33/32: Difference between revisions

Line 1:

~~'''~~33/32~~'''~~

{{Infobox Interval

|-5 1 0 0 1~~>~~

| Icon =

| Ratio = 33/32

| Monzo = -5 1 0 0 1

| Cents = 53.27294

| Name = al-Farabi (Alpharabius) quarter-tone

| Color name =

| Sound = jid_33_32_pluck_adu_dr220.mp3

}}

53.~~2729 cents~~

The '''al-Farabi (Alpharabius) quarter-tone''', '''33/32''', is a [[superparticular]] ratio which differs by a [[keenanisma]], (385/384), from the [[36/35|septimal quarter tone (36/35)]]. Raising a just [[4/3|perfect fourth (4/3)]] by the al-Farabi quarter-tone leads to the [[11/8]] super-fourth. Raising it instead by 36/35 leads to the [[48/35|septimal super-fourth (48/35)]] which approximates 11/8.

[[~~File:jid_33_32_pluck_adu_dr220.mp3~~]] [[~~:File:jid_33_32_pluck_adu_dr220.mp3~~|~~sound sample~~]]

Arguably the al-Farabia quarter-tone could have been used as a melodic interval in the Greek Enharmonic Genus. The resulting tetrachord would include 32:33:34 within the interval of a perfect fourth. This ancient Greek scale can be approximated in [[22edo|22-edo]] and [[24edo|24-edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.

The al-Farabi (Alpharabius) quarter-tone, 33/32, is a [[superparticular|superparticular]] ratio which differs by a [[385/384|keenanisma]], 385/384, from the [[36/35|septimal quarter tone]] 36/35. Raising a just [[4/3|perfect fourth]] by the al-Farabi quarter-tone leads to the [[11/8|11/8]] super-fourth. Raising it instead by 36/35 leads to the [[48/35|septimal super-fourth]] which approximates 11/8.

== See also ==

~~Arguably the al~~-~~Farabia quarter-tone could have been used as a melodic interval in the Greek Enharmonic Genus. The resulting tetrachord would include 32~~:33:~~34 within the interval of a perfect fourth. This ancient Greek scale can be approximated in~~ [[~~22edo|22-edo~~]] ~~and~~ [[~~24edo|24-edo~~]]~~, if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.~~

* [[Gallery of just intervals]]

* [[32/31]]

[[Category:11-limit]]

[[Category:Interval ratio]]

[[Category:Superparticular]]

[[Category:Quartertone]]

[[Category:Listen]]

@@ Line 1: / Line 1: @@
-'''33/32'''
+{{Infobox Interval
-|-5 1 0 0 1&gt;
+| Icon =
+| Ratio = 33/32
+| Monzo = -5 1 0 0 1
+| Cents = 53.27294
+| Name = al-Farabi (Alpharabius) quarter-tone
+| Color name =
+| Sound = jid_33_32_pluck_adu_dr220.mp3
+}}
-.2729 cents
+The '''al-Farabi (Alpharabius) quarter-tone''', '''33/32''', is a [[superparticular]] ratio which differs by a [[keenanisma]], (385/384), from the [[36/35|septimal quarter tone (36/35)]]. Raising a just [[4/3|perfect fourth (4/3)]] by the al-Farabi quarter-tone leads to the [[11/8]] super-fourth. Raising it instead by 36/35 leads to the [[48/35|septimal super-fourth (48/35)]] which approximates 11/8.
-[[File:jid_33_32_pluck_adu_dr220.mp3]] [[:File:jid_33_32_pluck_adu_dr220.mp3|sound sample]]
+Arguably the al-Farabia quarter-tone could have been used as a melodic interval in the Greek Enharmonic Genus. The resulting tetrachord would include 32:33:34 within the interval of a perfect fourth. This ancient Greek scale can be approximated in [[22edo|22-edo]] and [[24edo|24-edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.
-The al-Farabi (Alpharabius) quarter-tone, 33/32, is a [[superparticular|superparticular]] ratio which differs by a [[385/384|keenanisma]], 385/384, from the [[36/35|septimal quarter tone]] 36/35. Raising a just [[4/3|perfect fourth]] by the al-Farabi quarter-tone leads to the [[11/8|11/8]] super-fourth. Raising it instead by 36/35 leads to the [[48/35|septimal super-fourth]] which approximates 11/8.
+== See also ==
-Arguably the al-Farabia quarter-tone could have been used as a melodic interval in the Greek Enharmonic Genus. The resulting tetrachord would include 32:33:34 within the interval of a perfect fourth. This ancient Greek scale can be approximated in [[22edo|22-edo]] and [[24edo|24-edo]], if the comma 1089/1088 is tempered so that 33/32 and 34/33 are equated.
+* [[Gallery of just intervals]]
+* [[32/31]]
+[[Category:11-limit]]
+[[Category:Interval ratio]]
+[[Category:Superparticular]]
+[[Category:Quartertone]]
+[[Category:Listen]]