Amaranthine comma: Difference between revisions

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{{Infobox Interval

| Ratio = 5767168/5764801

| Name = ~~amaranthinisma~~, convenience comma

| 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]] (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.

'''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. It had previously been named the "convenience comma" by [[Scott Dakota]] in 2024, in a reference both to its "convenience" in extending septimal harmony ~~to prime 11~~ and to the 7-11 convenience store, though this name was deemed ambiguous by virtue of coming to refer to several other commas as well.

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, convenience comma
+| 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]] (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.
+'''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. It had previously been named the "convenience comma" by [[Scott Dakota]] in 2024, in a reference both to its "convenience" in extending septimal harmony to prime 11 and to the 7-11 convenience store, though this name was deemed ambiguous by virtue of coming to refer to several other commas as well.
+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.