91edo: Difference between revisions

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== Regular temperament properties ==

{~~| class="wikitable center-4 center-5 center-6"~~

~~! rowspan="2" | [[Subgroup]]~~

~~! rowspan="2" | [[Comma list|Comma List]]~~

~~! rowspan="2" | [[Mapping]]~~

~~! rowspan="2" | Optimal 8ve Stretch (¢)~~

~~! colspan="2" | Tuning Error~~

|-

~~! [[TE error|Absolute]] (¢)~~

~~! [[TE simple badness|Relative]] (%)~~

|-

| 2.3

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| 0.860

| 6.51

|}

=== Rank-2 temperaments ===

{~~| class="wikitable center~~-~~all left-5"~~

~~! Periods per 8ve~~

! Generator*

! Cents*

! Associated Ratio*

~~! Temperaments~~

|-

| 1

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| 4/3 (265/252)

| [[Trideci]] (91) [[Aluminium]] (91c)

|}

~~<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct~~

† derived from scales in the Scales section, official name not decided upon yet.

&dagger; derived from scales in the Scales section, official name not decided upon yet.

== Interval table ==

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== Other notations ==

=== Eliora's notation ===

[[User:Eliora|Eliora]], who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13 - 7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The 7 + 13 naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.

[[User:Eliora|Eliora]], who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13—7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The {{nowrap|7 + 13}} naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.

{| class="wikitable mw-collapsible"

|+ style=white-space:nowrap | Table of intervals in 91edo

|+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 91edo

! #

|

! #

! Eliora's Naming System

! Eliora's Notation

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|-

| 0

| unison perfect prime perfect prota

| unison perfect prime perfect prota

| A Az (А)

| [[1/1]]

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== Music ==

; [[Mercury Amalgam]]

* ''Sadness - Nope'' (2022) – [https://mercuryamalgam.bandcamp.com/track/sadness-nope-the-molecular-agoge-pt-2 Bandcamp] | [https://www.youtube.com/watch?v=_5WS7AGZxm4 YouTube]

; [[Chris Vaisvil]]

* ''DPRK ISON CHASE'' (2014) – [http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/ blog] | [https://www.youtube.com/watch?v=StCR6hcm5tM YouTube]

[[Category:Animist]]

[[Category:Frostmic]]

[[Category:Listen]]

[[Category:Quartismic]]

[[Category:Septimin]]

[[Category:Tripod]]

~~[[Category:Listen]]~~

@@ Line 19: / Line 19: @@
 == Regular temperament properties ==
-{| class="wikitable center-4 center-5 center-6"
+{{comma basis begin}}
-! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|Comma List]]
-! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br>8ve Stretch (¢)
-! colspan="2" | Tuning Error
-|-
-! [[TE error|Absolute]] (¢)
-! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
@@ Line 49: / Line 41: @@
 | 0.860
 | 6.51
-|}
+{{comma basis end}}
 === Rank-2 temperaments ===
-{| class="wikitable center-all left-5"
+{{rank-2 begin}}
-! Periods<br>per 8ve
-! Generator*
-! Cents*
-! Associated<br>Ratio*
-! Temperaments
 |-
 | 1
@@ Line 130: / Line 117: @@
 | 4/3<br>(265/252)
 | [[Trideci]] (91)<br>[[Aluminium]] (91c)
-|}
+{{rank-2 end}}
-<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+{{orf}}
-† derived from scales in the Scales section, official name not decided upon yet.
+<sup>&dagger;</sup> derived from scales in the Scales section, official name not decided upon yet.
 == Interval table ==
@@ Line 140: / Line 127: @@
 == Other notations ==
 === Eliora's notation ===
-[[User:Eliora|Eliora]], who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13 - 7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The 7 + 13 naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.
+[[User:Eliora|Eliora]], who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13&mdash;7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The {{nowrap|7 + 13}} naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.
 {| class="wikitable mw-collapsible"
-|+ style=white-space:nowrap | Table of intervals in 91edo
+|+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 91edo
-! #
+|
+! &#35;
 ! Eliora's Naming System
 ! Eliora's Notation
@@ Line 150: / Line 138: @@
 |-
 | 0
-| unison <br>perfect prime <br>perfect prota
+| unison<br>perfect prime <br>perfect prota
 | A <br>Az (А)
 | [[1/1]]
@@ Line 487: / Line 475: @@
 == Music ==
 ; [[Mercury Amalgam]]
-* ''Sadness - Nope'' (2022) – [https://mercuryamalgam.bandcamp.com/track/sadness-nope-the-molecular-agoge-pt-2 Bandcamp] | [https://www.youtube.com/watch?v=_5WS7AGZxm4 YouTube]
+* ''Sadness - Nope'' (2022) &ndash; [https://mercuryamalgam.bandcamp.com/track/sadness-nope-the-molecular-agoge-pt-2 Bandcamp] | [https://www.youtube.com/watch?v=_5WS7AGZxm4 YouTube]
 ; [[Chris Vaisvil]]
-* ''DPRK ISON CHASE'' (2014) – [http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/ blog] | [https://www.youtube.com/watch?v=StCR6hcm5tM YouTube]
+* ''DPRK ISON CHASE'' (2014) &ndash; [http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/ blog] | [https://www.youtube.com/watch?v=StCR6hcm5tM YouTube]
 [[Category:Animist]]
 [[Category:Frostmic]]
+[[Category:Listen]]
 [[Category:Quartismic]]
 [[Category:Septimin]]
 [[Category:Tripod]]
-[[Category:Listen]]