11/8: Difference between revisions

Line 9:

| Monzo = -3 0 0 0 1

| Cents = 551.31794

| Name = undecimal superfourth, major fourth, Axirabian paramajor fourth, just paramajor fourth

| Name = undecimal superfourth, undecimal major fourth, Axirabian paramajor fourth, just paramajor fourth

| Color name = 1o4, ilo 4th

| FJS name = P411

Line 16:

In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|¢]]. This interval~~, or rather~~ the tempered version found in [[24edo]], was dubbed the ~~'''~~major fourth~~'''~~ by [[Ivan Wyschnegradsky]]. Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]], it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''- see [[User:Aura/Aura's Ideas on Functional Harmony #History|the history of Aura's Ideas on Functional Harmony]] for explanation of the modified names.

In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|¢]]. This interval can also be called the '''undecimal major fourth''' since the tempered version found in [[24edo]], was dubbed the "major fourth" by [[Ivan Wyschnegradsky]]. Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]], it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''- see [[User:Aura/Aura's Ideas on Functional Harmony #History|the history of Aura's Ideas on Functional Harmony]] for explanation of the modified names.

This interval is the simplest superfourth in JI, and as it falls about halfway between [[12edo]]'s [[perfect fourth]] and [[tritone]], it is very xenharmonic. As an octave-reduced harmonic, 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 (prime 5) and 12 (prime 3).

@@ Line 9: / Line 9: @@
 | Monzo = -3 0 0 0 1
 | Cents = 551.31794
-| Name = undecimal superfourth, <br>major fourth, <br>Axirabian paramajor fourth, <br>just paramajor fourth
+| Name = undecimal superfourth, <br>undecimal major fourth, <br>Axirabian paramajor fourth, <br>just paramajor fourth
 | Color name = 1o4, ilo 4th
 | FJS name = P4<sup>11</sup>
@@ Line 16: / Line 16: @@
 {{Wikipedia|Major fourth and minor fifth}}
-In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|&cent;]].  This interval, or rather the tempered version found in [[24edo]], was dubbed the '''major fourth''' by [[Ivan Wyschnegradsky]].  Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]], it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''- see [[User:Aura/Aura's Ideas on Functional Harmony #History|the history of Aura's Ideas on Functional Harmony]] for explanation of the modified names.
+In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|&cent;]].  This interval can also be called the '''undecimal major fourth''' since the tempered version found in [[24edo]], was dubbed the "major fourth" by [[Ivan Wyschnegradsky]].  Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]], it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''- see [[User:Aura/Aura's Ideas on Functional Harmony #History|the history of Aura's Ideas on Functional Harmony]] for explanation of the modified names.
 This interval is the simplest superfourth in JI, and as it falls about halfway between [[12edo]]'s [[perfect fourth]] and [[tritone]], it is very xenharmonic.  As an octave-reduced harmonic, 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 (prime 5) and 12 (prime 3).