Oak Blood Three

Joined 8 May 2019

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 I'm mostly interested in just intonations (and things approximating them, and alterations of them to accommodate [[Wikipedia:inharmonicity|inharmonicity]]), but not exclusively.
-Here is a [[Well temperament]] I devised and [https://docs.google.com/spreadsheets/d/1_jBmq1HOHUjMxPgUsWaLLh8iIVhWlZs2muKwljPmUMc/copy the spreadsheet used to calculate it.]
+In fact, here are some [[Well temperament|Well temperaments]] I devised and [https://docs.google.com/spreadsheets/d/1_jBmq1HOHUjMxPgUsWaLLh8iIVhWlZs2muKwljPmUMc/copy the spreadsheet used to calculate them.]
- <nowiki>! Cosine C Well.scl
-  !
-  Kloba's Cosine Well C
-  !
-.65884
-.61384
-.56884
-.22768
-.52384
-.22768
-.56884
-.61384
-.65884
-.00000
-.70384
-/1</nowiki>
+They are two related tunings from a family of 12-tone "almost-equal" temperaments, where fifths squeeze and stretch sinusoidally as you go around the circle.
+The first variation is symmetrical about D, with the narrowest fifths (696.05¢) at G–D and D-A and the widest fifths (703.95¢) at C♯–G♯ and G♯–D♯.  The amount of stretch is selected to make the major third from C–E just (5/4). This leaves the major third at F♯–A♯ very wide at 407.82¢ or 5.87¢ wider than Pythagorean.
+ ! Cosine D Well C-E Just.scl
+   !
+   Kloba's Cosine Well D-Centered
+   !
+.21
+.16
+.11
+.31
+.06
+.31
+.11
+.16
+.21
+.00
+.26
+/1
+The second variation is also symmetrical about D, with the amount of stretch selected to make the major third from F♯–A♯ Pythagorean (81/64). The narrowest fifths are 697.74¢ (at G–D and D-A) and the widest fifths are 702.26¢ (at C♯–G♯ and G♯–D♯). This leaves the major third from C–E a little wide at 392.18¢ or 5.87¢ wider than just.
+ ! Cosine D Well F#-A# Pyth.scl
+   !
+   Kloba's Cosine Well D-Centered
+   !
+.83
+.09
+.35
+.18
+.60
+.18
+.35
+.09
+.83
+.00
+.58
+/1
 [[/sandbox]]