ELD: Difference between revisions
Cmloegcmluin (talk | contribs) →Vs. ALS: correction re: periodicity (thanks Flora!) |
Cmloegcmluin (talk | contribs) address Flora's recent concerns about rationality vs. irrationality in this system |
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== Specification == | == Specification == | ||
Its full specification is n-ELDp: n equal length divisions of the | Its full specification is n-ELDp: n equal length divisions of the interval p. | ||
== Formula == | == Formula == | ||
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=== Vs. EPD === | === Vs. EPD === | ||
It is possible to — instead of equally dividing the octave in 12 equal parts by pitch — divide it into 12 equal parts by '''length'''. You will have 12-ELDO. However, that's not exactly ideal because, as with arithmetic sequences, different acronyms | It is possible to — instead of equally dividing the octave in 12 equal parts by pitch — divide it into 12 equal parts by '''length'''. You will have 12-ELDO. However, that's not exactly ideal because, as with arithmetic sequences, different acronyms can be used to distinguish rational (JI) tunings from irrational (non-JI) tunings, and so ELD are typically reserved for irrational tunings, such as 12-ELDφ. So it would be more appropriate to name this tuning 12-UDO, for utonal divisions of the octave. | ||
=== Vs. UD === | === Vs. UD === | ||
The only difference between an n-ELDp and an [[UD|n-UDp (or utonal division)]] is that the p for a utonal division | The only difference between an n-ELDp and an [[UD|n-UDp (or utonal division)]] is that the p for a utonal division must be rational. | ||
=== Vs. EFD === | === Vs. EFD === | ||