42edo: Difference between revisions
No need to remind readers of what a regular temperament is everywhere Tag: Undo |
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! Tuning | ! Tuning | ||
! [[42ed257/128]] | ! [[42ed257/128]] | ||
! [[ | ! [[11ed6/5]] | ||
! [[zpi|189zpi]] | ! [[zpi|189zpi]] | ||
! [[42edo]] | ! [[42edo]] | ||
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! Tuning | ! Tuning | ||
! [[42edo]] | ! [[42edo]] | ||
! [[ | ! [[Equal-step tuning|34ed7/4]] | ||
! [[191zpi]] | ! [[191zpi]] | ||
! [[ | ! [[AS|AS123/121]] | ||
|- | |- | ||
! Steps / octave | ! Steps / octave | ||
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| colspan="5" | <span style="font-size: 0.75em;"><div style="text-align: center;">''“great” = 0-13% relative error • “good” = 13-27% • “okay” = 27-40% • “bad” = 40-50%''</div></span> | | colspan="5" | <span style="font-size: 0.75em;"><div style="text-align: center;">''“great” = 0-13% relative error • “good” = 13-27% • “okay” = 27-40% • “bad” = 40-50%''</div></span> | ||
|} | |} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
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</imagemap> | </imagemap> | ||
== JI | == Approximation to JI == | ||
{{Q-odd-limit intervals}} | {{Q-odd-limit intervals}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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== Instruments == | == Instruments == | ||
=== Lumatone === | |||
{{main|Lumatone mapping for 42edo}} | {{main|Lumatone mapping for 42edo}} | ||
=== Skip fretting === | |||
'''[[Skip fretting]] system 42 3 11''': One way to play [[42edo]] on a [[14edo]] guitar is to tune the strings 11\42, or approximately a [[just]] 6/5, apart. All examples on this page are for 7-string guitar. | |||
; Prime intervals | |||
1/1: string 2 open | |||
2/1: string 5 fret 3 | |||
3/2: string 4 fret 1 and string 7 fret 4 | |||
5/4: string 3 fret 1 | |||
7/4: string 1 fret 1 and string 4 fret 4 | |||
11/8: string 7 fret 2 | |||
13/8: string 3 fret 6 | |||
17/16: string 1 fret 5 | |||
19/16: string 1 fret 7 | |||
23/16: string 4 open and string 7 fret 3 | |||
29/16: string 5 fret 1 | |||
31/16: string 1 fret 3 and string 4 fret 6 | |||
; Chords | |||
Minor 7th: 100123X | |||
== Music == | == Music == | ||
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=== 21st century === | === 21st century === | ||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/watch?v=PJw8gZyNPjg ''improv 42edo''] (2023) | |||
* [https://www.youtube.com/watch?v=ljaSpsQP2qc ''Improvisation in 42edo''] (2023), transcribed by [[Stephen Weigel]] (2024) | * [https://www.youtube.com/watch?v=ljaSpsQP2qc ''Improvisation in 42edo''] (2023), transcribed by [[Stephen Weigel]] (2024) | ||