Scala analysis: xen18-erlich-keemun-04
3L 1s MOS for Keemun, L=317.84, s=249.67
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 317.840 cents 317.840000 2: 567.510 cents 567.510000 3: 885.350 cents 885.350000 4: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 317.8400 cents 317.8400 1: 317.8400 cents 317.8400 2: 249.6700 cents 249.6700 3: 317.8400 cents 317.8400 4: 317.8400 cents 317.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 249.67000 cents 1: 3 317.84000 cents 2: 2 567.51000 cents 2: 2 635.68000 cents 3: 3 885.35000 cents 3: 1 953.52000 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 : 317.8 567.5 885.3 1203.2 317.8 : 249.7 567.5 885.3 1203.2 567.5 : 317.8 635.7 953.5 1203.2 885.3 : 317.8 635.7 885.3 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 249.6700 .. 317.8400 cents 68.17000 cents 249.67000 cents 2: 567.5100 .. 635.6800 cents 68.17000 cents 249.67000 cents 3: 885.3500 .. 953.5200 cents 68.17000 cents 249.67000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 249.67000 cents, class 1 Average step (divided formal octave): 300.7975 cents Largest one step interval : 317.84000 cents Average / Smallest step : 1.204780 Largest / Average step : 1.056658 Largest / Smallest step : 1.273040 Median interval of one step : 317.84000 cents, amount: 3 Most common interval of one step : 317.84000 cents, amount: 3 Least squares average step : 297.38900 cents, oct.: 1189.55600 cents Scale is strictly proper Scale has Myhill's property chromas: 68.17000 cents and 181.50000 cents, ratio: 2.662461 generators: 1 of 317.84000 cents and 3 of 885.35000 cents ET pair of linear temperament : 15&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1200-tone equal temperament with octave 1203.190 cents degrees: 317 566 883 1200 generators: 317 and 883 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : LSLL Scale is a Constant Structure, by a margin of 249.67000 cents Scale diversity : 1.225134 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.830027 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 : 68.17000 cents Most common intervals : 317.84000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 317.840 885.350 cents Most common triad is 0.0 317.840 885.350 cents, amount: 2 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 : 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: 1 1 1 1 SP B ME I SD: 20.8727 c. M:-34.0850 c. 11: 3 2 3 3 SP M ME SD: 12.6182 c. M: 20.6055 c. 15: 4 3 4 4 SP M ME SD: 3.6873 c. M: 6.0213 c. 19: 5 4 5 5 SP M ME SD: 1.4832 c. M:-2.4221 c. Four out of 19 34: 9 7 9 9 SP M DE SD: 0.7979 c. M: 1.3029 c. 53: 14 11 14 14 SP M DE SD: 0.0199 c. M:-0.0325 c. 723: 191 150 191 191 SP M DE SD: 0.0186 c. M: 0.0303 c. 776: 205 161 205 205 SP M DE SD: 0.0160 c. M: 0.0261 c. 829: 219 172 219 219 SP M DE SD: 0.0137 c. M: 0.0223 c. 882: 233 183 233 233 SP M DE SD: 0.0117 c. M: 0.0190 c. 935: 247 194 247 247 SP M DE SD: 0.0099 c. M: 0.0161 c. 988: 261 205 261 261 SP M DE SD: 0.0083 c. M: 0.0135 c. 1041: 275 216 275 275 SP M DE SD: 0.0068 c. M: 0.0112 c. 1094: 289 227 289 289 SP M DE SD: 0.0055 c. M: 0.0090 c. 1147: 303 238 303 303 SP M DE SD: 0.0044 c. M: 0.0071 c. 1200: 317 249 317 317 SP M DE SD: 0.0033 c. M: 0.0054 c. 1253: 331 260 331 331 SP M DE SD: 0.0023 c. M: 0.0038 c. 1306: 345 271 345 345 SP M DE SD: 0.0014 c. M: 0.0023 c. 1359: 359 282 359 359 SP M DE SD: 0.0006 c. M: 0.0010 c. 1412: 373 293 373 373 SP M DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.1900 cents 2 x 3 x 4 S SD: 67.2414 cents 3 x 4:5:6 S SD: 23.1818 cents 5:6:7:8:10 S SD: 18.3299 cents 10:12:14:17:20 SD: 9.1802 cents 15:18:21:25:30 SD: 3.8815 cents 34:41:47:57:68 SD: 3.3711 cents 36:43:50:60:72 SD: 2.7078 cents 39:47:54:65:78 SD: 1.8552 cents 54:65:75:90:108 SD: 1.1846 cents 75:90:104:125:150 SD: 1.0736 cents 90:108:125:150:180 SD: 1.0444 cents 114:137:158:190:228 SD: 1.0376 cents 124:149:172:207:248 SD: 0.9515 cents 129:155:179:215:258 SD: 0.8412 cents 144:173:200:240:289 SD: 0.8054 cents 165:198:229:275:331 SD: 0.7912 cents 168:202:233:280:337 SD: 0.7040 cents 178:214:247:297:357 SD: 0.5527 cents 183:220:254:305:367 SD: 0.5151 cents 193:232:268:322:387 SD: 0.4774 cents 204:245:283:340:409 SD: 0.4601 cents 214:257:297:357:429 SD: 0.3397 cents 253:304:351:422:507 SD: 0.2098 cents 268:322:372:447:537 SD: 0.0880 cents