Septimal ruthenia: Difference between revisions

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'''Septimal ruthenia''', {{Monzo|-263 88 0 44}}, is a comma which is defined as the difference between a stack of fourty-four [[64/63]]'s and the octave.

'''Septimal ruthenia''', {{Monzo|-263 88 0 44}}, is an unnoticeable comma of about 0.38 cents which is defined as the difference between a stack of fourty-four [[64/63]]'s and the octave.

It's called "ruthenia" because of the 44th element, ruthenium, following the convention of naming certain fractional-octave temperaments after chemical elements.

It's called "ruthenia" because of the 44th element, ruthenium, following the convention of naming certain fractional-octave temperaments after chemical elements. For EDOs N up to ~16000, it is tempered if and only if 44 divides N.The relationship between 64/63 and one step of 44edo is highly precise, even up many thousands of EDOs.

For EDOs N up to ~16000, it is tempered if and only if 44 divides N.The relationship between 64/63 and one step of 44edo is highly precise, even up many thousands of EDOs.

It's full expression as a number is 14824640687984246187061099152503501809016771517414462285446734604193473168610561/14821387422376473014217086081112052205218558037201992197050570753012880593911808.

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[[Category:7-limit]]

[[Category:Unnoticeable commas]]

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-'''Septimal ruthenia''', {{Monzo|-263 88 0 44}}, is a comma which is defined as the difference between a stack of fourty-four [[64/63]]'s and the octave.
+'''Septimal ruthenia''', {{Monzo|-263 88 0 44}}, is an unnoticeable comma of about 0.38 cents which is defined as the difference between a stack of fourty-four [[64/63]]'s and the octave.
-It's called "ruthenia" because of the 44th element, ruthenium, following the convention of naming certain fractional-octave temperaments after chemical elements.
+It's called "ruthenia" because of the 44th element, ruthenium, following the convention of naming certain fractional-octave temperaments after chemical elements. For EDOs N up to ~16000, it is tempered if and only if 44 divides N.The relationship between 64/63 and one step of 44edo is highly precise, even up many thousands of EDOs.
-For EDOs N up to ~16000, it is tempered if and only if 44 divides N.The relationship between 64/63 and one step of 44edo is highly precise, even up many thousands of EDOs.
 It's full expression as a number is 14824640687984246187061099152503501809016771517414462285446734604193473168610561/14821387422376473014217086081112052205218558037201992197050570753012880593911808.
@@ Line 22: / Line 20: @@
 [[Category:7-limit]]
+[[Category:Unnoticeable commas]]