Sensamagic clan: Difference between revisions

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Pycnic is related to [[triton]], but its mapping differs for the [[5/1|5th harmonic]]. It is also related to [[liese]], from which its mapping differs for the [[7/1|7th harmonic]].

The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being ~~a cent~~ sharp of it in the ~~POTE~~ tuning for instance. Pycnic has [[mos]] of size 9, 11, 13, 15, 17… which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.

The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being two cents sharp of it in the CWE tuning for instance. Pycnic has [[mos]] of size 9, 11, 13, 15, 17… which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.

[[Subgroup]]: 2.3.5.7

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== Superenneadecal ==

Superenneadecal is a cousin of [[enneadecal]] but sharper fifth is used to temper 245/243.

Superenneadecal is a cousin of [[enneadecal]] but a sharper fifth is used to temper out 245/243.

[[Subgroup]]: 2.3.5.7

@@ Line 163: / Line 163: @@
 Pycnic is related to [[triton]], but its mapping differs for the [[5/1|5th harmonic]]. It is also related to [[liese]], from which its mapping differs for the [[7/1|7th harmonic]].
-The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has [[mos]] of size 9, 11, 13, 15, 17… which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.
+The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being two cents sharp of it in the CWE tuning for instance. Pycnic has [[mos]] of size 9, 11, 13, 15, 17… which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.
 [[Subgroup]]: 2.3.5.7
@@ Line 286: / Line 286: @@
 == Superenneadecal ==
-Superenneadecal is a cousin of [[enneadecal]] but sharper fifth is used to temper 245/243.
+Superenneadecal is a cousin of [[enneadecal]] but a sharper fifth is used to temper out 245/243.
 [[Subgroup]]: 2.3.5.7