Scala analysis: xen18-erlich-hanson-04
3L 1s MOS for Hanson, L=317.07, s=249.08
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 317.070 cents 317.070000 2: 566.150 cents 566.150000 3: 883.220 cents 883.220000 4: 1200.290 cents 1200.290000
SHOW/INTERVAL
0: 317.0700 cents 317.0700 1: 317.0700 cents 317.0700 2: 249.0800 cents 249.0800 3: 317.0700 cents 317.0700 4: 317.0700 cents 317.0700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 249.08000 cents 1: 3 317.07000 cents 2: 2 566.15000 cents 2: 2 634.14000 cents 3: 3 883.22000 cents 3: 1 951.21000 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 : 317.1 566.1 883.2 1200.3 317.1 : 249.1 566.1 883.2 1200.3 566.1 : 317.1 634.1 951.2 1200.3 883.2 : 317.1 634.1 883.2 1200.3 1200.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 249.0800 .. 317.0700 cents 67.99000 cents 249.08000 cents 2: 566.1500 .. 634.1400 cents 67.99000 cents 249.08000 cents 3: 883.2200 .. 951.2100 cents 67.99000 cents 249.08000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 249.08000 cents, class 1 Average step (divided formal octave): 300.0725 cents Largest one step interval : 317.07000 cents Average / Smallest step : 1.204723 Largest / Average step : 1.056645 Largest / Smallest step : 1.272965 Median interval of one step : 317.07000 cents, amount: 3 Most common interval of one step : 317.07000 cents, amount: 3 Least squares average step : 296.67300 cents, oct.: 1186.69200 cents Scale is strictly proper Scale has Myhill's property chromas: 67.99000 cents and 181.09000 cents, ratio: 2.663480 generators: 1 of 317.07000 cents and 3 of 883.22000 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 1518-tone equal temperament with octave 1200.290 cents degrees: 401 716 1117 1518 generators: 401 and 1117 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 249.08000 cents Scale diversity : 1.229080 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.830066 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 : 67.99000 cents Most common intervals : 317.07000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 317.070 883.220 cents Most common triad is 0.0 317.070 883.220 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: 20.8176 c. M:-33.9950 c. 11: 3 2 3 3 SP M ME SD: 12.5926 c. M: 20.5636 c. 15: 4 3 4 4 SP M ME SD: 3.6832 c. M: 6.0147 c. 19: 5 4 5 5 SP M ME SD: 1.4749 c. M:-2.4084 c. Four out of 19 34: 9 7 9 9 SP M DE SD: 0.8008 c. M: 1.3076 c. 53: 14 11 14 14 SP M DE SD: 0.0150 c. M:-0.0245 c. 935: 247 194 247 247 SP M DE SD: 0.0146 c. M: 0.0239 c. 988: 261 205 261 261 SP M DE SD: 0.0131 c. M: 0.0213 c. 1041: 275 216 275 275 SP M DE SD: 0.0116 c. M: 0.0190 c. 1094: 289 227 289 289 SP M DE SD: 0.0103 c. M: 0.0169 c. 1147: 303 238 303 303 SP M DE SD: 0.0092 c. M: 0.0150 c. 1200: 317 249 317 317 SP M DE SD: 0.0081 c. M: 0.0132 c. 1253: 331 260 331 331 SP M DE SD: 0.0071 c. M: 0.0116 c. 1306: 345 271 345 345 SP M DE SD: 0.0062 c. M: 0.0102 c. 1359: 359 282 359 359 SP M DE SD: 0.0054 c. M: 0.0088 c. 1412: 373 293 373 373 SP M DE SD: 0.0046 c. M: 0.0075 c. 1465: 387 304 387 387 SP M DE SD: 0.0039 c. M: 0.0064 c. 1518: 401 315 401 401 SP M DE SD: 0.0033 c. M: 0.0053 c. 1571: 415 326 415 415 SP M DE SD: 0.0026 c. M: 0.0043 c. 1624: 429 337 429 429 SP M DE SD: 0.0021 c. M: 0.0034 c. 1677: 443 348 443 443 SP M DE SD: 0.0015 c. M: 0.0025 c. 1730: 457 359 457 457 SP M DE SD: 0.0010 c. M: 0.0017 c. 1783: 471 370 471 471 SP M DE SD: 0.0005 c. M: 0.0009 c. 1836: 485 381 485 485 SP M DE SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.2900 cents 2 x 3 x 4 S SD: 67.9027 cents 3 x 4:5:6 S SD: 22.7050 cents 5:6:7:8:10 S SD: 17.8619 cents 10:12:14:17:20 SD: 9.7613 cents 15:18:21:25:30 SD: 4.1166 cents 31:37:43:52:62 SD: 4.0820 cents 34:41:47:57:68 SD: 3.6096 cents 36:43:50:60:72 SD: 2.4686 cents 39:47:54:65:78 SD: 1.6675 cents 54:65:75:90:108 SD: 1.2050 cents 60:72:83:100:120 SD: 1.1867 cents 75:90:104:125:150 SD: 0.4653 cents 129:155:179:215:258 SD: 0.4291 cents 189:227:262:315:378 SD: 0.3471 cents 194:233:269:323:388 SD: 0.1921 cents 269:323:373:448:538 SD: 0.1379 cents 323:388:448:538:646 SD: 0.1272 cents 398:478:552:663:796 SD: 0.1041 cents 592:711:821:986:1184 SD: 0.0734 cents