173zpi: Difference between revisions

Revision as of 07:14, 13 April 2026 view source Pizzabagel shef (talk \| contribs) 27 edits Removed comment about 39edo'a relative error for brevity Tags: Visual edit Mobile edit Mobile web edit ← Older edit		Latest revision as of 06:06, 28 April 2026 view source Pizzabagel shef (talk \| contribs) 27 edits Switched wording around to make clearer emphases, no new information yet. Tag: Visual edit
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	== Theory ==		== Theory ==
	173zpi is the strongest [[Zeta peak index\|zeta peak]] within ±0.5 [[EDO\|divisions]] of [[39edo]], and serves as a [[Stretched and compressed tuning\|compressed-octave]] version thereof ([[2/1]] ≈ 1196.204¢), narrowing the octave by ~3.796¢. 39edo, ~~being~~ a [[zeta valley edo\|zeta ''valley'' EDO]]~~, poorly approximates [[Just intonation]] relative to its size~~, so using 173zpi instead—the strongest zeta ''peak'' within 39edo's vicinity—is a logical way of correcting for this, if desired.		173zpi is the strongest [[Zeta peak index\|zeta peak]] within ±0.5 [[EDO\|divisions]] of [[39edo]], and serves as a [[Stretched and compressed tuning\|compressed-octave]] version thereof ([[2/1]] ≈ 1196.204¢), narrowing the octave by ~3.796¢. 39edo approximates [[Just intonation]] rather poorly for its size, enough to designate it as a [[zeta valley edo\|zeta ''valley'' EDO]], so using 173zpi instead—the strongest zeta ''peak'' within 39edo's vicinity—is a logical way of correcting for this, if desired.