Accidentals for 5-Limit JI

The following table shows the accidentals for the 5-limit Just Intonation (JI) system.

Show all columns

_
_
_
xStepxAlter.xCentsxsagxmsagxhe
000
+1+11/100+22
−1−11/100−22
+2+43/200+43
−2−43/200−43
+4+1/4+50
−4−1/4−50
+3+13/40+65
−3−13/40−65
+5+71/200+71
−5−71/200−71
+6+23/50+92
−6−23/50−92
+7+57/100+114
−7−57/100−114
+8+17/25+136
−8−17/25−136
+9+157/200+157
−9−157/200−157
+11+41/50+164
−11−41/50−164
+10+179/200+179
−10−179/200−179
+12+37/40+185
−12−37/40−185
+13+207/200+207
−13−207/200−207
+14+57/50+228
−14−57/50−228
+15+5/4+250
−15−5/4−250
+16+271/200+271
−16−271/200−271
+17+293/200+293
−17−293/200−293
sag — Sagittal notation

Sagittal (“arrow-like”) symbols after George D. Secor and David C. Keenan, sagittal.org. sag is the "Pure Sagittal notation" in contrast to msag. It uses one distinct symbol for each alteration up to the whole tone. For higher alterations, two symbols are combined.

msag — Mixed Sagittal notation

Sagittal (“arrow-like”) symbols after George D. Secor and David C. Keenan, sagittal.org, and Standard sharp / flat symbols using the large double-sharp symbol. The symbols are placed either alone or a Standard symbol is combined with a Sagittal symbol.

he — Helmholtz-Ellis notation

Extended Helmholtz-Ellis JI Pitch Notation (HEJI) symbols after Marc Sabat and Wolfgang von Schweinitz, www.plainsound.org.