Scala analysis: breedhf
Breed with a half-fifth period
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.227 cents 84.226790 2: 168.454 cents 168.453590 3: 266.751 cents 266.750710 4: 350.977 cents 350.977500
SHOW/INTERVAL
0: 84.2268 cents 84.2268 1: 84.2268 cents 84.2268 2: 84.2268 cents 84.2268 3: 98.2971 cents 98.2971 4: 84.2268 cents 84.2268
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 84.22679 cents 1: 1 98.29712 cents 2: 2 168.45359 cents 2: 2 182.52392 cents 3: 1 252.68038 cents 3: 3 266.75071 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 : 84.2 168.5 266.8 351.0 84.2 : 84.2 182.5 266.8 351.0 168.5: 98.3 182.5 266.8 351.0 266.8: 84.2 168.5 252.7 351.0 351.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 84.2268 .. 98.2971 cents 14.07033 cents 84.22679 cents 2: 168.4536 .. 182.5239 cents 14.07033 cents 70.15647 cents 3: 252.6804 .. 266.7507 cents 14.07033 cents 70.15646 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 84.22679 cents, class 1 Average step (divided formal octave): 87.7444 cents Largest one step interval : 98.29712 cents Average / Smallest step : 1.041763 Largest / Average step : 1.120267 Largest / Smallest step : 1.167053 Median interval of one step : 84.22679 cents, amount: 3 Most common interval of one step : 84.22679 cents, amount: 3 Least squares average step : 87.50987 cents, oct.: 350.03948 cents Scale is strictly proper Scale has Myhill's property chromas: 14.07033 cents and 70.15646 cents, ratio: 4.986128 generators: 1 of 84.22679 cents and 3 of 266.75071 cents ET pair of linear temperament : 63&75 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1321-tone equal temperament with octave 350.977 cents degrees: 317 634 1004 1321 generators: 317 and 1004 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABA Step pattern size order : SSLS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 70.15646 cents Scale diversity : 0.735132 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.879733 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 : 14.07033 cents Most common intervals : 84.22679 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 84.227 266.751 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 transpositions with margin 14.0703 cents: 1 2 3 Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 2-3 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 4.3081 c. M:-7.0352 c. 13: 3 3 4 3 SP M ME SD: 3.9584 c. M: 6.4640 c. 17: 4 4 5 4 SP M ME SD: 2.0133 c. M: 3.2877 c. 21: 5 5 6 5 SP M ME SD: 0.8092 c. M: 1.3214 c. 25: 6 6 7 6 SP M ME SD: 0.0096 c. M:-0.0156 c. 921: 221 221 258 221 SP M DE SD: 0.0091 c. M: 0.0149 c. 946: 227 227 265 227 SP M DE SD: 0.0086 c. M: 0.0141 c. 971: 233 233 272 233 SP M DE SD: 0.0081 c. M: 0.0133 c. 996: 239 239 279 239 SP M DE SD: 0.0077 c. M: 0.0126 c. 1021: 245 245 286 245 SP M DE SD: 0.0073 c. M: 0.0119 c. 1046: 251 251 293 251 SP M DE SD: 0.0069 c. M: 0.0112 c. 1071: 257 257 300 257 SP M DE SD: 0.0065 c. M: 0.0106 c. 1096: 263 263 307 263 SP M DE SD: 0.0061 c. M: 0.0100 c. 1121: 269 269 314 269 SP M DE SD: 0.0058 c. M: 0.0094 c. 1146: 275 275 321 275 SP M DE SD: 0.0054 c. M: 0.0089 c. 1171: 281 281 328 281 SP M DE SD: 0.0051 c. M: 0.0084 c. 1196: 287 287 335 287 SP M DE SD: 0.0048 c. M: 0.0079 c. 1221: 293 293 342 293 SP M DE SD: 0.0045 c. M: 0.0074 c. 1246: 299 299 349 299 SP M DE SD: 0.0042 c. M: 0.0069 c. 1271: 305 305 356 305 SP M DE SD: 0.0040 c. M: 0.0065 c. 1296: 311 311 363 311 SP M DE SD: 0.0037 c. M: 0.0061 c. 1321: 317 317 370 317 SP M DE SD: 0.0035 c. M: 0.0056 c. 1346: 323 323 377 323 SP M DE SD: 0.0032 c. M: 0.0053 c. 1371: 329 329 384 329 SP M DE SD: 0.0030 c. M: 0.0049 c. 1396: 335 335 391 335 SP M DE SD: 0.0028 c. M: 0.0045 c. 1421: 341 341 398 341 SP M DE SD: 0.0025 c. M: 0.0041 c. 1446: 347 347 405 347 SP M DE SD: 0.0023 c. M: 0.0038 c. 1471: 353 353 412 353 SP M DE SD: 0.0021 c. M: 0.0035 c. 1496: 359 359 419 359 SP M DE SD: 0.0019 c. M: 0.0032 c. 1521: 365 365 426 365 SP M DE SD: 0.0017 c. M: 0.0029 c. 1546: 371 371 433 371 SP M DE SD: 0.0016 c. M: 0.0026 c. 1571: 377 377 440 377 SP M DE SD: 0.0014 c. M: 0.0023 c. 1596: 383 383 447 383 SP M DE SD: 0.0012 c. M: 0.0020 c. 1621: 389 389 454 389 SP M DE SD: 0.0010 c. M: 0.0017 c. 1646: 395 395 461 395 SP M DE SD: 0.0009 c. M: 0.0014 c. 1671: 401 401 468 401 SP M DE SD: 0.0007 c. M: 0.0012 c. 1696: 407 407 475 407 SP M DE SD: 0.0006 c. M: 0.0009 c. 1721: 413 413 482 413 SP M DE SD: 0.0004 c. M: 0.0007 c. 1746: 419 419 489 419 SP M DE SD: 0.0003 c. M: 0.0005 c. 1771: 425 425 496 425 SP M DE SD: 0.0001 c. M: 0.0002 c. 1796: 431 431 503 431 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 849.0225 cents 2 x x x 3 S SD: 350.9775 cents 3 x x x 4 S SD: 147.0675 cents 4 x x x 5 S SD: 35.3362 cents 5 x x x 6 S SD: 35.3362 cents 6 x x 7 x S SD: 0.1202 cents 7 x x 8:9 S SD: 45.6607 cents 8 x 9 x 10 S SD: 25.0290 cents 9 x 10 x 11 S SD: 7.1998 cents 10 x 11 x 12 S SD: 17.7521 cents 11 x 12:13 x S SD: 14.3338 cents 12 x 13:14:15 S SD: 15.4256 cents 13 x 14:15:16 S SD: 15.0775 cents 14:15 x 16:17 S SD: 17.4047 cents 15:16:17 x 18 S SD: 21.9382 cents 16:17:18:19:20 H SD: 15.5760 cents 17:18:19:20:21 H SD: 8.7741 cents 18:19:20:21:22 H SD: 4.2959 cents 40:42:44:47:49 SD: 3.2297 cents 41:43:45:48:50 SD: 3.0515 cents 58:61:64:68:71 SD: 2.3524 cents 59:62:65:69:72 SD: 1.9489 cents 79:83:87:92:97 SD: 1.4153 cents 97:102:107:113:119 SD: 1.2282 cents 119:125:131:139:146 SD: 1.1014 cents 120:126:132:140:147 SD: 0.8696 cents 138:145:152:161:169 SD: 0.4653 cents 263:276:290:307:322 SD: 0.3945 cents 324:340:357:378:397 SD: 0.3105 cents 342:359:377:399:419 SD: 0.1671 cents 480:504:529:560:588 SD: 0.1205 cents