Kite's thoughts on the arrows of ups and down notation

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Revision as of 03:50, 11 November 2023 by TallKite (talk | contribs) (added "inflection" to refer to both arrows and slants)
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In N-edo, "arrow" means 1\N, and is thus a synonym for edostep (but see the exceptions and extensions below). Thus in 22edo, 5/4 is one arrow lower than 9/7, and two arrows lower than 4/3.

"Arrow" refers to the up-arrows and down-arrows (^ and v) used in ups and downs notation to raise or lower by one edostep. Sometimes the name of a notation symbol comes to mean that which the symbol indicates. Just as "bar" (the vertical line that separates measures) has come to mean "measure", "arrow" has gained a new meaning.

When applied to sharp-1 edos like 19edo, "arrow" is somewhat counter-intuitive, because 19edo doesn't use ups and downs. Nevertheless, by analogy with other edos, in a 19edo context "arrow" means 1\19.

In some very large edos (e.g. 205edo#Notation), an up or down may indicate multiple edosteps, and one edostep may be indicated by a lift or a drop (written / or \). In such edos, "arrow" refers to multiple edosteps and "slant" refers to a single edostep. Arrows and slants are called inflections.

In pergen notations, the terms arrows, slants and inflections are used similarly. Thus one arrow in Triyo equals a tempered 81/80.

These uses of the terms arrow, slant and inflection were coined by Kite Giedraitis.