Creates an interval table from a scale table
Value
an interval table. This is a data.table with seven columns
from
name of "from" notefrom_degree
scale degree of "from" noteto
name of "to" noteto_degree
scale degree of "to" noteratio
interval as a numberratio_frac
interval as a vulgar fraction (character)ratio_cents
interval in cents
Examples
# default is the 1-3-5-7-9-11 Eikosany
eikosany <- cps_scale_table(root_divisor = 33)
print(eikosany_interval_table <-interval_table(eikosany))
#> from_name from_degree to_name to_degree ratio ratio_frac ratio_cents
#> 1: 3x5x11 6 1x3x7 7 1.018182 56/55 31.19425
#> 2: 5x9x11 18 1x7x9 19 1.018182 56/55 31.19425
#> 3: 3x7x9 10 5x7x11 11 1.018519 55/54 31.76665
#> 4: 1x3x9 14 1x5x11 15 1.018519 55/54 31.76665
#> 5: 1x3x11 0 3x5x9 1 1.022727 45/44 38.90577
#> ---
#> 206: 1x3x11 0 5x9x11 18 1.875000 15/8 1088.26871
#> 207: 1x5x7 2 1x3x11' 20 1.885714 66/35 1098.13332
#> 208: 1x3x11 0 1x7x9 19 1.909091 21/11 1119.46296
#> 209: 3x5x9 1 1x3x11' 20 1.955556 88/45 1161.09423
#> 210: 1x3x11 0 1x3x11' 20 2.000000 2 1200.00000