Alterations in 48-EDO

The following table shows the alterations in the 48-tone equal-temperament system (48-EDO, eighth-tone system) up to the five-quarters-tone, i.e. 10 eighth-tone degrees.

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xDegreexAlter.xCentsxSfx DexSfx Enxsagxmsag
1   21/450isehsaqf
1 −2−1/4−50esihfaqs
1   63/4150isisehssaqf
1 −6−3/4−150esesihffaqs
81200isisss x
sag – Sagittal notation
4 × 2 Spartan Sagittal single-shaft and multi-shaft symbols (U+E30A ... U+E335) and 4 × 2 Trojan Sagittal extension symbols (U+E370 ... U+E387) after George D. Secor and David C. Keenan. This is the "Pure Sagittal notation" in contrast to msag. It uses one distinct symbol for each degree up to the whole tone. For the degrees up to the five-quarters-tone, two symbols are combined.
msag – Mixed Sagittal notation
2 × 2 Sagittal symbols (U+E370, U+E371, U+E30A, U+E30B) for quarter- and eighth-tones, standard sharp / flat symbols (U+E260 - U+E262, U+E264), and large double-sharp symbol (U+E47D). All symbols are placed either alone or a standard symbol is combined with a Sagittal symbol.
  1. abcdIn the notation style msag, the one-quarter-tone and three-quarters-tone degrees have two distinct, enharmonically equivalent accidentals. Therefore, Ekmelily defines two note name suffixes each, e.g. qs and saqf (English) or ih and iseh (German). However, LilyPond does not support different accidentals for the same alteration. As a provisional solution, the combined note names (e.g. -saqf or -iseh) have slightly differing alterations and are therefore not suitable for transposition and MIDI output.