Scala analysis: xen18-erlich-blackwood-05
5L MOS for Blackwood, L=238.87
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 238.870 cents 238.870000 2: 477.740 cents 477.740000 3: 716.610 cents 716.610000 4: 955.480 cents 955.480000 5: 1194.350 cents 1194.350000
SHOW/INTERVAL
0: 238.8700 cents 238.8700 1: 238.8700 cents 238.8700 2: 238.8700 cents 238.8700 3: 238.8700 cents 238.8700 4: 238.8700 cents 238.8700 5: 238.8700 cents 238.8700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 238.87000 cents 2: 5 477.74000 cents 3: 5 716.61000 cents 4: 5 955.48000 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 238.9 477.7 716.6 955.5 1194.3 238.9 : 238.9 477.7 716.6 955.5 1194.3 477.7 : 238.9 477.7 716.6 955.5 1194.3 716.6 : 238.9 477.7 716.6 955.5 1194.3 955.5 : 238.9 477.7 716.6 955.5 1194.3 1194.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 238.8700 .. 238.8700 cents 1/1, 0.0000 cents 238.87000 cents 2: 477.7400 .. 477.7400 cents 1/1, 0.0000 cents 238.87000 cents 3: 716.6100 .. 716.6100 cents 1/1, 0.0000 cents 238.87000 cents 4: 955.4800 .. 955.4800 cents 1/1, 0.0000 cents 238.87000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 238.87000 cents, class 1 Average step (divided formal octave): 238.8700 cents Largest one step interval : 238.87000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 238.87000 cents, amount: 5 Most common interval of one step : 238.87000 cents, amount: 5 Least squares average step : 238.87000 cents, oct.: 1194.35000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 238.87000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 1.000000 Number of different interval sizes : 4 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 5, average 716.6100 cents Number of appreciable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 5.6500 cents 2 x x 3 x 4 S SD: 7.8532 cents 3 x 4 x 5:6 S SD: 24.7262 cents 4 x 5:6:7:8 S SD: 23.4302 cents 6:7:8:9:10:12 S SD: 16.1261 cents 12:14:16:18:21:24 S SD: 8.0527 cents 15:17:20:23:26:30 SD: 7.7306 cents 19:22:25:29:33:38 SD: 4.4756 cents 34:39:45:51:59:68 SD: 3.5030 cents 35:40:46:53:61:70 SD: 2.4875 cents 41:47:54:62:71:82 SD: 1.5821 cents 82:94:108:124:142:163 SD: 1.4838 cents 88:101:116:133:153:175 SD: 0.9989 cents 107:123:141:162:186:213 SD: 0.8224 cents 129:148:170:195:224:257 SD: 0.3911 cents 148:170:195:224:257:295 SD: 0.2832 cents 277:318:365:419:481:552 SD: 0.1307 cents 466:535:614:705:809:929 SD: 0.1230 cents 595:683:784:900:1033:1186 SD: 0.1059 cents