Alternative symbols for ups and downs notation: Difference between revisions

== Usage guide for each sharpness value ==

{{See also| Sharpness }}

A usage guide for edos of sharpness value below 8 will be provided here.  

=== Sharp-1 ===

Sharp-1 edos have a sharp that raises 1 step. Edos of this category are {{EDOs| 5, 12, 19, 26, and 33 }}.

Traditional notation can be used since an up is exactly equivalent to a sharp.

{{Sharpness-sharp1}}

=== Sharp-2 ===

Sharp-2 edos have a sharp that raises 2 steps. Edos of this category are {{EDOs| 10, 17, 24, 31, 38, 45, and 52 }}.

As are commonly seen in 24edo and 31edo, semisharps and semiflats could be used for a substitution of the tilde.  

{{Sharpness-sharp2}}

=== Sharp-3 ===

Sharp-3 edos have a sharp that raises 3 steps. Edos of this category are {{EDOs| 8, 15, 22, 29, 36, 43, 50, 57, and 64 }}.

This is where you ''really'' want to use ups and downs.  

{{Sharpness-sharp3}}

=== Sharp-4 ===

Sharp-4 edos have a sharp that raises 4 steps. Edos of this category are {{EDOs| 13, 20, 27, 34, 41, 48, 55, 62, 69, and 76 }}.

{{Sharpness-sharp4}}

=== Sharp-5 ===

Sharp-5 edos have a sharp that raises 5 steps. Edos of this category are {{EDOs| 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, and 88 }}.

{{Sharpness-sharp5}}

=== Sharp-6 ===

Sharp-6 edos have a sharp that raises 6 steps. Edos of this category are {{EDOs| 30, 37, 44, 51, 58, 65, 72, 79, 86, 93, and 100 }}.

{{Sharpness-sharp6}}

=== Sharp-7 ===

Sharp-7 edos have a sharp that raises 7 steps. Edos of this category are {{EDOs| 42, 49, 56, 63, 70, 77, 84, 91, 98, and 105 }}.  

{{Sharpness-sharp7}}

=== Sharp-8 ===

Sharp-8 edos have a sharp that raises 8 steps. Edos of this category are {{EDOs| 54, 61, 68, 75, 82, 89, 96, 103, 110, and 117 }}.

{{Sharpness-sharp8}}

=== Higher sharpness values ===

Provided with more stacks of arrows, or the ability to attach arrows to demi- and sesqui-sharps and flats, edos of higher sharpness value can be notated in the same method as above. For example, sharp-10 edos ({{EDOs| 71, 78, 85, 92, 99, 106, 113, 120, 127, 134, and 141 }}) can be notated as follows:

{{Sharpness-sharp10-qt1}}

{{w|SMuFL}} curently supplies [https://w3c.github.io/smufl/latest/tables/extended-stein-zimmermann-accidentals.html extended Stein-Zimmermann accidentals (U+E290–U+E29F)], which contains demi- and sesqui-sharps and flats with a single arrow.  

The rest will be discussed below.

=== Flat-1 ===

Flat-1 edos have a sharp that ''lowers'' 1 step. Edos of this category are {{EDOs| 9, 16, 23, and 30 }}. To have a sharp that actually lowers the pitch is logical for these edos, yet counter-intuitive. Since none of these edos' fifths will generate a normal [[diatonic scale]], it makes the most sense to notate each of them as a [[subset notation|subset of a larger edo]].  

{{Sharpness-flat1}}

=== Flat-2 ===

Flat-2 edos (virtually [[11edo]] only) have a sharp that ''lowers'' 2 steps. So besides the special flavor of the sharps and flats, there are also semisharps and semiflats to fill up the spaces between. It makes the most sense to notate them as subsets.  

{{Sharpness-flat2}}

=== Zero ===

{{Sharpness-0}}