17edo: Difference between revisions

Godtone (talk | contribs)
m Regular temperament properties: add fiventeen (afaik the most accurate subgroup temperament present in 17 EDO)
m Use t instead of + for half-sharp
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| [[22/21]], [[25/24]], [[26/25]], [[28/27]], [[33/32]], [[24/23]]
| [[22/21]], [[25/24]], [[26/25]], [[28/27]], [[33/32]], [[24/23]]
| Minor 2nd<br>(Semiaugmented 1sn)
| Minor 2nd<br>(Semiaugmented 1sn)
| Eb<br>(D+)
| Eb<br>(Dt)
| up unison, <br>minor 2nd
| up unison, <br>minor 2nd
| ^1, m2
| ^1, m2
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| [[11/9]], [[16/13]], [[28/23]]
| [[11/9]], [[16/13]], [[28/23]]
| Diminished 4th<br>(Neutral 3rd)
| Diminished 4th<br>(Neutral 3rd)
| Gb<br>(F+)
| Gb<br>(Ft)
| mid 3rd
| mid 3rd
| ~3
| ~3
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| [[11/8]], [[18/13]], [[32/23]]
| [[11/8]], [[18/13]], [[32/23]]
| Diminished 5th<br>(Semiaugmented 4th)
| Diminished 5th<br>(Semiaugmented 4th)
| Ab<br>(G+)
| Ab<br>(Gt)
| mid 4th, <br>diminished 5th
| mid 4th, <br>diminished 5th
| ~4, d5
| ~4, d5
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| [[25/16]], [[14/9]], [[11/7]], [[52/33]], [[36/23]]
| [[25/16]], [[14/9]], [[11/7]], [[52/33]], [[36/23]]
| Minor 6th<br>(Semiaugmented 5th)
| Minor 6th<br>(Semiaugmented 5th)
| Bb<br>(A+)
| Bb<br>(At)
| minor 6th
| minor 6th
| m6
| m6
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| [[11/6]], [[24/13]], [[13/7]], [[46/25]]
| [[11/6]], [[24/13]], [[13/7]], [[46/25]]
| Diminished 8ve<br>(Neutral 7th)
| Diminished 8ve<br>(Neutral 7th)
| Db<br>(C+)
| Db<br>(Ct)
| mid 7th
| mid 7th
| ~7
| ~7
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<nowiki>*</nowiki> Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.  
<nowiki>*</nowiki> Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.  


† Half-sharps and half-flats (denoted "+" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edosteps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.
† Half-sharps and half-flats (denoted "t" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edosteps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.


=== Interval quality and chord names in color notation ===
=== Interval quality and chord names in color notation ===