11/8: Difference between revisions

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'''11/8'''

|-3 0 0 0 1~~>~~

551.31794 cents

[[File:jid_11_8_pluck_adu_dr220.mp3]] [[:File:jid_11_8_pluck_adu_dr220.mp3|sound ~~sample~~]]

[[File:jid_11_8_pluck_adu_dr220.mp3]] [[:File:jid_11_8_pluck_adu_dr220.mp3|sound info]]

In [[~~11-limit|~~11-limit]] [[~~Just_intonation|~~Just Intonation]], 11/8 is an undecimal (11-based) [[~~Superfourth|~~superfourth]] of about 551.3¢. Falling about halfway between [[~~12edo|~~12edo]]'s [[~~Perfect_fourth|~~perfect fourth]] and [[~~tritone|~~tritone]], it is very xenharmonic. It is the simplest superfourth in JI. As an octave-reduced overtone, it is a basis of consonance in 11-limit JI, alongside the lower odd numbers 9, 7, 5 and 3. It can be found in harmonic series chords such as 4:5:6:7:8:9:10:11:12, sitting somewhere between the much stronger and more familiar consonances of 10 (5) and 12 (3). It is very well-represented in [[~~24edo|~~24edo]], making that system especially good for approximations of JI chords involving primes 3 and 11 such as 8:9:11:12.

In [[11-limit]] [[Just Intonation]], 11/8 is an undecimal (11-based) [[superfourth]] of about 551.3[[cent|¢]]. Falling about halfway between [[12edo]]'s [[perfect fourth]] and [[tritone]], it is very xenharmonic. It is the simplest superfourth in JI. As an octave-reduced overtone, it is a basis of consonance in 11-limit JI, alongside the lower odd numbers 9, 7, 5 and 3. It can be found in harmonic series chords such as 4:5:6:7:8:9:10:11:12, sitting somewhere between the much stronger and more familiar consonances of 10 (5) and 12 (3). It is very well-represented in [[24edo]], making that system especially good for approximations of JI chords involving primes 3 and 11 such as 8:9:11:12.

See: [[~~Gallery_of_Just_Intervals|~~Gallery of Just Intervals]] [[Category:11-limit]]

:''See also [[Gallery of Just Intervals]]''

[[Category:11-limit]]

[[Category:fourth]]

[[Category:interval]]

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[[Category:undecimal]]

[[Category:untwelve]]

[[de:Alphorn-Fa]]

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 '''11/8'''
-|-3 0 0 0 1&gt;
+{{Monzo| -3 0 0 0 1 }}
 .31794 cents
-[[File:jid_11_8_pluck_adu_dr220.mp3]] [[:File:jid_11_8_pluck_adu_dr220.mp3|sound sample]]
+[[File:jid_11_8_pluck_adu_dr220.mp3]] [[:File:jid_11_8_pluck_adu_dr220.mp3|sound info]]
-In [[11-limit|11-limit]] [[Just_intonation|Just Intonation]], 11/8 is an undecimal (11-based) [[Superfourth|superfourth]] of about 551.3¢. Falling about halfway between [[12edo|12edo]]'s [[Perfect_fourth|perfect fourth]] and [[tritone|tritone]], it is very xenharmonic. It is the simplest superfourth in JI. As an octave-reduced overtone, it is a basis of consonance in 11-limit JI, alongside the lower odd numbers 9, 7, 5 and 3. It can be found in harmonic series chords such as 4:5:6:7:8:9:10:11:12, sitting somewhere between the much stronger and more familiar consonances of 10 (5) and 12 (3). It is very well-represented in [[24edo|24edo]], making that system especially good for approximations of JI chords involving primes 3 and 11 such as 8:9:11:12.
+In [[11-limit]] [[Just Intonation]], 11/8 is an undecimal (11-based) [[superfourth]] of about 551.3[[cent|&cent;]]. Falling about halfway between [[12edo]]'s [[perfect fourth]] and [[tritone]], it is very xenharmonic. It is the simplest superfourth in JI. As an octave-reduced overtone, it is a basis of consonance in 11-limit JI, alongside the lower odd numbers 9, 7, 5 and 3. It can be found in harmonic series chords such as 4:5:6:7:8:9:10:11:12, sitting somewhere between the much stronger and more familiar consonances of 10 (5) and 12 (3). It is very well-represented in [[24edo]], making that system especially good for approximations of JI chords involving primes 3 and 11 such as 8:9:11:12.
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:11-limit]]
+:''See also [[Gallery of Just Intervals]]''
+[[Category:11-limit]]
 [[Category:fourth]]
 [[Category:interval]]
@@ Line 15: / Line 18: @@
 [[Category:undecimal]]
 [[Category:untwelve]]
+<!-- interwiki -->
+[[de:Alphorn-Fa]]