Notation of microtonality - the basic

Cents

Divide a perfect 2:1 octave into 1200 equal steps (in logarithm to be precise), 1 step is 1 cent. In other words, in equal temperament, 1 cent = 1/100 of a semitone. -50 is a quarter flat, vice versa. This website helps you to calculate and detail explains the maths. 

Using cent to notate microtonality is quite rare. The recognized composer who uses this method, I only can find one, is Johnny Reinhard (Secor & Keenan, n.d.). But I cannot find his score at all.

Quarter Tone Notation

Skinner's (2022) research on quarter-tone

Skinner's style is the most popular today.
Claude Vivier used arrows pointing up/down for notation, but I returned to the library. (no pic)

Finer Microtone Notation
Ben Johnston further divided the notes over quarter tone. Here his notation
Gann (n.d.)

Gann, K. (n.d). How to Use Ben Johnston's Just Intonation Notation. [online]. Available at: https://www.kylegann.com/BJNotation.html [Accessd 19th Jan, 2022]

Skinner, M (2022). Toward a Quarter-Tone Syntax: Selected Analyses of Works by Blackwood, Hába, Ives, and Wyschnegradsky. [online]. Available at: https://www.tierceron.com/diss/ [Accessd 19th Jan, 2022]

Secor, G. D. & Keenan, D. C. (n.d.). Sagittal A Microtonal Notation System. [online]. Available at: https://en.xen.wiki/images/9/90/Sagittal.pdf [Accessd 19th Jan, 2022]

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