1521/1520: Difference between revisions

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| Monzo = -4 2 -1 0 0 2 0 -1
| Monzo = -4 2 -1 0 0 2 0 -1
| Cents = 1.1386
| Cents = 1.1386
| Name = pinkanberry comma
| Name = pinkanberry, pinkan comma, nuthothogu comma
| Color name = 19u3oog1, nuthothogu unison
| Color name = 19u3oog1, nuthothogu unison
| Sound =  
| Sound =  
}}
}}


'''1521/1520''', the '''pinkanberry comma''', is a [[19-limit]] unnoticeable comma and [[Essential tempering commas|essential tempering comma]], specifically of the 2.3.5.13.19 subgroup. Among other things, it is the difference between [[20/19]] and a stack of two [[40/39]]<nowiki/>s, as well as the difference between two other essential tempering commas, [[676/675]] and [[1216/1215]].  
'''1521/1520''', the '''pinkanberry''', is a [[19-limit]] unnoticeable comma and [[Essential tempering commas|essential tempering comma]], specifically of the 2.3.5.13.19 subgroup. Among other things, it is the difference between [[20/19]] and a stack of two [[40/39]]<nowiki/>s, as well as the difference between two other essential tempering commas, [[676/675]] and [[1216/1215]].  


It is named for the fact that the latter two commas define [[The Archipelago#Pinkan|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit", and thus tempering it out enables the '''pinkanberry chords'''. EDOs that support these include {{EDOs| 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513.}}  
It is named for the fact that the latter two commas define [[The Archipelago#Pinkan|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit". Tempering it out enables the '''pinkanberry chords''', and EDOs that support these include {{EDOs| 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513.}}  


==See also==
==See also==

Revision as of 00:06, 9 September 2021

Interval information
Ratio 1521/1520
Factorization 2-4 × 32 × 5-1 × 132 × 19-1
Monzo [-4 2 -1 0 0 2 0 -1
Size in cents 1.138595¢
Names pinkanberry,
pinkan comma,
nuthothogu comma
Color name 19u3oog1, nuthothogu unison
FJS name [math]\displaystyle{ \text{d1}^{13,13}_{5,19} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 21.1407
Weil height (log2 max(n, d)) 21.1416
Wilson height (sopfr(nd)) 64
Open this interval in xen-calc

1521/1520, the pinkanberry, is a 19-limit unnoticeable comma and essential tempering comma, specifically of the 2.3.5.13.19 subgroup. Among other things, it is the difference between 20/19 and a stack of two 40/39s, as well as the difference between two other essential tempering commas, 676/675 and 1216/1215.

It is named for the fact that the latter two commas define pinkan temperament, making the tempering of 1521/1520 its most prominent "fruit". Tempering it out enables the pinkanberry chords, and EDOs that support these include 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513.

See also