EFD: Difference between revisions
m Categories |
Cmloegcmluin (talk | contribs) fix section capitalization |
||
| Line 17: | Line 17: | ||
== Relationship to other tunings == | == Relationship to other tunings == | ||
=== | === Vs. EPD === | ||
Instead of equally dividing the octave into 12 equal parts by pitch, as is done for 12-EPDO, or 12-EDO (because pitch can be assumed), standard tuning, you could divide it into 12 equal parts by '''frequency'''. This would give you 12-EFDO. | Instead of equally dividing the octave into 12 equal parts by pitch, as is done for 12-EPDO, or 12-EDO (because pitch can be assumed), standard tuning, you could divide it into 12 equal parts by '''frequency'''. This would give you 12-EFDO. | ||
=== | === Vs. ODO === | ||
However, that's not exactly ideal because, as with arithmetic sequences, different acronyms are used to distinguish rational (JI) tunings from irrational (non-JI) tunings, and so EFD is typically reserved for irrational tunings, such as 12-EFDφ. So it would be more appropriate to name this tuning 12-ODO, for [[OD|otonal divisions]] of the octave. | However, that's not exactly ideal because, as with arithmetic sequences, different acronyms are used to distinguish rational (JI) tunings from irrational (non-JI) tunings, and so EFD is typically reserved for irrational tunings, such as 12-EFDφ. So it would be more appropriate to name this tuning 12-ODO, for [[OD|otonal divisions]] of the octave. | ||
| Line 27: | Line 27: | ||
The only difference between [[OD|n-ODp]] and n-EFDp is that the p for an EFD is irrational. | The only difference between [[OD|n-ODp]] and n-EFDp is that the p for an EFD is irrational. | ||
=== | === Vs. ELD === | ||
The analogous utonal equivalent of an EFD is an [[ELD|ELD (equal length division)]]. | The analogous utonal equivalent of an EFD is an [[ELD|ELD (equal length division)]]. | ||
=== | === Vs. AFS === | ||
An EFD will be equivalent to some [[AFS|AFS, or arithmetic frequency sequence]], which has had its count of pitches specified by prefixing "n-"; specifically, n-EFDp = n-AFS((p-1)/n). | An EFD will be equivalent to some [[AFS|AFS, or arithmetic frequency sequence]], which has had its count of pitches specified by prefixing "n-"; specifically, n-EFDp = n-AFS((p-1)/n). | ||