Betarabian comma: Difference between revisions

(5 intermediate revisions by 4 users not shown)

Line 1:

{{Infobox Interval

~~| JI glyph =~~

| Ratio = 264627/262144

~~| Monzo = -18 7 0 0 2~~

~~| Cents = 16.32089~~

| Name = Betarabian comma

| Color name =

| Color name = L1oo-2, Lalolo comma

| ~~FJS name =~~

| Comma = yes

~~| Sound~~ =

}}

The '''Betarabian comma''', ~~at about 16.3~~[[~~Cent|¢~~]]~~, is the interval '''~~264627/262144~~'''~~. It is the sum of the [[32805/32768|schisma]] and the [[121/120|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242|rastma]]. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it. As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[~~Alpharabian temperaments~~]], however, there are other temperaments that temper out just the Betarabian comma itself.

The '''Betarabian comma''' ({{monzo|legend=1| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}. It is the sum of the [[32805/32768|schisma]] and the [[121/120|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242|rastma]].

Furthermore, it forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in no-fives no-sevens [[just]] 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.

== Temperaments ==

As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alphaxenic rank three clan|alphaxenic rank-3 clan]]; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic temperament''', or in the 2.3.11 [[subgroup]], the '''betaxenean temperament'''.

~~[[Category:11-limit]]~~

~~[[Category:Small commas]]~~

[[Category:Alpharabian]]

[[Category:Betaxenic]]

[[Category:Commas named after polymaths]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
 | Ratio = 264627/262144
-| Monzo = -18 7 0 0 2
-| Cents = 16.32089
 | Name = Betarabian comma
-| Color name =
+| Color name = L1oo-2, Lalolo comma
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-The '''Betarabian comma''', at about 16.3[[Cent|¢]], is the interval '''264627/262144'''.  It is the sum of the [[32805/32768|schisma]] and the [[121/120|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242|rastma]].  Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning.  The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.  As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alpharabian temperaments]], however, there are other temperaments that temper out just the Betarabian comma itself.
+The '''Betarabian comma''' ({{monzo|legend=1| -18 7 0 0 2 }}, [[ratio]]: 264627/262144) is an [[11-limit]] [[comma]] at about 16.3{{cent}}. It is the sum of the [[32805/32768|schisma]] and the [[121/120|biyatisma]], as well as the sum of the [[Alpharabian comma]] and the [[243/242|rastma]].
+Furthermore, it forms the difference between various pairs of enharmonic [[quartertone]]-based intervals in no-fives no-sevens [[just]] 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.
+== Temperaments ==
+As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among [[Alphaxenic rank three clan|alphaxenic rank-3 clan]]; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the '''betaxenic temperament''', or in the 2.3.11 [[subgroup]], the '''betaxenean temperament'''.
-[[Category:11-limit]]
-[[Category:Small commas]]
 [[Category:Alpharabian]]
+[[Category:Betaxenic]]
+[[Category:Commas named after polymaths]]
+[[Category:Commas named for their regular temperament properties]]