Scala analysis: xen18-erlich-hanson-07
4L 3s MOS for Hanson, L=249.08, s=67.99
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 249.080 cents 249.080000 2: 317.070 cents 317.070000 3: 566.150 cents 566.150000 4: 634.140 cents 634.140000 5: 883.220 cents 883.220000 6: 951.210 cents 951.210000 7: 1200.290 cents 1200.290000
SHOW/INTERVAL
0: 249.0800 cents 249.0800 1: 249.0800 cents 249.0800 2: 67.9900 cents 67.9900 3: 249.0800 cents 249.0800 4: 67.9900 cents 67.9900 5: 249.0800 cents 249.0800 6: 67.9900 cents 67.9900 7: 249.0800 cents 249.0800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 67.99000 cents 1: 4 249.08000 cents 2: 6 317.07000 cents 2: 1 498.16000 cents 3: 2 385.06000 cents 3: 5 566.15000 cents 4: 5 634.14000 cents 4: 2 815.23000 cents 5: 1 702.13000 cents 5: 6 883.22000 cents 6: 4 951.21000 cents 6: 3 1132.30000 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 5 6 7 0.0 : 249.1 317.1 566.1 634.1 883.2 951.2 1200.3 249.1 : 68.0 317.1 385.1 634.1 702.1 951.2 1200.3 317.1 : 249.1 317.1 566.1 634.1 883.2 1132.3 1200.3 566.1 : 68.0 317.1 385.1 634.1 883.2 951.2 1200.3 634.1 : 249.1 317.1 566.1 815.2 883.2 1132.3 1200.3 883.2 : 68.0 317.1 566.2 634.1 883.2 951.2 1200.3 951.2 : 249.1 498.2 566.1 815.2 883.2 1132.3 1200.3 1200.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 67.9900 .. 249.0800 cents 181.09000 cents 67.99000 cents 2: 317.0700 .. 498.1600 cents 181.09000 cents 67.99000 cents 3: 385.0600 .. 566.1500 cents 181.09000 cents -113.10000 cents 4: 634.1400 .. 815.2300 cents 181.09000 cents 67.99000 cents 5: 702.1300 .. 883.2200 cents 181.09000 cents -113.10000 cents 6: 951.2100 .. 1132.3000 cents 181.09000 cents 67.99000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 67.99000 cents, class 1 Average step (divided formal octave): 171.4700 cents Largest one step interval : 249.08000 cents Average / Smallest step : 2.521989 Largest / Average step : 1.452616 Largest / Smallest step : 3.663480 Median interval of one step : 249.08000 cents, amount: 4 Most common interval of one step : 249.08000 cents, amount: 4 Least squares average step : 168.88300 cents, oct.: 1182.18100 cents Scale is not proper Scale has Myhill's property chromas: 181.09000 cents and 113.10000 cents, ratio: 1.601149 generators: 2 of 317.07000 cents and 5 of 883.22000 cents ET pair of linear temperament : 15&19 Scale is distributional even Scale is a mode of a 1624-tone equal temperament with octave 1200.290 cents degrees: 337 429 766 858 1195 1287 1624 generators: 429 and 1195 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : LSLSLSL Scale is a Constant Structure, by a margin of 67.99000 cents Scale diversity : 1.225100 Lumma stability : 0.283223 Lumma impropriety factor : 0.188454 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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: 6 Scale is a chain of 3 triads 0.0 317.070 634.140 cents Most common triad is 0.0 317.070 883.220 cents, amount: 5 Number of recognisable fifths : 1, average 702.1300 cents Number of recognisable fourths : 1, average 498.1600 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 0 2 0 2 0 2 N T3 SD: 87.5981 c. M: 145.6000 c. 8: 2 0 2 0 2 0 2 N M DE I SD: 33.9950 c. M:-50.9925 c. 9: 2 0 2 1 2 0 2 N T3 I SD: 33.4410 c. M:-50.3389 c. 10: 2 1 2 0 2 1 2 N T3 I SD: 29.7010 c. M:-43.0170 c. 11: 2 1 2 1 2 1 2 P M ME I SD: 20.5636 c. M:-30.8455 c. Superkleismic-7 15: 3 1 3 1 3 1 3 N M DE I SD: 6.0147 c. M:-9.0220 c. Superkleismic-7 19: 4 1 4 1 4 1 4 N M DE I SD: 2.4084 c. M:-3.6126 c. Oljare Diminished 34: 7 2 7 2 7 2 7 N M DE I SD: 1.3076 c. M:-1.9615 c. 53: 11 3 11 3 11 3 11 N M DE I SD: 0.0245 c. M:-0.0368 c. 935: 194 53 194 53 194 53 194 N M DE I SD: 0.0239 c. M:-0.0359 c. 988: 205 56 205 56 205 56 205 N M DE I SD: 0.0213 c. M: 0.0320 c. 1041: 216 59 216 59 216 59 216 N M DE I SD: 0.0190 c. M:-0.0285 c. 1094: 227 62 227 62 227 62 227 N M DE I SD: 0.0169 c. M:-0.0253 c. 1147: 238 65 238 65 238 65 238 N M DE I SD: 0.0150 c. M:-0.0224 c. 1200: 249 68 249 68 249 68 249 N M DE I SD: 0.0132 c. M:-0.0198 c. 1253: 260 71 260 71 260 71 260 N M DE I SD: 0.0116 c. M:-0.0174 c. 1306: 271 74 271 74 271 74 271 N M DE I SD: 0.0102 c. M:-0.0152 c. 1359: 282 77 282 77 282 77 282 N M DE I SD: 0.0088 c. M:-0.0132 c. 1412: 293 80 293 80 293 80 293 N M DE I SD: 0.0075 c. M:-0.0113 c. 1465: 304 83 304 83 304 83 304 N M DE I SD: 0.0064 c. M:-0.0096 c. 1518: 315 86 315 86 315 86 315 N M DE I SD: 0.0053 c. M:-0.0080 c. 1571: 326 89 326 89 326 89 326 N M DE I SD: 0.0043 c. M:-0.0065 c. 1624: 337 92 337 92 337 92 337 N M DE I SD: 0.0034 c. M:-0.0050 c. 1677: 348 95 348 95 348 95 348 N M DE I SD: 0.0025 c. M:-0.0037 c. 1730: 359 98 359 98 359 98 359 N M DE I SD: 0.0017 c. M:-0.0025 c. 1783: 370 101 370 101 370 101 370 N M DE I SD: 0.0009 c. M:-0.0013 c. 1836: 381 104 381 104 381 104 381 N M DE I SD: 0.0001 c. M:-0.0002 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.2900 cents 2 x x x 3 x x 4 S SD: 33.9078 cents 3 x x 4 x 5 x 6 S SD: 22.7050 cents 4 x 5 x 6 x 7:8 S SD: 24.6272 cents 5 x 6:7 x 8:9:10 S SD: 19.5058 cents 6:7 x 8:9:10 x 12 S SD: 19.5500 cents 7:8 x x 10 x 12:14 S SD: 7.6031 cents 10 x 12:14 x x 17:20 SD: 9.1191 cents 11 x 13:15:16:18:19:22 SD: 8.8248 cents 12:14 x x 17:20:21:24 SD: 7.9947 cents 15:17:18:21:22:25:26:30 SD: 6.6353 cents 17:20 x 24:25:28:29:34 SD: 10.8005 cents 18:21:22:25:26:30:31:36 SD: 5.2542 cents 20:23:24:28:29:33:35:40 SD: 4.4687 cents 25:29:30:35:36:42:43:50 SD: 3.8192 cents 30:35:36:42:43:50:52:60 SD: 3.7995 cents 31:36:37:43:45:52:54:62 SD: 3.4319 cents 34:39:41:47:49:57:59:68 SD: 2.6843 cents 39:45:47:54:56:65:68:78 SD: 2.1849 cents 45:52:54:62:65:75:78:90 SD: 1.6946 cents 59:68:71:82:85:98:102:118 SD: 1.2418 cents 70:81:84:97:101:117:121:140 SD: 1.1789 cents 90:104:108:125:130:150:156:180 SD: 0.6186 cents 104:120:125:144:150:173:180:208 SD: 0.6137 cents 129:149:155:179:186:215:223:258 SD: 0.5806 cents 135:156:162:187:195:225:234:270 SD: 0.5782 cents 149:172:179:207:215:248:258:298 SD: 0.5007 cents 168:194:202:233:242:280:291:336 SD: 0.4661 cents 194:224:233:269:280:323:336:388 SD: 0.1988 cents 362:418:435:502:522:603:627:724 SD: 0.1650 cents 452:522:543:627:652:753:783:904 SD: 0.1184 cents 556:642:668:771:802:926:963:1112 SD: 0.1135 cents