Scala analysis: jubilee10asym1
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 102.920 cents 102.920000 2: 205.840 cents 205.840000 3: 380.630 cents 380.630000 4: 483.550 cents 483.550000 5: 586.470 cents 586.470000 6: 702.590 cents 702.590000 7: 805.510 cents 805.510000 8: 980.300 cents 980.300000 9: 1083.220 cents 1083.220000 10: 1199.340 cents 1199.340000
SHOW/INTERVAL
0: 116.1200 cents 116.1200 1: 102.9200 cents 102.9200 2: 102.9200 cents 102.9200 3: 174.7900 cents 174.7900 4: 102.9200 cents 102.9200 5: 102.9200 cents 102.9200 6: 116.1200 cents 116.1200 7: 102.9200 cents 102.9200 8: 174.7900 cents 174.7900 9: 102.9200 cents 102.9200 10: 116.1200 cents 116.1200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 102.92000 cents 1: 2 116.12000 cents 1: 2 174.79000 cents 2: 2 205.84000 cents 2: 4 219.04000 cents 2: 4 277.71000 cents 3: 4 321.96000 cents 3: 4 380.63000 cents 3: 2 393.83000 cents 4: 2 424.88000 cents 4: 2 483.55000 cents 4: 6 496.75000 cents 5: 1 586.47000 cents 5: 8 599.67000 cents 5: 1 612.87000 cents 6: 6 702.59000 cents 6: 2 715.79000 cents 6: 2 774.46000 cents 7: 2 805.51000 cents 7: 4 818.71000 cents 7: 4 877.38000 cents 8: 4 921.63000 cents 8: 4 980.30000 cents 8: 2 993.50000 cents 9: 2 1024.55000 cents 9: 2 1083.22000 cents 9: 6 1096.42000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 102.9 205.8 380.6 483.6 586.5 702.6 805.5 980.3 1083.2 1199.3 102.9 : 102.9 277.7 380.6 483.5 599.7 702.6 877.4 980.3 1096.4 1199.3 205.8 : 174.8 277.7 380.6 496.7 599.7 774.5 877.4 993.5 1096.4 1199.3 380.6 : 102.9 205.8 322.0 424.9 599.7 702.6 818.7 921.6 1024.5 1199.3 483.6 : 102.9 219.0 322.0 496.7 599.7 715.8 818.7 921.6 1096.4 1199.3 586.5 : 116.1 219.0 393.8 496.8 612.9 715.8 818.7 993.5 1096.4 1199.3 702.6 : 102.9 277.7 380.6 496.7 599.7 702.6 877.4 980.3 1083.2 1199.3 805.5 : 174.8 277.7 393.8 496.8 599.7 774.5 877.4 980.3 1096.4 1199.3 980.3 : 102.9 219.0 322.0 424.9 599.7 702.6 805.5 921.6 1024.5 1199.3 1083.2: 116.1 219.0 322.0 496.7 599.7 702.6 818.7 921.6 1096.4 1199.3 1199.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.9200 .. 174.7900 cents 71.87000 cents 102.92000 cents 2: 205.8400 .. 277.7100 cents 71.87000 cents 31.05000 cents 3: 321.9600 .. 393.8300 cents 71.87000 cents 44.25000 cents 4: 424.8800 .. 496.7500 cents 71.87000 cents 31.05000 cents 5: 586.4700 .. 612.8700 cents 26.40000 cents 89.72000 cents 6: 702.5900 .. 774.4600 cents 71.87000 cents 89.72000 cents 7: 805.5100 .. 877.3800 cents 71.87000 cents 31.05000 cents 8: 921.6300 .. 993.5000 cents 71.87000 cents 44.25000 cents 9: 1024.5500 .. 1096.4200 cents 71.87000 cents 31.05000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 102.92000 cents, class 1 Average step (divided formal octave): 119.9340 cents Largest one step interval : 174.79000 cents Average / Smallest step : 1.165313 Largest / Average step : 1.457385 Largest / Smallest step : 1.698309 Median interval of one step : 102.92000 cents, amount: 6 Most common interval of one step : 102.92000 cents, amount: 6 Least squares average step : 119.38164 cents, oct.: 1193.81636 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: AABAACABAC Step pattern size order : SSLSSMSLSM Scale is a Constant Structure, by a margin of 31.05000 cents Scale diversity : 1.287473 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.498591 Rothenberg efficiency : 0.478413 redundancy: 0.521587 Efficiency x scale size : 4.784127 Number of different interval sizes : 27 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 13.20000 cents Most common intervals : 599.67000 cents & inv., amount: 8 Number of recognisable fifths : 8, average 705.8900 cents Number of appreciable fifths : 6, average 702.5900 cents Number of recognisable fourths : 8, average 493.4500 cents Number of appreciable fourths : 6, average 496.7500 cents Formal octave complements present : 1 = 10.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 19.9141 c. M:-34.0280 c. 12: 1 1 2 1 1 1 1 2 1 1 P B ME I SD: 12.3266 c. M:-19.1500 c. Symmetrical Decatonic 22: 2 2 3 2 2 2 2 3 2 2 SP B ME I SD: 8.0629 c. M:-13.2000 c. Static Symmetrical Major 34: 3 3 5 3 3 3 3 5 3 3 SP B DE I SD: 7.6149 c. M:-13.2000 c. 39: 3 4 5 4 3 4 3 6 3 4 SP SD: 7.3024 c. M: 11.6023 c. 43: 4 3 7 3 4 4 4 6 4 4 P SD: 6.7061 c. M: 10.5986 c. 45: 4 4 6 4 4 4 4 7 4 4 SP D3 SD: 6.2573 c. M: 9.6380 c. 48: 4 4 7 4 4 5 4 7 4 5 SP T3 SD: 6.7143 c. M: 11.7863 c. 49: 4 4 8 4 4 5 4 7 4 5 P SD: 6.1726 c. M:-10.9912 c. 51: 4 5 7 5 4 5 4 8 4 5 SP SD: 5.8300 c. M:-10.2959 c. 54: 5 4 8 5 4 6 4 8 5 5 SP SD: 5.9524 c. M: 9.0100 c. 55: 5 4 8 5 5 5 5 8 5 5 SP SD: 5.6872 c. M: 9.9249 c. 57: 5 5 8 5 5 5 5 9 4 6 SP SD: 5.6325 c. M: 10.1263 c. 58: 5 5 8 5 5 6 5 8 5 6 SP T3 SD: 5.7129 c. M: 8.4210 c. 59: 5 5 9 5 5 6 5 8 5 6 SP SD: 5.0904 c. M:-8.8829 c. 60: 5 5 9 5 5 6 5 9 5 6 SP T3 SD: 4.0632 c. M: 6.7890 c. 70: 6 6 10 6 6 7 6 10 6 7 SP T3 SD: 2.6834 c. M: 3.9334 c. 82: 7 7 12 7 7 8 7 12 7 8 SP T3 SD: 0.8214 c. M: 1.4261 c. 176: 15 15 26 15 15 17 15 26 15 17 SP T3 SD: 0.8484 c. M: 1.4070 c. 186: 16 16 27 16 16 18 16 27 16 18 SP T3 SD: 0.2818 c. M:-0.4981 c. 268: 23 23 39 23 23 26 23 39 23 26 SP T3 SD: 0.1668 c. M: 0.2423 c. 454: 39 39 66 39 39 44 39 66 39 44 SP T3 SD: 0.1550 c. M: 0.2226 c. 548: 47 47 80 47 47 53 47 80 47 53 SP T3 SD: 0.1162 c. M:-0.1823 c. 734: 63 63 107 63 63 71 63 107 63 71 SP T3 SD: 0.0768 c. M:-0.1282 c. 816: 70 70 119 70 70 79 70 119 70 79 SP T3 SD: 0.0414 c. M: 0.0709 c. 1002: 86 86 146 86 86 97 86 146 86 97 SP T3 SD: 0.0216 c. M:-0.0347 c. 1818: 156 156 265 156 156 176 156 265 156 176 SP T3 SD: 0.0120 c. M:-0.0186 c. 2086: 179 179 304 179 179 202 179 304 179 202 SP T3 SD: 0.0140 c. M: 0.0238 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.6600 cents 2 x x x x x 3 x x x 4 S SD: 0.4579 cents 3 x x x 4 x x 5 x x 6 S SD: 26.7242 cents 4 x x 5 x x 6 x 7 x 8 S SD: 3.2093 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 15.0964 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 17.7162 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 11.8157 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 6.4419 cents 9 x 10:11:12:13 x 14:16:17:18 S SD: 10.1498 cents 10 x 11:12:13:14:15:16:18:19:20 S SD: 10.5461 cents 11:12 x 14 x 15:17:18:19:21:22 SD: 14.4637 cents 12:13:14:15:16:17:18:19:21:22:24 SD: 8.3002 cents 13:14:15:16:17:18:20:21:23:24:26 SD: 8.2189 cents 15:16:17:19:20:21:23:24:26:28:30 SD: 5.9165 cents 16:17:18:20:21:22:24:25:28:30:32 SD: 5.1751 cents 22:23:25:27:29:31:33:35:39:41:44 SD: 4.2731 cents 24:25:27:30:32:34:36:38:42:45:48 SD: 4.2618 cents 25:27:28:31:33:35:38:40:44:47:50 SD: 4.2001 cents 28:30:32:35:37:39:42:45:49:52:56 SD: 4.0373 cents 29:31:33:36:38:41:44:46:51:54:58 SD: 3.7408 cents 30:32:34:37:40:42:45:48:53:56:60 SD: 2.8781 cents 32:34:36:40:42:45:48:51:56:60:64 SD: 1.9423 cents 49:52:55:61:65:69:74:78:86:92:98 SD: 1.8049 cents 54:57:61:67:71:76:81:86:95:101:108 SD: 1.7131 cents 62:66:70:77:82:87:93:99:109:116:124 SD: 1.0679 cents 84:89:95:105:111:118:126:134:148:157:168 SD: 1.0351 cents 94:100:106:117:124:132:141:150:166:176:188 SD: 0.9016 cents 96:102:108:120:127:135:144:153:169:179:192 SD: 0.8970 cents 102:108:115:127:135:143:153:162:180:191:204 SD: 0.8031 cents 114:121:128:142:151:160:171:182:201:213:228 SD: 0.7826 cents 118:125:133:147:156:166:177:188:208:221:236 SD: 0.6587 cents 130:138:146:162:172:182:195:207:229:243:260 SD: 0.6493 cents 134:142:151:167:177:188:201:213:236:251:268 SD: 0.5720 cents 159:169:179:198:210:223:239:253:280:297:318 SD: 0.5168 cents 164:174:185:204:217:230:246:261:289:307:328 SD: 0.5028 cents 176:187:198:219:233:247:264:280:310:329:352 SD: 0.4608 cents 184:195:207:229:243:258:276:293:324:344:368 SD: 0.4491 cents 196:208:221:244:259:275:294:312:345:366:392 SD: 0.3798 cents 198:210:223:247:262:278:297:315:349:370:396 SD: 0.3737 cents 214:227:241:267:283:300:321:341:377:400:428 SD: 0.3406 cents 245:260:276:305:324:344:368:390:432:458:490 SD: 0.3135 cents 248:263:279:309:328:348:372:395:437:464:496 SD: 0.2901 cents 260:276:293:324:344:365:390:414:458:486:520 SD: 0.2061 cents 390:414:439:486:516:547:585:621:687:729:780 SD: 0.2020 cents 407:432:458:507:538:571:611:648:717:761:814 SD: 0.1953 cents 444:471:500:553:587:623:666:707:782:830:888 SD: 0.1391 cents 491:521:553:612:649:689:737:782:865:918:982 SD: 0.1310 cents