Direct approximation: Difference between revisions
Deleted potentially confusing sentence |
add names to intervals, links to EDO pages, and some explanation about the "patent fifth" |
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==== Examples of Patent Intervals ==== | ==== Examples of Patent Intervals ==== | ||
Of these intervals, the fifth plays an important role for characterizing [[EDO]] systems (as it defines the size of M2, m2, A1). Also, a simple test can show if [[circle-of-fifths notation]] can be applied to a given EDO system, because for this the sizes of fifth and octave must be relatively prime. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! | ! Interval, ratio | ||
! 12edo || 17edo || 19edo || 26edo | ! [[12edo]] || [[17edo]] || [[19edo]] || [[26edo]] | ||
|- | |- | ||
! 3/2 | ! Just perfect fifth, [[3/2]] | ||
| 7 || 10 || 11 || 15 | | 7 || 10 || 11 || 15 | ||
|- | |- | ||
! 5/4 | ! Just classic major third, [[5/4]] | ||
| 4 || 5 || 6 || 8 | | 4 || 5 || 6 || 8 | ||
|- | |- | ||
! 6/5 | ! Just classic minor third, [[6/5]] | ||
| 3 || 4 || 5 || 7 | | 3 || 4 || 5 || 7 | ||
|- | |- | ||
! 7/4 | ! Harmonic seventh, [[7/4]] | ||
| 10 || 14 || 15 || 21 | | 10 || 14 || 15 || 21 | ||
|} | |} | ||