42edo: Difference between revisions

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Assuming the natural notes form a [[chain of fifths]], the major 2nd is 8 edosteps and the minor 2nd is only one. The naturals create a [[5edo]]-like scale, with two of the notes inflected by a [[comma]]-sized edostep:

D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D

D * * * * * * * E F * * * * * * * G * * * * * * * A * * * * * * * B C * * * * * * * D

D♯ is next to E. The notation requires ups and downs with three arrows, and if chords are to be spelled correctly four or more arrows may be required in certain cases. For example, a {{dash|1/1, 5/4, 3/2, 9/5|med}} chord with a root on the ~~key or fret~~ midway between G and A would be written either as {{dash|v3G♯–v5B♯, v3D♯, vF♯|med}} or as {{dash|^3A♭, ^C, ^3E♭, ^5G♭}}. This is a dud dup-seven chord, written either as v3G♯vv,^^7 or as ^3A♭vv,^^7.

D♯ is next to E. The notation requires ups and downs with three arrows, and if chords are to be spelled correctly four or more arrows may be required in certain cases. For example, a {{dash|1/1, 5/4, 3/2, 9/5|med}} chord with a root on the edostep midway between G and A would be written either as {{dash|v3G♯–v5B♯, v3D♯, vF♯|med}} or as {{dash|^3A♭, ^C, ^3E♭, ^5G♭}}. This is a dud dup-seven chord, written either as v3G♯vv,^^7 or as ^3A♭vv,^^7.

In this table, dup is also quidsharp, trup is also quudsharp, trudsharp is also quup, dudsharp is also quip, etc.

Alternatively, sharps and flats with arrows borrowed from [[Helmholtz–Ellis notation]] can be used:

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 Assuming the natural notes form a [[chain of fifths]], the major 2nd is 8 edosteps and the minor 2nd is only one. The naturals create a [[5edo]]-like scale, with two of the notes inflected by a [[comma]]-sized edostep:
-D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D
+D * * * * * * * E F * * * * * * * G * * * * * * * A * * * * * * * B C * * * * * * * D
-D♯ is next to E. The notation requires ups and downs with three arrows, and if chords are to be spelled correctly four or more arrows may be required in certain cases. For example, a {{dash|1/1, 5/4, 3/2, 9/5|med}} chord with a root on the key or fret midway between G and A would be written either as {{dash|v<sup>3</sup>G♯–v<sup>5</sup>B♯, v<sup>3</sup>D♯, vF♯|med}} or as {{dash|^<sup>3</sup>A♭, ^C, ^<sup>3</sup>E♭, ^<sup>5</sup>G♭}}. This is a dud dup-seven chord, written either as v<sup>3</sup>G♯vv,^^7 or as ^<sup>3</sup>A♭vv,^^7.
+D♯ is next to E. The notation requires ups and downs with three arrows, and if chords are to be spelled correctly four or more arrows may be required in certain cases. For example, a {{dash|1/1, 5/4, 3/2, 9/5|med}} chord with a root on the edostep midway between G and A would be written either as {{dash|v<sup>3</sup>G♯–v<sup>5</sup>B♯, v<sup>3</sup>D♯, vF♯|med}} or as {{dash|^<sup>3</sup>A♭, ^C, ^<sup>3</sup>E♭, ^<sup>5</sup>G♭}}. This is a dud dup-seven chord, written either as v<sup>3</sup>G♯vv,^^7 or as ^<sup>3</sup>A♭vv,^^7.
+In this table, dup is also quidsharp, trup is also quudsharp, trudsharp is also quup, dudsharp is also quip, etc.
+{{sharpness-sharp7a}}
 Alternatively, sharps and flats with arrows borrowed from [[Helmholtz–Ellis notation]] can be used: