Scala analysis: xen18-erlich-passion-04
1L 3s MOS for Passion, L=903.11, s=98.40
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 98.400 cents 98.400000 2: 1001.510 cents 1001.510000 3: 1099.910 cents 1099.910000 4: 1198.310 cents 1198.310000
SHOW/INTERVAL
0: 98.4000 cents 98.4000 1: 98.4000 cents 98.4000 2: 903.1100 cents 903.1100 3: 98.4000 cents 98.4000 4: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 98.40000 cents 1: 1 903.11000 cents 2: 2 196.80000 cents 2: 2 1001.51000 cents 3: 1 295.20000 cents 3: 3 1099.91000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 98.4 1001.5 1099.9 1198.3 98.4 : 903.1 1001.5 1099.9 1198.3 1001.5: 98.4 196.8 295.2 1198.3 1099.9: 98.4 196.8 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 903.1100 cents 804.71000 cents 98.40000 cents 2: 196.8000 .. 1001.5100 cents 804.71000 cents -706.31000 cents 3: 295.2000 .. 1099.9100 cents 804.71000 cents -706.31000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 299.5775 cents Largest one step interval : 903.11000 cents Average / Smallest step : 3.044487 Largest / Average step : 3.014612 Largest / Smallest step : 9.177947 Median interval of one step : 98.40000 cents, amount: 3 Most common interval of one step : 98.40000 cents, amount: 3 Least squares average step : 339.81300 cents, oct.: 1359.25200 cents Scale is not proper Scale has Myhill's property chromas: 804.71000 cents and 706.31000 cents, ratio: 1.139316 generators: 1 of 98.40000 cents and 3 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 548-tone equal temperament with octave 1198.310 cents degrees: 45 458 503 548 generators: 45 and 503 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 98.40000 cents Scale diversity : 0.874306 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 98.40000 cents Most common intervals : 98.40000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 98.400 1099.910 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 0 3 0 1 N D3 SD: 123.2053 c. M: 201.1775 c. 5: 0 4 0 1 N D3 SD: 88.7055 c. M: 141.2620 c. 6: 0 5 0 1 N D3 SD: 70.6337 c. M: 101.3183 c. 7: 1 5 0 1 N G SD: 53.0376 c. M: 72.7871 c. 9: 0 7 1 1 N G SD: 62.6874 c. M: 98.4000 c. 10: 1 7 1 1 N M DE SD: 26.2475 c. M: 42.8620 c. 11: 1 8 1 1 N M DE SD: 12.9055 c. M: 21.0745 c. 12: 1 9 1 1 N M DE SD: 1.7871 c. M: 2.9183 c. 37: 3 28 3 3 N M DE SD: 1.5184 c. M:-2.4795 c. 49: 4 37 4 4 N M DE SD: 0.7089 c. M:-1.1576 c. 61: 5 46 5 5 N M DE SD: 0.2178 c. M:-0.3557 c. 73: 6 55 6 6 N M DE SD: 0.1117 c. M: 0.1825 c. 134: 11 101 11 11 N M DE SD: 0.0383 c. M:-0.0625 c. 207: 17 156 17 17 N M DE SD: 0.0146 c. M: 0.0239 c. 341: 28 257 28 28 N M DE SD: 0.0062 c. M:-0.0101 c. 548: 45 413 45 45 N M DE SD: 0.0017 c. M: 0.0027 c. 889: 73 670 73 73 N M DE SD: 0.0013 c. M:-0.0022 c. 1437: 118 1083 118 118 N M DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x 2 S SD: 1.6900 cents 2 x x x 4 S SD: 1.6900 cents 3:4:5 x 6 S SD: 138.8218 cents 4:5:7 x 8 SD: 96.5893 cents 5:6:9 x 10 S SD: 72.6142 cents 6:7:11 x 12 SD: 58.3811 cents 7:8:12:13:14 S SD: 37.9996 cents 8:9:14:15:16 SD: 27.7702 cents 9:10:16:17:18 SD: 21.0508 cents 10:11:18:19:20 SD: 17.3659 cents 11:12:20:21:22 SD: 16.2696 cents 12:13:21:23:24 SD: 14.5396 cents 13:14:23:25:26 SD: 11.5173 cents 14:15:25:26:28 SD: 8.8268 cents 15:16:27:28:30 SD: 7.1321 cents 17:18:30:32:34 SD: 4.7299 cents 18:19:32:34:36 SD: 1.8797 cents 51:54:91:96:102 SD: 1.3159 cents 69:73:123:130:138 SD: 0.9669 cents 87:92:155:164:174 SD: 0.9399 cents 88:93:157:166:176 SD: 0.8733 cents 134:142:239:253:268 SD: 0.6617 cents 152:161:271:287:304 SD: 0.5408 cents 170:180:303:321:340 SD: 0.5240 cents 171:181:305:323:342 SD: 0.5133 cents 204:216:364:385:408 SD: 0.5103 cents 221:234:394:417:442 SD: 0.4967 cents 222:235:396:419:444 SD: 0.4405 cents 240:254:428:453:480 SD: 0.4284 cents 291:308:519:549:581 SD: 0.4049 cents 309:327:551:583:617 SD: 0.3645 cents 323:342:576:610:645 SD: 0.3508 cents 328:347:585:619:655 SD: 0.3485 cents 341:361:608:644:681 SD: 0.3182 cents 356:377:635:672:711 SD: 0.2907 cents 374:396:667:706:747 SD: 0.2101 cents 392:415:699:740:783 SD: 0.1598 cents 410:434:731:774:819 SD: 0.1534 cents 411:435:733:776:821 SD: 0.1499 cents 444:470:792:838:887 SD: 0.1406 cents 461:488:822:870:921 SD: 0.1355 cents 462:489:824:872:923 SD: 0.0833 cents 480:508:856:906:959 SD: 0.0764 cents