A solution for representing 5-based rhythmic notation
In Western music notation, note durations are multiples and divisions of 2: whole, half, quarter, etc. We have a simple syntax - the dot - for extending the duration of a note or rest by 1/2 the duration of itself. Using just our regular note types and the dot, we can describe notes with durations in multiples of 1, 2, 3, 4, 6, 8. By using a “double-dot”, we can describe a note with a duration of 7 rhythmic subdivisions.
Conspicuously absent in our notation system is a succinct way to represent a note (or rest) that has a duration of 5 rhythmic subdivisions. The composer is expected to use a laminate of two notes tied together, e.g. in couples of 3 + 2, or 4 + 1. In music that has a 5-fold meter or a time signature in a multiple of five (like 5/4 or 10/8), this is neither practical nor appropriate.
To represent a note that has a duration of 5 subdivisions, I propose using the 5-pointed star. It uses the same syntax as a dot.
A starred note or rest is extended in duration by one quarter of itself. Simply put, it turns a duration of 4 into a duration of 5.
Suitable for use in any notation program that allows placement of graphic images. This is a high-resolution PNG far larger than is necessary for perfect aliasing at even an extremely high resolution.
Suitable for use in any notation program that allows placement of vector shapes. This vetor shape will resize to any dimensions and will look perfect at any size, no matter what the resolution.
The black 5-pointed star is a common symbol named "BLACK STAR" already included in many commercial fonts. Its Unicode address is U+2605.
Here are three different ways to render measure 21 from Lovers, the 7th movement of Opus Arcana, whose beginning and end sections are in a 10/8 time signature. The first two examples split the 5-beat rest and note into separate entities using ties, whereas the third uses the simplified star syntax.
In order for syncopated rhythm to be legible, you do not use a dotted note to extend a note duration across a meter boundary. For the same reason, you must never use a starred note instead of a tied note for syncopation.
Don't do this:
Unlike a dot, stars can align with staff lines, and are not moved up to the nearest space. When the star appears beside a note head on a line, the star intersects the line across its two lower concave points. The staff line bisects the star at its narrowest point, and the actual center of the star is slightly above the line.
When the star appears beside a note head on a space, the star occupies the same vertical span as the note head. The top point touches the line above, and the bottom two points touch the line below.
Chords require multiple stars, the same as dots. Stars should all be aligned vertically. A chord may have a mix of stars aligned with lines and spaces, as long as they are spaced apart by at least one line-height. Stars must never overlap.
Stars align with leger lines the same way as they do on the staff
Starred whole rest is aligned with the space
Starred half rest is aligned with the space
A star beside a quarter rest is aligned with a line
Starred eighth rest is aligned with the line
Starred sixteenth rest is aligned with the line
Never stagger stars on lines and spaces like this. Stars beside a chord must be vertically aligned.
If the star beside a note on a line would overlap with another star, move it up to the space above. If that occupies the same place as another star, then the one star will suffice for both notes. This means clustered chords will have stars in the spaces, but not on lines.
Since the star for the topmost note would overlap the star below it, it is moved up to the next space.
Help is needed to create open-source plugins for all the major music notation software packages. If you have expertise in creating software plugins for these apps, please contribute!