23edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602808732 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602809014 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 20:35:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602809014</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Like 16edo, 23edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first is with major wider than minor, and sharp higher than flat, to preserve melodic contour. The second way is with major narrower than minor, and sharp lower than flat, to preserve interval arithmetic and chord names. | Like 16edo, 23edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first is with major wider than minor, and sharp higher than flat, to preserve melodic contour. The second way is with major narrower than minor, and sharp lower than flat, to preserve interval arithmetic and chord names. | ||
23edo can be notated with conventional notation, including the staff, note names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5. | |||
The second approach preserves the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 23edo "on the fly". | |||
||= <span style="color: #660000;">[[Degree]]</span> ||= [[Cent]]s ||= Approximate | ||= <span style="color: #660000;">[[Degree]]</span> ||= [[Cent]]s ||= Approximate | ||
Ratios* ||||= | Ratios* ||||= Major wider | ||
than minor ||||= | than minor ||||= Major narrower | ||
than minor ||= Armodue | than minor ||= Armodue | ||
Notation || Notes || | Notation || Notes || | ||
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<br /> | <br /> | ||
Like 16edo, 23edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first is with major wider than minor, and sharp higher than flat, to preserve melodic contour. The second way is with major narrower than minor, and sharp lower than flat, to preserve interval arithmetic and chord names.<br /> | Like 16edo, 23edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first is with major wider than minor, and sharp higher than flat, to preserve melodic contour. The second way is with major narrower than minor, and sharp lower than flat, to preserve interval arithmetic and chord names.<br /> | ||
<br /> | |||
23edo can be notated with conventional notation, including the staff, note names, relative notation, etc. in two ways. The first preserves the <u>melodic</u> meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.<br /> | |||
<br /> | |||
The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 23edo &quot;on the fly&quot;.<br /> | |||
<br /> | |||
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Ratios*<br /> | Ratios*<br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: center;"> | <td colspan="2" style="text-align: center;">Major wider<br /> | ||
than minor<br /> | than minor<br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: center;"> | <td colspan="2" style="text-align: center;">Major narrower<br /> | ||
than minor<br /> | than minor<br /> | ||
</td> | </td> | ||