375/374: Difference between revisions

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{{Infobox Interval

| Name = ursulisma

| Name = ursulisma, ursulic comma

| Color name =

| Color name = 17u1uy<sup>3</sup>-2, sulutriyo negative 2nd

| Comma = yes

}}

The '''ursulisma''', or '''ursulic comma''', is a [[17-limit]] (also 2.3.5.11.17 [[subgroup]]) [[superparticular]] [[comma]] with a [[ratio]] of '''375/374'''. It is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]].

The '''ursulisma''' is a [[17-limit]] (also 2.3.5.11.17 [[subgroup]]) [[superparticular]] [[comma]] with a [[ratio]] of '''375/374'''. It is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]]. It has also been described as the ''septendecimal wholetones comma'' (though the whole tones it separates are not septendecimal as one of them is not [[Harmonic class|HC17]] and the other is not of the 2.3.17 subgroup).

== Commatic relations ==

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== Temperaments ==

Tempering out this comma in the 17-limit leads to the rank-6 '''ursulismic temperament'''. Tempering it out in the 2.3.5.11.17 subgroup leads to the rank-4 '''ursulic temperament'''.

Tempering out this comma in the 17-limit leads to the rank-6 '''ursulismic temperament'''. Tempering it out in the 2.3.5.11.17 subgroup leads to the rank-4 '''ursulic temperament''', enabling [[ursulismic chords]]. You may find a list of good equal temperaments that support these temperaments below.

=== Ursulismic ===

[[Subgroup]]: 2.3.5.7.11.13.17

[[Mapping]]: <br>

{| class="right-all"

|-

| [⟨ || 1 || 0 || 0 || 0 || 0 || 0 || -1 || ],

|-

| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],

|-

| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 3 || ],

|-

| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],

|-

| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || -1 || ],

|-

| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]

|}

: mapping generators: ~2, ~3, ~5, ~7, ~11, ~13

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.8093, ~5/4 = 385.3757, ~7/4, ~11/8 = 552.0120, ~13/8

{{Optimal ET sequence|legend=1| 12f, 15g, 16, 19g, 22, 27eg, 29g, 31, 38df, 41g, 43, 49fg, 50, 53, 60e, 65d, 72, 103, 121, 152fg, 159, 171, 193, 224, 296, 395e, 467, 554g, 691eg }}

=== Ursulic ===

[[Subgroup]]: 2.3.5.11.17

{{Mapping|legend=2| 1 0 0 0 -1 | 0 1 0 0 1 | 0 0 1 0 3 | 0 0 0 1 -1 }}

: sval mapping generators: ~2, ~3, ~5, ~11

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.8093, ~5/4 = 385.3757, ~11/8 = 552.0120

{{Optimal ET sequence|legend=1| 12, 15g, 19g, 22, 31, 34, 50, 53, 56, 60e, 65, 72, 137, 159, 296, 455, 489 }}

== Etymology ==

The ursulisma was named by [[Aura]] and [[User:VIxen|VIxen]] in 2023. It refers to [[Wikipedia: 375 Ursula|375 Ursula]], the asteroid. After some naming attempts in the XA Discord Server that ~~tuned~~ out dissatisfactory to the participants, VIxen came up with the idea to look up the [[Wikipedia: List of minor planets|list of minor planets]] in case everything else failed~~. And~~ Aura was the first to put together the word ''ursulisma''.

The ursulisma was named by [[Aura]] and [[User:VIxen|VIxen]] in 2023. It refers to [[Wikipedia: 375 Ursula|375 Ursula]], the asteroid. After some naming attempts in the XA Discord Server that turned out dissatisfactory to the participants, VIxen came up with the idea to look up the [[Wikipedia: List of minor planets|list of minor planets]] in case everything else failed, and Aura was the first to put together the word ''ursulisma''.

The origin for the asteroid’s own name is unknown.

[[Category:Ursulismic]]

[[Category:Commas named after asteroids]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = ursulisma
+| Name = ursulisma, ursulic comma
-| Color name =
+| Color name = 17u1uy<sup>3</sup>-2, sulutriyo negative 2nd
 | Comma = yes
 }}
+The '''ursulisma''', or '''ursulic comma''', is a [[17-limit]] (also 2.3.5.11.17 [[subgroup]]) [[superparticular]] [[comma]] with a [[ratio]] of '''375/374'''. It is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]].
-The '''ursulisma''' is a [[17-limit]] (also 2.3.5.11.17 [[subgroup]]) [[superparticular]] [[comma]] with a [[ratio]] of '''375/374'''. It is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]]. It has also been described as the ''septendecimal wholetones comma'' (though the whole tones it separates are not septendecimal as one of them is not [[Harmonic class|HC17]] and the other is not of the 2.3.17 subgroup).
 == Commatic relations ==
@@ Line 27: / Line 26: @@
 == Temperaments ==
-Tempering out this comma in the 17-limit leads to the rank-6 '''ursulismic temperament'''. Tempering it out in the 2.3.5.11.17 subgroup leads to the rank-4 '''ursulic temperament'''.
+Tempering out this comma in the 17-limit leads to the rank-6 '''ursulismic temperament'''. Tempering it out in the 2.3.5.11.17 subgroup leads to the rank-4 '''ursulic temperament''', enabling [[ursulismic chords]]. You may find a list of good equal temperaments that support these temperaments below.
+=== Ursulismic ===
+[[Subgroup]]: 2.3.5.7.11.13.17
+[[Mapping]]: <br>
+{| class="right-all"
+|-
+| [⟨ || 1 || 0 || 0 || 0 || 0 || 0 || -1 || ],
+|-
+| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],
+|-
+| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 3 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || -1 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || ]]
+|}
+: mapping generators: ~2, ~3, ~5, ~7, ~11, ~13
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.8093, ~5/4 = 385.3757, ~7/4, ~11/8 = 552.0120, ~13/8
+{{Optimal ET sequence|legend=1| 12f, 15g, 16, 19g, 22, 27eg, 29g, 31, 38df, 41g, 43, 49fg, 50, 53, 60e, 65d, 72, 103, 121, 152fg, 159, 171, 193, 224, 296, 395e, 467, 554g, 691eg }}
+=== Ursulic ===
+[[Subgroup]]: 2.3.5.11.17
+{{Mapping|legend=2| 1 0 0 0 -1 | 0 1 0 0 1 | 0 0 1 0 3 | 0 0 0 1 -1 }}
+: sval mapping generators: ~2, ~3, ~5, ~11
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.8093, ~5/4 = 385.3757, ~11/8 = 552.0120
+{{Optimal ET sequence|legend=1| 12, 15g, 19g, 22, 31, 34, 50, 53, 56, 60e, 65, 72, 137, 159, 296, 455, 489 }}
 == Etymology ==
-The ursulisma was named by [[Aura]] and [[User:VIxen|VIxen]] in 2023. It refers to [[Wikipedia: 375 Ursula|375 Ursula]], the asteroid. After some naming attempts in the XA Discord Server that tuned out dissatisfactory to the participants, VIxen came up with the idea to look up the [[Wikipedia: List of minor planets|list of minor planets]] in case everything else failed. And Aura was the first to put together the word ''ursulisma''.
+The ursulisma was named by [[Aura]] and [[User:VIxen|VIxen]] in 2023. It refers to [[Wikipedia: 375 Ursula|375 Ursula]], the asteroid. After some naming attempts in the XA Discord Server that turned out dissatisfactory to the participants, VIxen came up with the idea to look up the [[Wikipedia: List of minor planets|list of minor planets]] in case everything else failed, and Aura was the first to put together the word ''ursulisma''.
+The origin for the asteroid’s own name is unknown.
+[[Category:Ursulismic]]
+[[Category:Commas named after asteroids]]