Skip fretting system 46 2 11: Difference between revisions

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A good way to play in 46-edo on a stringed instrument is with a 23-edo fretboard and strings tuned 11\46 apart.

A good way to play in [[46edo|46-edo]] on a stringed instrument is with a [[23edo|23-edo]] fretboard and strings tuned 11\46 apart, a [[Gentle_region_(extended_version)|neo-gothic]] approximation of [[13/11]].

=== Layout: Harmonics on the fretboard ===

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=== Pros, cons, and comparison to the Kite guitar ===

46-edo is harmonically exceptional~~. Among other virtues~~, ~~it is~~ the ~~first~~ edo consistent in the 13~~-limit. See [[46edo]]~~.

46-edo is harmonically exceptional, having one of the lowest [[Relative_errors_of_small_EDOs|high prime limit errors]] of any edo under 100, although it it only consistent up to the 13.

The thirds in 46-edo can be easier for a listener used to 12-edo to accept than those in 41-edo. (In 46-edo, thirds are 5c sharp; in 12-edo they are 14c sharp; and in 41-edo they are 6c flat.)

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The most difficult 15-limit ratios (12:11 and 13:12) to play span 8 frets of 23-edo, which is equivalent to 4.2 frets of 12-edo (since 8*12/23 = 4.2). This is a little narrower (i.e. easier) than the widest 15-limit stretch in the Kite tuning, which is 4.6 frets of 12 edo.

[[Category:Skip fretting]] [[Category:46edo]]

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-A good way to play in 46-edo on a stringed instrument is with a 23-edo fretboard and strings tuned 11\46 apart.
+A good way to play in [[46edo|46-edo]] on a stringed instrument is with a [[23edo|23-edo]] fretboard and strings tuned 11\46 apart, a [[Gentle_region_(extended_version)|neo-gothic]] approximation of [[13/11]].
 === Layout: Harmonics on the fretboard ===
@@ Line 21: / Line 21: @@
 === Pros, cons, and comparison to the Kite guitar ===
--edo is harmonically exceptional. Among other virtues, it is the first edo consistent in the 13-limit. See [[46edo]].
+-edo is harmonically exceptional, having one of the lowest [[Relative_errors_of_small_EDOs|high prime limit errors]] of any edo under 100, although it it only consistent up to the 13.
 The thirds in 46-edo can be easier for a listener used to 12-edo to accept than those in 41-edo. (In 46-edo, thirds are 5c sharp; in 12-edo they are 14c sharp; and in 41-edo they are 6c flat.)
@@ Line 28: / Line 28: @@
 The most difficult 15-limit ratios (12:11 and 13:12) to play span 8 frets of 23-edo, which is equivalent to 4.2 frets of 12-edo (since 8*12/23 = 4.2). This is a little narrower (i.e. easier) than the widest 15-limit stretch in the Kite tuning, which is 4.6 frets of 12 edo.
+[[Category:Skip fretting]] [[Category:46edo]]