Kite's ups and downs notation: Difference between revisions
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A core principle of ups and downs notation is that '''interval arithmetic is <u>always</u> preserved'''. Ups and downs are just added in: | A core principle of ups and downs notation is that '''interval arithmetic is <u>always</u> preserved'''. Ups and downs are just added in: | ||
{| class="wikitable" | {| class="wikitable" style="text-align:center;" | ||
|+ | |+ | ||
! | ! | ||
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|P8 | |P8 | ||
|} | |} | ||
There are two ways to notate 13b-edo: with sharp lowering the pitch, and major/aug narrower than minor/dim, or with sharp raising the pitch, and major/aug wider than minor/dim | There are two ways to notate 13b-edo: with sharp lowering the pitch, and major/aug narrower than minor/dim, or with sharp raising the pitch, and major/aug wider than minor/dim. | ||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
| rowspan="4" |'''[[13-edo|13b-edo]]''' | | rowspan="4" |'''[[13-edo|13b-edo]]''' | ||
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| M3 | | M3 | ||
| P4 | | P4 | ||
| ^4/d5 | | ^4/~4/d5 | ||
| A4/v5 | | A4/v5/~5 | ||
| P5 | | P5 | ||
| m6 | | m6 | ||
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| M3/P4 | | M3/P4 | ||
| ^4 | | ^4 | ||
| | |~4/~5 | ||
| v5 | | v5 | ||
| P5/m6 | | P5/m6 | ||
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| ^M3/v4 | | ^M3/v4 | ||
| P4 | | P4 | ||
| ^4 | | ^4/~4 | ||
| A4/d5 | | A4/d5 | ||
| v5 | | v5/~5 | ||
| P5 | | P5 | ||
| etc. | | etc. | ||
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This table shows how altering the 3rd or the 5th affects the name of the triad (+ and o are conventional abbreviations for aug and dim). | This table shows how altering the 3rd or the 5th affects the name of the triad (+ and o are conventional abbreviations for aug and dim). | ||
{| class="wikitable" | {| class="wikitable" style="text-align:center;" | ||
|+ | |+ | ||
! | ! | ||
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In the table below, if a chord is '''bolded''', the comma must be spoken as "add". In non-bolded names, the comma can be omitted when writing the chord, although that might make the chord name less readable. | In the table below, if a chord is '''bolded''', the comma must be spoken as "add". In non-bolded names, the comma can be omitted when writing the chord, although that might make the chord name less readable. | ||
{| class="wikitable" | {| class="wikitable" style="text-align:center;" | ||
|+ | |+ | ||
! | ! | ||
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''Question: How to name 6/9 chords?'' | ''Question: How to name 6/9 chords?'' | ||
{| class="wikitable" | {| class="wikitable" style="text-align:center;" | ||
|+ | |+ | ||
! | ! |