Sinarabian comma: Difference between revisions

Line 13:

== Etymology ==

The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of a ~~variety~~ of ~~implications~~, ~~the~~ details ~~of which will be added~~ to ~~this article later~~.

The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased here in part by Aura.

One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c). These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:

0.0c---203.910c--354.547c----498.045c

1/1--------9/8-------27/22-------4/3

Al-Farabi: 9:8--------12:11--------88:81

203.910c-----150.637c---143.498

0.0c------203.910c. 342.483c 498.045c

1/1----------9/8-------39/32------4/3

Ibn Sina: 9:8---------13:12------128:117

203.910c--138.573c---155.562c

In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name. More details to come.

[[Category:Commas named after polymaths]]

@@ Line 13: / Line 13: @@
 == Etymology ==
-The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of a variety of implications, the details of which will be added to this article later.
+The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of the following implications, here paraphrased here in part by Aura.
+One of the major commatic relations is between the rastma (243/242) on one hand, which occurs in the tuning of the mode of Zalzal by [[Wikipedia: al-Farabi|al-Farabi]] (c. 870-950) as the distinction between his steps of [[12/11]] (150.637c) and the smaller 88/81 (143.498c), and, on the other hand, the major minthma (352/351, 4.925c) described by [[Wikipedia: Avicenna|Ibn Sina]] (c.980-1037) in noting the "resemblance" between certain complex superpartient ratios and nearby simpler superparticular ratios, e.g. 128/117 (155.562c) and the simpler 12/11, or 88/81 and the simpler 13/12 (138.573c).  These comparisons relate to the adjacent intervals included in the tetrachrds al-Farabi and Ibn Sina favor to realize the 'oudist Mansur Zalzal's tuning favoring a middle third:
+.0c---203.910c--354.547c----498.045c
+/1--------9/8-------27/22-------4/3
+Al-Farabi:   9:8--------12:11--------88:81
+.910c-----150.637c---143.498
+.0c------203.910c.   342.483c 498.045c
+/1----------9/8-------39/32------4/3
+Ibn Sina:  9:8---------13:12------128:117
+.910c--138.573c---155.562c
+In effect, the Sinarabian comma serves as a kind of bridge between these two tetrachords and tunings, hence its name.  More details to come.
 [[Category:Commas named after polymaths]]