Lumatone mapping for 68edo: Difference between revisions

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== Diaschismic ==

The [[diaschismic]] mapping would hit harmonics with greater efficiency than the diatonic mapping, but this also has multiple unconnected rings in 68edo, requiring splitting of either the period or generator to hit all the notes. The most obvious of these would be [[Shrutar]], but this results in either a very lopsided step size or a lot of repeated notes, making it not actually the optimal mapping for an edo of this size.

== Octacot ==

The [[octacot]] mapping is also another option, but has only two octaves of range.

=== Bidia ===

The next option is slicing the period in 4, which produces [[bidia]]. The [[4L 4s]] mapping covers the full gamut in the middle octaves with a minimum of repeated notes, but skips quite a few at the edges and has a strong downward slope. The [[8L 4s]] mapping covers all the notes with a mild slope and a moderate amount of repeated notes, but with a smaller range.

The next option is slicing the period in 4, which produces [[bidia]]. The [[4L 4s]] mapping covers the full gamut in the middle octaves with a minimum of repeated notes, but skips quite a few at the edges and has a strong downward slope. The [[8L 4s]] mapping covers all the notes with a mild slope and a moderate amount of repeated notes, but with a smaller range.

=== Quadrasruta ===

Another option is the [[8L 2s]] [[Quadrasruta]] mapping, which gives you more than three octaves with no missed notes and only a mild upward octave slant, making all harmonics except for the 11th & 19th easy to play together.

Another option is the [[8L 2s]] [[Quadrasruta]] mapping, which gives you more than three octaves with no missed notes and only a mild upward octave slant, making all harmonics except for the 11th and 19th easy to play together.

== Antidiatonic ==

To give you a little more range while keeping octaves fairly near horizontal, the [[2L 7s]] mapping generated by 31/68 works decently, especially if you favor using the 11th harmonic in compositions.

To give you a little more range while keeping octaves fairly near horizontal, the [[2L 7s]] mapping generated by 31/68 works decently, especially if you favor using the 11th harmonic in compositions.

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 == Diaschismic ==
 The [[diaschismic]] mapping would hit harmonics with greater efficiency than the diatonic mapping, but this also has multiple unconnected rings in 68edo, requiring splitting of either the period or generator to hit all the notes. The most obvious of these would be [[Shrutar]], but this results in either a very lopsided step size or a lot of repeated notes, making it not actually the optimal mapping for an edo of this size.
+== Octacot ==
+The [[octacot]] mapping is also another option, but has only two octaves of range.
+{{Lumatone EDO mapping|n=68|start=65|xstep=5|ystep=-2}}
 === Bidia ===
-The next option is slicing the period in 4, which produces [[bidia]]. The [[4L 4s]] mapping covers the full gamut in the middle octaves with a minimum of repeated notes, but skips quite a few at the edges and has a strong downward slope. The [[8L 4s]] mapping covers all the notes with a mild slope and a moderate amount of repeated notes, but with a smaller range.
+The next option is slicing the period in 4, which produces [[bidia]]. The [[4L&nbsp;4s]] mapping covers the full gamut in the middle octaves with a minimum of repeated notes, but skips quite a few at the edges and has a strong downward slope. The [[8L&nbsp;4s]] mapping covers all the notes with a mild slope and a moderate amount of repeated notes, but with a smaller range.
 {{Lumatone EDO mapping|n=68|start=0|xstep=6|ystep=5}}
 {{Lumatone EDO mapping|n=68|start=60|xstep=6|ystep=-1}}
 === Quadrasruta ===
-Another option is the [[8L 2s]] [[Quadrasruta]] mapping, which gives you more than three octaves with no missed notes and only a mild upward octave slant, making all harmonics except for the 11th & 19th easy to play together.
+Another option is the [[8L&nbsp;2s]] [[Quadrasruta]] mapping, which gives you more than three octaves with no missed notes and only a mild upward octave slant, making all harmonics except for the 11th and 19th easy to play together.
 {{Lumatone EDO mapping|n=68|start=53|xstep=7|ystep=-1}}
 == Antidiatonic ==
-To give you a little more range while keeping octaves fairly near horizontal, the [[2L 7s]] mapping generated by 31/68 works decently, especially if you favor using the 11th harmonic in compositions.
+To give you a little more range while keeping octaves fairly near horizontal, the [[2L&nbsp;7s]] mapping generated by 31/68 works decently, especially if you favor using the 11th harmonic in compositions.
 {{Lumatone EDO mapping|n=68|start=57|xstep=6|ystep=7}}