43edo: Difference between revisions
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Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and Downs Notation #Chords and Chord Progressions]]. | Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and Downs Notation #Chords and Chord Progressions]]. | ||
== Notation == | == Notation == | ||
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If {{colored note|red|C♭}} and {{colored note|blue|B♯}} (and {{colored note|red|F♭}} / {{colored note|blue|E♯}}) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo]], which is another meantone (actually, a [[flattone]]) system. | If {{colored note|red|C♭}} and {{colored note|blue|B♯}} (and {{colored note|red|F♭}} / {{colored note|blue|E♯}}) are instead forced to be distinct, but the requirement that all notes be equally spaced is maintained, then we end up with a ''completely'' unambiguous red-note/blue-note notation for [[45edo]], which is another meantone (actually, a [[flattone]]) system. | ||
== Approximation to JI == | |||
[[File:43ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 43edo]] | |||
=== Interval mappings === | |||
{{Q-odd-limit intervals|43}} | |||
=== Zeta peak index === | |||
{| class="wikitable center-all" | |||
|- | |||
! colspan="3" | Tuning | |||
! colspan="3" | Strength | |||
! colspan="2" | Closest edo | |||
! colspan="2" | Integer limit | |||
|- | |||
! ZPI | |||
! Steps per octave | |||
! Step size (cents) | |||
! Height | |||
! Integral | |||
! Gap | |||
! Edo | |||
! Octave (cents) | |||
! Consistent | |||
! Distinct | |||
|- | |||
| [[196zpi]] | |||
| 43.0264994477693 | |||
| 27.8897892090130 | |||
| 6.166118 | |||
| 1.035628 | |||
| 15.545919 | |||
| 43edo | |||
| 1199.26093598756 | |||
| 8 | |||
| 8 | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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|} | |} | ||
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave | ||
== Detemperaments == | == Detemperaments == | ||