57/56: Difference between revisions

Line 1:

57/56 ~~is a [[superparticular~~|~~superparticular]] interval of about 30.6¢ which makes the difference between [[4/~~3|~~4/3]] (about 498¢) and [[19/14|19/14]] (about 528~~.~~7¢) in [[19-limit~~|~~19-limit]] [[Just_intonation~~|~~Just Intonation]]; it is also the difference between [[19/16~~|~~19/16]] and [[7/6~~|7/6]]. It is also called the Hendrix Comma, since by tempering it out, one can build an 8:10:12:19 [[hendrix_chord|hendrix chord]], which has steps of 5/4-7/5-4/3. [[Patent_val|Patent vals]] which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.

{{Infobox Interval

| JI glyph =

| Ratio = 57/56

| Monzo = -3 1 0 -1 0 0 0 1

| Cents = 30.64211

| Name = hendrix comma

| Color name =

| FJS name =

| Sound =

}}

57/56 ~~= |-3 1 0 -1 0 0 0 1>~~ is a ~~comma~~ of the 2.3.7.~~19 subgroup, and on that subgroup~~, ~~patent vals~~ tempering it out include those from 9, 12, 14, 17 and 26~~. The comma defines a rank three temperament on this subgroup~~.

'''57/56''' is a [[superparticular]] interval of about 30.6¢ which makes the difference between [[4/3]] (about 498¢) and [[19/14]] (about 528.7¢) in [[19-limit]] [[Just_intonation]]; it is also the difference between [[19/16]] and [[7/6]]. It is also called the ''hendrix comma'', since by tempering it out, one can build an 8:10:12:19 [[hendrix chord]], which has steps of [[5/4]]-[[7/5]]-4/3. [[Patent val]]s which temper out the hendrix comma include those from [[9edo|9]], [[10edo|10]], [[12edo|12]], [[16edo|16]], [[21edo|21]], [[22edo|22]] and [[26edo|26]] edo.

See: [[~~List_of_Superparticular_Intervals|~~List of Superparticular Intervals]]

57/56 is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.

See: [[List of Superparticular Intervals]]

[[Category:Comma]]

@@ Line 1: / Line 1: @@
-/56 is a [[superparticular|superparticular]] interval of about 30.6¢ which makes the difference between [[4/3|4/3]] (about 498¢) and [[19/14|19/14]] (about 528.7¢) in [[19-limit|19-limit]] [[Just_intonation|Just Intonation]]; it is also the difference between [[19/16|19/16]] and [[7/6|7/6]]. It is also called the Hendrix Comma, since by tempering it out, one can build an 8:10:12:19 [[hendrix_chord|hendrix chord]], which has steps of 5/4-7/5-4/3. [[Patent_val|Patent vals]] which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.
+{{Infobox Interval
+| JI glyph =
+| Ratio = 57/56
+| Monzo = -3 1 0 -1 0 0 0 1
+| Cents = 30.64211
+| Name = hendrix comma
+| Color name =
+| FJS name =
+| Sound =
+}}
-/56 = |-3 1 0 -1 0 0 0 1&gt; is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.
+'''57/56''' is a [[superparticular]] interval of about 30.6¢ which makes the difference between [[4/3]] (about 498¢) and [[19/14]] (about 528.7¢) in [[19-limit]] [[Just_intonation]]; it is also the difference between [[19/16]] and [[7/6]]. It is also called the ''hendrix comma'', since by tempering it out, one can build an 8:10:12:19 [[hendrix chord]], which has steps of [[5/4]]-[[7/5]]-4/3. [[Patent val]]s which temper out the hendrix comma include those from [[9edo|9]], [[10edo|10]], [[12edo|12]], [[16edo|16]], [[21edo|21]], [[22edo|22]] and [[26edo|26]] edo.
-See: [[List_of_Superparticular_Intervals|List of Superparticular Intervals]]
+/56 is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.
+See: [[List of Superparticular Intervals]]
+[[Category:Comma]]