Scala analysis: xen13-morrison-7-steps-per-11-over-5
7 steps per 11:5
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 195.001 cents 195.000604 2: 390.001 cents 390.001208 3: 585.002 cents 585.001812 4: 780.002 cents 780.002416 5: 975.003 cents 975.003020 6: 1170.004 cents 1170.003624 7: 11/5 1365.004228 neutral ninth
SHOW/INTERVAL
0: 195.0006 cents 195.0006 1: 195.0006 cents 195.0006 2: 195.0006 cents 195.0006 3: 195.0006 cents 195.0006 4: 195.0006 cents 195.0006 5: 195.0006 cents 195.0006 6: 195.0006 cents 195.0006 7: 195.0006 cents 195.0006
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 195.00060 cents 2: 7 390.00121 cents 3: 7 585.00181 cents 4: 7 780.00242 cents 5: 7 975.00302 cents 6: 7 1170.00362 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 195.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 390.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 585.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 780.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 975.0 : 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 1170.0: 195.0 390.0 585.0 780.0 975.0 1170.0 1365.0 1365.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 195.0006 .. 195.0006 cents 1/1, 0.0000 cents 195.00060 cents 2: 390.0012 .. 390.0012 cents 1/1, 0.0000 cents 195.00060 cents 3: 585.0018 .. 585.0018 cents 1/1, 0.0000 cents 195.00060 cents 4: 780.0024 .. 780.0024 cents 1/1, 0.0000 cents 195.00060 cents 5: 975.0030 .. 975.0030 cents 1/1, 0.0000 cents 195.00060 cents 6: 1170.0036 .. 1170.0036 cents 1/1, 0.0000 cents 195.00060 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 195.00060 cents, class 1 Average step (divided formal octave): 195.0006 cents Largest one step interval : 195.00060 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 195.00060 cents, amount: 7 Most common interval of one step : 195.00060 cents, amount: 7 Least squares average step : 195.00060 cents, oct.: 1365.00423 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 195.00060 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.142857 redundancy: 0.857143 Efficiency x scale size : 1.000000 Number of different interval sizes : 6 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties -- Prime limit : 11 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M:-0.0000 c. Lebeng
FIT/HARMONIC
1 x x x x x 2 x S SD: 29.9964 cents 2 x x x 3 x 4 x S SD: 41.8066 cents 3 x x 4 x 5:6:7 S SD: 41.1206 cents 4 x 5 x 6:7:8:9 S SD: 18.5004 cents 5 x 6:7:8:9:10:11 S SD: 16.1453 cents 6:7 x 8:9:11:12:13 SD: 26.8463 cents 7:8:9:10:11:12:14:15 S SD: 13.6513 cents 8:9:10:11:13:14:16:18 SD: 12.2412 cents 9:10:11:13:14:16:18:20 SD: 11.5280 cents 12:13:15:17:19:21:24:26 SD: 10.4980 cents 15:17:19:21:24:26:29:33 SD: 8.2339 cents 16:18:20:22:25:28:31:35 SD: 6.4537 cents 20:22:25:28:31:35:39:44 SD: 5.7178 cents 23:26:29:32:36:40:45:51 SD: 4.8638 cents 24:27:30:34:38:42:47:53 SD: 3.9937 cents 25:28:31:35:39:44:49:55 SD: 3.0590 cents 32:36:40:45:50:56:63:70 SD: 2.5458 cents 35:39:44:49:55:61:69:77 SD: 2.5186 cents 40:45:50:56:63:70:79:88 SD: 2.2411 cents 52:58:65:73:82:91:102:114 SD: 2.0945 cents 58:65:73:81:91:102:114:128 SD: 1.7675 cents 59:66:74:83:93:104:116:130 SD: 1.7423 cents 60:67:75:84:94:105:118:132 SD: 1.2944 cents 67:75:84:94:105:118:132:147 SD: 1.1957 cents 75:84:94:105:118:132:147:165 SD: 1.1773 cents 84:94:105:118:132:148:165:185 SD: 1.1712 cents 90:101:113:126:141:158:177:198 SD: 1.0349 cents 95:106:119:133:149:167:187:209 SD: 0.9454 cents 107:120:134:150:168:188:210:235 SD: 0.7815 cents 119:133:149:167:187:209:234:262 SD: 0.6013 cents 135:151:169:189:212:237:265:297 SD: 0.5799 cents 151:169:189:212:237:265:297:332 SD: 0.4918 cents 174:195:218:244:273:306:342:383 SD: 0.4874 cents 201:225:252:282:315:353:395:442 SD: 0.4373 cents 202:226:253:283:317:355:397:444 SD: 0.3480 cents 209:234:262:293:328:367:411:460 SD: 0.2586 cents 234:262:293:328:367:411:460:515 SD: 0.2208 cents 344:385:431:482:540:604:676:757 SD: 0.2153 cents 353:395:442:495:554:620:694:777 SD: 0.1903 cents 411:460:515:576:645:722:808:904 SD: 0.1547 cents 495:554:620:694:777:869:973:1089 SD: 0.1320 cents 562:629:704:788:882:987:1105:1236 SD: 0.1134 cents