43edo: Difference between revisions
ArrowHead294 (talk | contribs) |
Partial revert for replacing the simpler comma bases we meticulously worked out with more complex ones Tag: Undo |
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For people who aren't colorblind, a red-note/blue-note system (similar to that proposed for [[36edo]]) can be used. (Note that this is different than Kite's [[color notation]].) Now we have the following sequence of notes, each separated by one meride: '''A''', '''<span style="background-color: #eda2a2; color: #ff0000;">A</span>''', '''<span style="background-color: #6ee8e8; color: #071ac7;">A♯</span>''', '''A♯''', '''B♭''', '''<span style="background-color: #eda2a2; color: #ff0000;">B♭</span>''', '''<span style="background-color: #6ee8e8; color: #071ac7;">B</span>''', '''B'''. (Note that red sharps or blue flats are enharmonically equivalent to simpler notes: '''<span style="background-color: #eda2a2; color: #ff0000;">A♯</span>''' is enharmonic to B♭, and '''<span style="background-color: #6ee8e8; color: #071ac7;">B♭</span>''' is actually just A♯). | For people who aren't colorblind, a red-note/blue-note system (similar to that proposed for [[36edo]]) can be used. (Note that this is different than Kite's [[color notation]].) Now we have the following sequence of notes, each separated by one meride: '''A''', '''<span style="background-color: #eda2a2; color: #ff0000;">A</span>''', '''<span style="background-color: #6ee8e8; color: #071ac7;">A♯</span>''', '''A♯''', '''B♭''', '''<span style="background-color: #eda2a2; color: #ff0000;">B♭</span>''', '''<span style="background-color: #6ee8e8; color: #071ac7;">B</span>''', '''B'''. (Note that red sharps or blue flats are enharmonically equivalent to simpler notes: '''<span style="background-color: #eda2a2; color: #ff0000;">A♯</span>''' is enharmonic to B♭, and '''<span style="background-color: #6ee8e8; color: #071ac7;">B♭</span>''' is actually just A♯). | ||
The diatonic semitone is four steps, so for the region between B and C, we can use: | The diatonic semitone is four steps, so for the region between B and C, we can use: B, C♭, '''<span style="background-color: #6ee8e8; color: #071ac7;">B♯</span>''' / '''<span style="background-color: #eda2a2; color: #ff0000;">C♭</span>''' (they are enharmonic equivalents), B♯, and C. All of the notes in 43edo therefore have unambiguous names except for '''<span style="background-color: #6ee8e8; color: #071ac7;">B♯</span>''' / '''<span style="background-color: #eda2a2; color: #ff0000;">C♭</span>''', and '''<span style="background-color: #6ee8e8; color: #071ac7;">E♯</span>''' / '''<span style="background-color: #eda2a2; color: #ff0000;">F♭</span>'''. It might also be possible to design special symbols for those two notes (resembling a cross between the letters B and C in the former case, and E and F in the latter). | ||
If '''<span style="background-color: #eda2a2; color: #ff0000;">C♭</span>''' and '''<span style="background-color: #6ee8e8; color: #071ac7;">B♯</span>''' (and '''<span style="background-color: #eda2a2; color: #ff0000;">F♭</span>''' / '''<span style="background-color: #6ee8e8; color: #071ac7;">E♯</span>''') 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 '''<span style="background-color: #eda2a2; color: #ff0000;">C♭</span>''' and '''<span style="background-color: #6ee8e8; color: #071ac7;">B♯</span>''' (and '''<span style="background-color: #eda2a2; color: #ff0000;">F♭</span>''' / '''<span style="background-color: #6ee8e8; color: #071ac7;">E♯</span>''') 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. | ||
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|- | |- | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 81/80, 126/125, | | 81/80, 126/125, 17280/16807 | ||
| [{{val| 43 68 100 121 }}] | | [{{val| 43 68 100 121 }}] | ||
| | | -0.51 | ||
| 2.11 | | 2.11 | ||
| 7.56 | | 7.56 | ||
| Line 522: | Line 522: | ||
| 81/80, 99/98, 126/125, 864/847 | | 81/80, 99/98, 126/125, 864/847 | ||
| [{{val| 43 68 100 121 149 }}] | | [{{val| 43 68 100 121 149 }}] | ||
| | | -0.80 | ||
| 1.98 | | 1.98 | ||
| 7.08 | | 7.08 | ||
| Line 529: | Line 529: | ||
| 78/77, 81/80, 99/98, 126/125, 144/143 | | 78/77, 81/80, 99/98, 126/125, 144/143 | ||
| [{{val| 43 68 100 121 149 159 }}] | | [{{val| 43 68 100 121 149 159 }}] | ||
| | | -0.52 | ||
| 1.91 | | 1.91 | ||
| 6.85 | | 6.85 | ||
| Line 536: | Line 536: | ||
| 78/77, 81/80, 99/98, 120/119, 126/125, 144/143 | | 78/77, 81/80, 99/98, 120/119, 126/125, 144/143 | ||
| [{{val| 43 68 100 121 149 159 176 }}] | | [{{val| 43 68 100 121 149 159 176 }}] | ||
| | | -0.52 | ||
| 1.81 | | 1.81 | ||
| 6.49 | | 6.49 | ||