Amaranthine comma: Difference between revisions

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{{Infobox Interval

| Ratio = 5767168/5764801

| Name = ~~amaranthinisma~~

| Name = amaranthine comma, convenience comma

| Color name = Loquadbiru comma

| Comma = yes

}}

'''5767168/5764801''', the '''~~amaranthinisma~~''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between a stack of eight [[8/7]]'s and [[32/11]], measuring 0.711 cents; it can also be expressed as the difference between [[99/98]] and two [[1029/1024|gamelismas (1029/1024)]]. Since both 99/98 and 1029/1024 are tempered out in undecimal [[mothra]], this comma is also tempered out.

'''5767168/5764801''', the '''amaranthine comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between a stack of eight [[8/7]]'s and [[32/11]] (one octave above [[16/11]]), measuring 0.711 cents; it can also be expressed as the difference between [[99/98]] and two [[1029/1024|gamelismas (1029/1024)]]. Since both 99/98 and 1029/1024 are tempered out in undecimal [[mothra]], this comma is also tempered out.

== Etymology ==

The word "amaranthine" means "unfading", and so this comma was named by [[Lériendil]] in 2025, as it is the one portion of the structure of the undecimal [[slendric]] extensions that refuses to fade even at the high precision of a near justly tuned 8/7.

The word "amaranthine" means "unfading", and so this comma was named by [[Lériendil]] in 2025, as it is the one portion of the structure of the undecimal [[slendric]] extensions that refuses to fade even at the high precision of a near justly tuned 8/7. It had previously been named the "convenience comma" by [[Scott Dakota]] in 2024, in a reference both to its "convenience" in easily extending septimal harmony and to the 7-11 convenience store (both due to bridging prime 7 to prime 11 and being 0.711 cents), though this name was deemed ambiguous by virtue of coming to refer to several other commas as well.

== Temperaments ==

Tempering out this comma in the full [[11-limit]] results in the rank-4 '''~~amaranthinismic~~ temperament''', and tempering it out in the 2.7.11 [[subgroup]] results in the rank-2 [[No-threes subgroup temperaments#Amaranthine|amaranthine]] temperament.

Tempering out this comma in the full [[11-limit]] results in the rank-4 '''amaranthinesmic temperament''', and tempering it out in the 2.7.11 [[subgroup]] results in the rank-2 '''[[No-threes subgroup temperaments#Amaranthine|amaranthine]] temperament'''.

As its order of 11 is one, any [[7-limit]] temperament can be immediately extended to the 11-limit in theory by tempering out this comma. To make practical sense, however, it requires low complexity and high accuracy of 8/7.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 5767168/5764801
-| Name = amaranthinisma
+| Name = amaranthine comma, convenience comma
 | Color name = Loquadbiru comma
 | Comma = yes
 }}
-'''5767168/5764801''', the '''amaranthinisma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between a stack of eight [[8/7]]'s and [[32/11]], measuring 0.711 cents; it can also be expressed as the difference between [[99/98]] and two [[1029/1024|gamelismas (1029/1024)]]. Since both 99/98 and 1029/1024 are tempered out in undecimal [[mothra]], this comma is also tempered out.
+'''5767168/5764801''', the '''amaranthine comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between a stack of eight [[8/7]]'s and [[32/11]] (one octave above [[16/11]]), measuring 0.711 cents; it can also be expressed as the difference between [[99/98]] and two [[1029/1024|gamelismas (1029/1024)]]. Since both 99/98 and 1029/1024 are tempered out in undecimal [[mothra]], this comma is also tempered out.
 == Etymology ==
-The word "amaranthine" means "unfading", and so this comma was named by [[Lériendil]] in 2025, as it is the one portion of the structure of the undecimal [[slendric]] extensions that refuses to fade even at the high precision of a near justly tuned 8/7.
+The word "amaranthine" means "unfading", and so this comma was named by [[Lériendil]] in 2025, as it is the one portion of the structure of the undecimal [[slendric]] extensions that refuses to fade even at the high precision of a near justly tuned 8/7. It had previously been named the "convenience comma" by [[Scott Dakota]] in 2024, in a reference both to its "convenience" in easily extending septimal harmony and to the 7-11 convenience store (both due to bridging prime 7 to prime 11 and being 0.711 cents), though this name was deemed ambiguous by virtue of coming to refer to several other commas as well.
 == Temperaments ==
-Tempering out this comma in the full [[11-limit]] results in the rank-4 '''amaranthinismic temperament''', and tempering it out in the 2.7.11 [[subgroup]] results in the rank-2 [[No-threes subgroup temperaments#Amaranthine|amaranthine]] temperament.
+Tempering out this comma in the full [[11-limit]] results in the rank-4 '''amaranthinesmic temperament''', and tempering it out in the 2.7.11 [[subgroup]] results in the rank-2 '''[[No-threes subgroup temperaments#Amaranthine|amaranthine]] temperament'''.
 As its order of 11 is one, any [[7-limit]] temperament can be immediately extended to the 11-limit in theory by tempering out this comma. To make practical sense, however, it requires low complexity and high accuracy of 8/7.