Alterations in 31-EDO

The following table shows the alterations in the 31-tone equal-temperament system (31-EDO) with 5 degrees.

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xDegreexAlter.xCentsxSfx DexSfx Enxstdxsagxmsagxstzxsth
16/3138 2231i 
−1−6/31−38 2231e h 
212/3177 1331iss
−2−12/31−77 1331esf
318/31116 431isi 
−3−18/31−116 431ese 
424/31154 2631isisss x
−4−24/31−154 2631esesff
530/31193 1731isisi 
−5−30/31−193 1731esese 
std – Standard Notation
Arrow after Gould (U+E27A, U+E27B) for 6/31 tones, and standard sharp / flat symbols (U+E260 - U+E264). All symbols are placed either alone or a standard symbol is combined with an arrow.
sag – Sagittal Notation
4 × 2 Spartan Sagittal single-shaft and multi-shaft symbols after George D. Secor and David C. Keenan (U+E30A ... U+E335). This is the "Pure Sagittal notation" in contrast to msag. It uses one distinct symbol for each degree up to the 24/31 tone. For the 30/31 tone degree, two symbols are combined.
msag – Mixed Sagittal Notation
1 × 2 Spartan Sagittal single-shaft symbols (U+E30A, U+E30B) for 6/31 tones, standard sharp / flat symbols (U+E260 - U+E262, U+E264), and large double-sharp symbol (U+E47D). They are placed like std.
stz – Stein / Zimmermann Notation
Fractional sharp symbols and quarter-tone flat symbol after Richard Stein (U+E282 - U+E284), three-quarters-tone flat symbol after Bernd A. Zimmerman (U+E285), and standard sharp / flat symbols (U+E260 - U+E264). They are placed like sag.
Note: The notation uses the narrow shape of the reversed flat (U+E284, U+E285).
sth – Stein / Half flat Notation
Fractional sharp symbols after Richard Stein (U+E282, U+E283), half flat symbols (U+F612, U+F613), and standard sharp / flat symbols (U+E260 - U+E264). They are placed like sag.
Note: The half flat symbols are defined as “Optional glyphs” in the Ekmelos Font since they are not included in SMuFL.