD: 0.6913 cents 101:115:125:147:167:195:229:250:304:342:397 SD: 0.5987 cents 103:117:128:150:170:199:234:255:310:349:405 SD: 0.5840 cents 112:127:139:163:185:216:254:277:337:379:440 SD: 0.4564 cents 116:132:144:169:192:224:263:287:349:393:456 SD: 0.4524 cents 167:190:207:243:276:322:379:413:502:566:656 SD: 0.4269 cents 171:194:212:249:283:330:388:423:514:579:672 SD: 0.4168 cents 175:199:217:255:289:338:397:433:527:593:688 SD: 0.3827 cents 176:200:218:256:291:340:399:435:530:596:692 SD: 0.3795 cents 184:209:228:268:304:355:417:455:554:623:723 SD: 0.3348 cents 191:217:237:278:316:369:433:472:575:647:750 SD: 0.2799 cents 213:242:264:310:352:411:483:527:641:721:837 SD: 0.2573 cents 228:259:283:332:377:440:517:564:686:772:896 SD: 0.2142 cents 250:284:310:364:413:483:567:618:752:847:982 SD: 0.1869 cents 279:317:346:406:461:539:633:690:839:945:1096 SD: 0.1804 cents 316:359:392:460:522:610:717:781:951:1070:1242 SD: 0.1578 cents 366:416:454:533:605:707:830:905:1101:1240:1438 SD: 0.1559 cents 375:426:465:546:620:724:851:927:1128:1270:1473 SD: 0.1327 cents 432:491:536:629:714:834:980:1068:1300:1463:1697 SD: 0.1041 cents 478:543:593:696:790:923:1084:1182:1438:1619:1878 SD: 0.0919 cents 507:576:629:738:838:979:1150:1253:1525:1717:1992 SD: 0.0894 cents 536:609:665:780:886:1035:1216:1325:1613:1815:2106 SD: 0.0879 cents