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In this example, natural notes are sharpened by multiplying its frequency ratio by 256:243 (called a limma), and a natural note is flattened by multiplying its ratio by 243:256. A pair of enharmonic notes are separated by a Pythagorean comma, which is equal to 531441:524288.
Pythagorean enharmonic scale is relevant, I was looking exactly this kind of information.. Käkki2 ( talk) 17:01, 11 November 2008 (UTC)
How about starting with a simple explanation so the layman that is looking for a simple explanation will have one and then go in more complex analysis that a mathematician may be looking for. Here it is in 3 lines:
An enharmonic note is a note that when written on sheet is different but when played is the same, for example: F sharp and G flat, or A sharp and B flat. An enharmonic scale is the same, a scale that looks different on paper but is the same when played: E flat major and D sharp major.
-- Jo3sampl ( talk) 22:29, 29 November 2012 (UTC)
The C flat, E sharp, F flat and B sharp notes are missing from the chart. Why is this..? Käkki2 ( talk) 17:01, 11 November 2008 (UTC)
[[User:kiss|kiss] Jun 1, 2008] —Preceding unsigned comment added by 209.183.29.95 ( talk) 10:38, 31 May 2008 (UTC)
More properly dieses or 'divisions', [1] nonexistent on modern keyboards and originating in the diminished seventh chord. [2]
References
http://music-theory.ascensionsounds.com/who-really-understands-musical-enharmonics/
http://www.musicofyesterday.com/history/8002324/The_Greek_Octave_System.php
"Enharmonic scale" does not mean "the same scale spelled differently" -- careful!
-- Jo3sampl ( talk) 22:33, 29 November 2012 (UTC)
Does this mean that 17-TET is an enharmonic scale? Is 19-TET one too? What about 31-TET and 53-TET? Double sharp ( talk) 15:39, 2 March 2013 (UTC)
17 and 19 both are, yes. Enharmonic scales where the fifth is larger than 700 cents will usually have 17 notes, those with flatter fifths (meantone) will usually have 19 notes. Also, in the latter type of scale, C# (for example) is lower than Db, but in the former type of scale, these relationships are reversed (C# is above Db).
As for 31, the entire scale requires double-sharps and double-flats (or half-sharps and half-flats) to notate and thus is not enharmonic, although it could be considered "super-enharmonic" (a generalization). But there is a 19-note enharmonic subset of 31-ET. FiredanceThroughTheNight ( talk) 06:17, 31 December 2015 (UTC)
![]() | A fact from Enharmonic scale appeared on Wikipedia's
Main Page in the
Did you know column on 25 July 2004. The text of the entry was as follows:
| ![]() |
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
In this example, natural notes are sharpened by multiplying its frequency ratio by 256:243 (called a limma), and a natural note is flattened by multiplying its ratio by 243:256. A pair of enharmonic notes are separated by a Pythagorean comma, which is equal to 531441:524288.
Pythagorean enharmonic scale is relevant, I was looking exactly this kind of information.. Käkki2 ( talk) 17:01, 11 November 2008 (UTC)
How about starting with a simple explanation so the layman that is looking for a simple explanation will have one and then go in more complex analysis that a mathematician may be looking for. Here it is in 3 lines:
An enharmonic note is a note that when written on sheet is different but when played is the same, for example: F sharp and G flat, or A sharp and B flat. An enharmonic scale is the same, a scale that looks different on paper but is the same when played: E flat major and D sharp major.
-- Jo3sampl ( talk) 22:29, 29 November 2012 (UTC)
The C flat, E sharp, F flat and B sharp notes are missing from the chart. Why is this..? Käkki2 ( talk) 17:01, 11 November 2008 (UTC)
[[User:kiss|kiss] Jun 1, 2008] —Preceding unsigned comment added by 209.183.29.95 ( talk) 10:38, 31 May 2008 (UTC)
More properly dieses or 'divisions', [1] nonexistent on modern keyboards and originating in the diminished seventh chord. [2]
References
http://music-theory.ascensionsounds.com/who-really-understands-musical-enharmonics/
http://www.musicofyesterday.com/history/8002324/The_Greek_Octave_System.php
"Enharmonic scale" does not mean "the same scale spelled differently" -- careful!
-- Jo3sampl ( talk) 22:33, 29 November 2012 (UTC)
Does this mean that 17-TET is an enharmonic scale? Is 19-TET one too? What about 31-TET and 53-TET? Double sharp ( talk) 15:39, 2 March 2013 (UTC)
17 and 19 both are, yes. Enharmonic scales where the fifth is larger than 700 cents will usually have 17 notes, those with flatter fifths (meantone) will usually have 19 notes. Also, in the latter type of scale, C# (for example) is lower than Db, but in the former type of scale, these relationships are reversed (C# is above Db).
As for 31, the entire scale requires double-sharps and double-flats (or half-sharps and half-flats) to notate and thus is not enharmonic, although it could be considered "super-enharmonic" (a generalization). But there is a 19-note enharmonic subset of 31-ET. FiredanceThroughTheNight ( talk) 06:17, 31 December 2015 (UTC)