784/783: Difference between revisions

Line 1:

{{Infobox Interval

| Name = ~~spoogalactic comma,~~ biminorisma

| Name = biminorisma

| Color name = twenuzozo 2nd, 29uzz2,<br>Twenuzozo comma

}}

'''784/783''', ~~the '''spoogalactic comma''' or~~ the '''biminorisma''', is a [[29-limit]] interval, and is the distance between the intervals [[29/28]] and [[28/27]] (thus having the [[S-expression]] '''S28'''). ~~Tempering it out results in~~ [[~~spoogalactic~~ temperament]], the ~~rank~~-3 ~~temperament in~~ the 2.3.7.29 ~~subgroup~~. ~~The names of the comma and temperament were proposed due to a~~ form of this temperament being used in the song [https://on.soundcloud.com/fJWXc "Into The Spoogalaxy!"] by members of the ~~Xenharmonic Alliance~~ Discord server for the 2023 Server vs. Server music competition.

'''784/783''', the '''biminorisma''', is a [[29-limit]] interval, and is the distance between the intervals [[29/28]] and [[28/27]] (thus having the [[S-expression]] '''S28'''). The name comes from that [[7/6]] and [[29/24]] are separated by [[29/28]] and as are [[36/29]] and [[9/7]], where 9/7 is [[28/27]] below [[4/3]] and 7/6 is [[28/27]] above [[9/8]], therefore, tempering this comma adds the prime 29 to the [[2.3.7 subgroup]] with very high accuracy, yielding thirds obviously distinct flavours of thirds, as a third-tone lies between the two minor thirds (and hence the two major thirds). Importantly, this comma was not named the "bimajorisma" to further distance from association with an ''unrelated'' temperament named [[Bisupermajor]].

== Scales ==

=== Biminordene ===

Designed and named by [[Scott Dakota]], the JI pre-image is:

<pre>

28/27

9/8

7/6

9/7

4/3

81/56

3/2

14/9

12/7

7/4

27/14

2/1

</pre>

Which can be tempered using one's preferred tuning of [[#Biminoric|Biminoric]]. For example, using the [[POTE]] tuning of Biminoric yields:

<pre>

61.8726

204.5643

266.4369

435.8452

497.7179

640.4095

702.2821

764.1548

933.5631

968.7190

1138.1274

1200.0000

</pre>

== Temperaments ==

=== Biminoric ===

Subgroup: 2.3.7.29

Patent EDO tunings with <25% [[relative error]] on [[7/4]] and <20% [[relative error]] on [[29/16]]: 22, 27, 36, 41, 63, 77, 99, 113, 135, 140, 162, 176, 198, 203, 212, 217, 239, 275, 297, 302, 311, 316, 338, 352, 374, 379, 415, 437, 451, 473, 478, 487, 492, 514, 550, 555, 577, 591, 613, 627, 649, 654, 690, 726, 731, 767, 789, 825, 830, 866, 902, 1001

CTE generators: (2/1,) 3/2 = 702.169{{cent}}, 7/4 = 968.378{{cent}}

== Trivia ==

A form of this temperament being used in the song [https://on.soundcloud.com/fJWXc "Into The Spoogalaxy!"] by members of the [[XA Discord]] server for the 2023 Server vs. Server music competition, from which was invented a light-hearted alternative name "spoogalactic comma" thus implying a "[[spoogalactic temperament]]", but it is recommended to use the formal names "Biminoric" and "Biminorisma", the name proposed prior by [[Scott Dakota]], who had also spent time using the rank 3 temperament prior to suggesting names for the comma (of which "Biminorisma" was favoured by other members of the [[XA Discord]]).

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = spoogalactic comma, biminorisma
+| Name = biminorisma
 | Color name = twenuzozo 2nd, 29uzz2,<br>Twenuzozo comma
 }}
-'''784/783''', the '''spoogalactic comma''' or the '''biminorisma''', is a [[29-limit]] interval, and is the distance between the intervals [[29/28]] and [[28/27]] (thus having the [[S-expression]] '''S28'''). Tempering it out results in [[spoogalactic temperament]], the rank-3 temperament in the 2.3.7.29 subgroup. The names of the comma and temperament were proposed due to a form of this temperament being used in the song [https://on.soundcloud.com/fJWXc "Into The Spoogalaxy!"] by members of the Xenharmonic Alliance Discord server for the 2023 Server vs. Server music competition.
+'''784/783''', the '''biminorisma''', is a [[29-limit]] interval, and is the distance between the intervals [[29/28]] and [[28/27]] (thus having the [[S-expression]] '''S28'''). The name comes from that [[7/6]] and [[29/24]] are separated by [[29/28]] and as are [[36/29]] and [[9/7]], where 9/7 is [[28/27]] below [[4/3]] and 7/6 is [[28/27]] above [[9/8]], therefore, tempering this comma adds the prime 29 to the [[2.3.7 subgroup]] with very high accuracy, yielding thirds obviously distinct flavours of thirds, as a third-tone lies between the two minor thirds (and hence the two major thirds). Importantly, this comma was not named the "bimajorisma" to further distance from association with an ''unrelated'' temperament named [[Bisupermajor]].
+== Scales ==
+=== Biminordene ===
+Designed and named by [[Scott Dakota]], the JI pre-image is:
+<pre>
+/27
+/8
+/6
+/7
+/3
+/56
+/2
+/9
+/7
+/4
+/14
+/1
+</pre>
+Which can be tempered using one's preferred tuning of [[#Biminoric|Biminoric]]. For example, using the [[POTE]] tuning of Biminoric yields:
+<pre>
+.8726
+.5643
+.4369
+.8452
+.7179
+.4095
+.2821
+.1548
+.5631
+.7190
+.1274
+.0000
+</pre>
+== Temperaments ==
+=== Biminoric ===
+Subgroup: 2.3.7.29
+Patent EDO tunings with <25% [[relative error]] on [[7/4]] and <20% [[relative error]] on [[29/16]]: 22, 27, 36, 41, 63, 77, 99, 113, 135, 140, 162, 176, 198, 203, 212, 217, 239, 275, 297, 302, 311, 316, 338, 352, 374, 379, 415, 437, 451, 473, 478, 487, 492, 514, 550, 555, 577, 591, 613, 627, 649, 654, 690, 726, 731, 767, 789, 825, 830, 866, 902, 1001
+CTE generators: (2/1,) 3/2 = 702.169{{cent}}, 7/4 = 968.378{{cent}}
+== Trivia ==
+A form of this temperament being used in the song [https://on.soundcloud.com/fJWXc "Into The Spoogalaxy!"] by members of the [[XA Discord]] server for the 2023 Server vs. Server music competition, from which was invented a light-hearted alternative name "spoogalactic comma" thus implying a "[[spoogalactic temperament]]", but it is recommended to use the formal names "Biminoric" and "Biminorisma", the name proposed prior by [[Scott Dakota]], who had also spent time using the rank 3 temperament prior to suggesting names for the comma (of which "Biminorisma" was favoured by other members of the [[XA Discord]]).