11/8: Difference between revisions

Line 10:

| Monzo = -3 0 0 0 1

| Cents = 551.31794

| Name = undecimal superfourth, major fourth, ~~Alpharabian~~ paramajor fourth, just paramajor fourth

| Name = undecimal superfourth, 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 has [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth also been referred to] as the '''major fourth'''. Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]] (see also [[User:Aura/Aura's Ideas on Tonality #11-limit Axis Functionality]]), it can also be somewhat similarly dubbed the '''~~Alpharabian~~ paramajor fourth''' or even the '''just paramajor fourth'''.

In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|¢]]. This interval has [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth also been referred to] as the '''major fourth'''. Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]] (see also [[User:Aura/Aura's Ideas on Tonality #11-limit Axis Functionality]]), it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''.

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 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 (prime 5) and 12 (prime 3).

@@ Line 10: / Line 10: @@
 | Monzo = -3 0 0 0 1
 | Cents = 551.31794
-| Name = undecimal superfourth, <br>major fourth, <br>Alpharabian paramajor fourth, <br>just paramajor fourth
+| Name = undecimal superfourth, <br>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: @@
 }}
-In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|&cent;]].  This interval has [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth also been referred to] as the '''major fourth'''.  Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]] (see also [[User:Aura/Aura's Ideas on Tonality #11-limit Axis Functionality]]), it can also be somewhat similarly dubbed the '''Alpharabian paramajor fourth''' or even the '''just paramajor fourth'''.
+In [[11-limit]] [[just intonation]], '''11/8''' is an '''undecimal [[superfourth]]''' of about 551.3[[cent|&cent;]].  This interval has [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth also been referred to] as the '''major fourth'''.  Furthermore, as stacks of this interval form a core axis of [[Alpharabian tuning]] (see also [[User:Aura/Aura's Ideas on Tonality #11-limit Axis Functionality]]), it can also be somewhat similarly dubbed the '''Axirabian paramajor fourth''' or even the '''just paramajor fourth'''.
 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 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 (prime 5) and 12 (prime 3).