Non radical intervals with musical significance: Difference between revisions
m Fix math tags, add names, unify precision (cents), misc. edits |
fixed the definition of non-radical |
||
| Line 1: | Line 1: | ||
Musicians are typically interested in musical intervals that are rational (i.e. justly intoned ratios), or equal divisions of these intervals. However, not all intervals fit into this box. | Musicians are typically interested in musical intervals that are rational (i.e. justly intoned ratios), or equal divisions of these intervals. However, not all intervals fit into this box. | ||
There are many non-radical intervals which have musical significance. By '''non-radical''' is meant a number that cannot be written in the form <math>a^{1/ | There are many non-radical intervals which have musical significance. By '''non-radical''' is meant a number that cannot be written in the form <math>(a/b)^{1/c}</math>, where <math>a</math>, <math>b</math> and <math>c</math> are integers. What follows is a list of musically significant non-radical intervals. | ||
{| class="wikitable" | {| class="wikitable" | ||