Scala analysis: xen18-erlich-doublewide-04
2L 2s MOS for Doublewide, L=326.96, s=272.32
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 272.320 cents 272.320000 2: 599.280 cents 599.280000 3: 871.600 cents 871.600000 4: 1198.560 cents 1198.560000
SHOW/INTERVAL
0: 326.9600 cents 326.9600 1: 272.3200 cents 272.3200 2: 326.9600 cents 326.9600 3: 272.3200 cents 272.3200 4: 326.9600 cents 326.9600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 272.32000 cents 1: 2 326.96000 cents 2: 4 599.28000 cents 3: 2 871.60000 cents 3: 2 926.24000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.66667 = 5/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 272.3 599.3 871.6 1198.6 272.3 : 327.0 599.3 926.2 1198.6 599.3 : 272.3 599.3 871.6 1198.6 871.6 : 327.0 599.3 926.2 1198.6 1198.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 272.3200 .. 326.9600 cents 54.64000 cents 272.32000 cents 2: 599.2800 .. 599.2800 cents 1/1, 0.0000 cents 272.32000 cents 3: 871.6000 .. 926.2400 cents 54.64000 cents 272.32000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 272.32000 cents, class 1 Average step (divided formal octave): 299.6400 cents Largest one step interval : 326.96000 cents Average / Smallest step : 1.100323 Largest / Average step : 1.091176 Largest / Smallest step : 1.200646 Median interval of one step : 299.64000 cents, amount: 0 Least squares average step : 295.99733 cents, oct.: 1183.98933 cents Scale is strictly proper Scale has 2 repeating blocks of 2 notes Blocks have Myhill's property chromas: 54.64000 cents and 217.68000 cents, ratio: 3.983895 generator: 1 of 272.32000 cents ET pair of linear temperament : 22&1360 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1272-tone equal temperament with octave 1198.560 cents degrees: 289 636 925 1272 Least number of segments generator : 637 of 600.222 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 925 of 871.594 cents and inv. generated superset size: 638 = 634 more = 15950.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAB Step pattern size order : SLSL Scale is a Constant Structure, by a margin of 272.32000 cents Scale diversity : 1.125416 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.908824 Rothenberg efficiency (ambiguous key): 1.000000 redundancy: 0.000000 Efficiency x scale size : 4.000000 Number of different interval sizes : 5 = 1.66667 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.66667 = 5/3 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 54.64000 cents Most common intervals : 599.28000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 272.320 599.280 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 2 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 2 Limited inverse transpositions : 1 3 Inversional symmetry on intervals : 0-1 1-2 2-3 3-4 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 19.3182 c. M:-27.3200 c. 14: 3 4 3 4 SP B ME SD: 10.9501 c. M: 15.4857 c. 18: 4 5 4 5 SP B ME SD: 4.2238 c. M: 5.9733 c. 22: 5 6 5 6 SP B ME SD: 0.0566 c. M:-0.0800 c. 700: 159 191 159 191 SP B DE SD: 0.0535 c. M: 0.0757 c. 722: 164 197 164 197 SP B DE SD: 0.0501 c. M: 0.0709 c. 744: 169 203 169 203 SP B DE SD: 0.0470 c. M: 0.0665 c. 766: 174 209 174 209 SP B DE SD: 0.0440 c. M: 0.0622 c. 788: 179 215 179 215 SP B DE SD: 0.0412 c. M: 0.0583 c. 810: 184 221 184 221 SP B DE SD: 0.0386 c. M: 0.0545 c. 832: 189 227 189 227 SP B DE SD: 0.0360 c. M: 0.0510 c. 854: 194 233 194 233 SP B DE SD: 0.0336 c. M: 0.0476 c. 876: 199 239 199 239 SP B DE SD: 0.0314 c. M: 0.0444 c. 898: 204 245 204 245 SP B DE SD: 0.0292 c. M: 0.0413 c. 920: 209 251 209 251 SP B DE SD: 0.0272 c. M: 0.0384 c. 942: 214 257 214 257 SP B DE SD: 0.0252 c. M: 0.0357 c. 964: 219 263 219 263 SP B DE SD: 0.0234 c. M: 0.0330 c. 986: 224 269 224 269 SP B DE SD: 0.0216 c. M: 0.0305 c. 1008: 229 275 229 275 SP B DE SD: 0.0199 c. M: 0.0281 c. 1030: 234 281 234 281 SP B DE SD: 0.0182 c. M: 0.0258 c. 1052: 239 287 239 287 SP B DE SD: 0.0167 c. M: 0.0236 c. 1074: 244 293 244 293 SP B DE SD: 0.0152 c. M: 0.0215 c. 1096: 249 299 249 299 SP B DE SD: 0.0137 c. M: 0.0194 c. 1118: 254 305 254 305 SP B DE SD: 0.0123 c. M: 0.0175 c. 1140: 259 311 259 311 SP B DE SD: 0.0110 c. M: 0.0156 c. 1162: 264 317 264 317 SP B DE SD: 0.0097 c. M: 0.0138 c. 1184: 269 323 269 323 SP B DE SD: 0.0085 c. M: 0.0120 c. 1206: 274 329 274 329 SP B DE SD: 0.0073 c. M: 0.0103 c. 1228: 279 335 279 335 SP B DE SD: 0.0062 c. M: 0.0087 c. 1250: 284 341 284 341 SP B DE SD: 0.0051 c. M: 0.0072 c. 1272: 289 347 289 347 SP B DE SD: 0.0040 c. M: 0.0057 c. 1294: 294 353 294 353 SP B DE SD: 0.0030 c. M: 0.0042 c. 1316: 299 359 299 359 SP B DE SD: 0.0020 c. M: 0.0028 c. 1338: 304 365 304 365 SP B DE SD: 0.0010 c. M: 0.0014 c. 1360: 309 371 309 371 SP B DE SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x 2 S SD: 1.4400 cents 2 x 3 x 4 S SD: 51.3425 cents 3 x 4:5:6 S SD: 34.0153 cents 5:6:7:8:10 S SD: 18.5640 cents 10:12:14:17:20 SD: 16.5320 cents 11:13:16:18:22 SD: 13.8951 cents 12:14:17:20:24 SD: 3.6090 cents 17:20:24:28:34 SD: 3.0487 cents 29:34:41:48:58 SD: 0.8687 cents 99:116:140:164:198 SD: 0.8509 cents 118:138:167:195:236 SD: 0.8494 cents 128:150:181:212:256 SD: 0.8331 cents 130:152:184:215:260 SD: 0.7825 cents 147:172:208:243:294 SD: 0.6607 cents 159:186:225:263:318 SD: 0.6152 cents 176:206:249:291:352 SD: 0.5707 cents 188:220:266:311:376 SD: 0.5335 cents 217:254:307:359:434 SD: 0.5011 cents 223:261:315:369:446 SD: 0.4927 cents 252:295:356:417:504 SD: 0.4789 cents 310:363:438:513:619 SD: 0.4777 cents 312:365:441:516:623 SD: 0.4099 cents 324:379:458:536:647 SD: 0.3795 cents 341:399:482:564:681 SD: 0.3186 cents 353:413:499:584:705 SD: 0.2889 cents 370:433:523:612:739 SD: 0.2496 cents 382:447:540:632:763 SD: 0.2183 cents 399:467:564:660:797 SD: 0.2024 cents 411:481:581:680:821 SD: 0.1682 cents 440:515:622:728:879 SD: 0.1416 cents 469:549:663:776:937 SD: 0.1390 cents 587:687:830:971:1173 SD: 0.1250 cents 599:701:847:991:1197 SD: 0.1239 cents