User:FloraC/Sandbox: Difference between revisions

Line 22:

Comment: doesn't actually look great

== ~~Test~~ [[~~User~~:~~FloraC~~/~~Collapsed box~~]] ==

== Septimal meantone ==

<span style="display: block; text-align: right;">[[:de:septimal-mitteltönig|Deutsch]]</span>

The [[7/4]] of septimal meantone is the augmented sixth, C-A#, and other septimal intervals are [[7/6]], C-D#, the augmented second, [[7/5]], C-F#, the tritone, and [[21/16]], C-E#, the augmented third. Septimal meantone also tempers out the common 7-limit comma [[225/224]] and is in fact can be defined as the 7-limit temperament that tempers out 81/80 and 225/224.

Period: 1\1

Line 29:

Line 36:

EDO generators: [[12edo|7\12]], [[19edo|11\19]], [[31edo|18\31]], [[43edo|25\43]], [[50edo|29\50]]

Scales: [[Meantone5]], [[Meantone7]], [[Meantone12]]

Scales (Scala files): [[Meantone5]], [[Meantone7]], [[Meantone12]]

<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>

~~{{User:FloraC/Collapsed box~~

~~| title = Interval table (12-note MOS, 2.3.5.7 POTE tuning)~~

~~| text =~~

{| class="wikitable right-1 right-2 sortable"

|+

|-

! #

Line 88:

Line 97:

| 21/16

|}

}}

~~{{User~~:~~FloraC/Collapsed box|title~~ = Technical data ~~|text~~ =

<div style="line-height:1.6;">Technical data</div>

Subgroup: 2.3.5.7

Comma list: 81/80, 126/125

[[Comma]] list: 81/80, 126/125

[[Mapping]]: [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10 }}]

[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]

Mapping generators: ~2, ~3

Line 101:

Line 114:

[[Minimax tuning]]:

* 7- and [[9-odd-limit]]

: [{{Monzo| 1 0 0 0 }}, {{Monzo| 1 0 1/4 0 }}, {{Monzo| 0 0 1 0 }}, {{Monzo| -3 0 5/2 0 }}]

Line 107:

Line 119:

[[Tuning ranges]]:

* ~~Valid~~ range: [694.737, 700.000] (19 to 12)

* valid range: [694.737, 700.000] (19 to 12)

* ~~Nice~~ range: [694.786, 701.955]

* nice range: [694.786, 701.955]

* ~~Strict~~ range: [694.786, 700.000]

* strict range: [694.786, 700.000]

Algebraic generator: Cybozem, the real root of 15''x''<sup>3</sup> - 10''x''<sup>2</sup> - 18, which comes to 503.4257 cents. The recurrence converges quickly.

Line 116:

Line 128:

[[Badness]]: 0.0137

}}

</div></div>

Comment: This provides much more freedom. Looks great to me by this very formatting.

Note:

# Order: comma list, mapping, mapping generators (or simply "generators", this is the same thing), wedgie, minimax tuning, tuning ranges, algebraic generator, vals, badness, complexity spectrum.

# Order: subgroup, comma list, mapping, mapping generators (or simply "generators", this is the same thing), wedgie, minimax tuning, tuning ranges, algebraic generator, vals, badness, complexity spectrum.

# Comma list shows the simplest commas sufficient to define the temperament. This must be stated somewhere in this wiki.

# Mapping generators should show all the ratios as used in the mapping, including the period.

@@ Line 22: / Line 22: @@
 Comment: doesn't actually look great
-== Test [[User:FloraC/Collapsed box]] ==
+== Septimal meantone ==
+<span style="display: block; text-align: right;">[[:de:septimal-mitteltönig|Deutsch]]</span>
+{{main| Meantone }}
+{{see also| Wikipedia: Septimal meantone temperament }}
+The [[7/4]] of septimal meantone is the augmented sixth, C-A#, and other septimal intervals are [[7/6]], C-D#, the augmented second, [[7/5]], C-F#, the tritone, and [[21/16]], C-E#, the augmented third. Septimal meantone also tempers out the common 7-limit comma [[225/224]] and is in fact can be defined as the 7-limit temperament that tempers out 81/80 and 225/224.
 Period: 1\1
@@ Line 29: / Line 36: @@
 EDO generators: [[12edo|7\12]], [[19edo|11\19]], [[31edo|18\31]], [[43edo|25\43]], [[50edo|29\50]]
-Scales: [[Meantone5]], [[Meantone7]], [[Meantone12]]
+Scales (Scala files): [[Meantone5]], [[Meantone7]], [[Meantone12]]
+<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
+<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>
+<div class="mw-collapsible-content">
-{{User:FloraC/Collapsed box
-| title = Interval table (12-note MOS, 2.3.5.7 POTE tuning)
-| text =
 {| class="wikitable right-1 right-2 sortable"
+|+
 |-
 ! #
@@ Line 88: / Line 97: @@
 | 21/16
 |}
-<references/>
+<references/></div></div>
-}}
-{{User:FloraC/Collapsed box|title = Technical data |text =
+<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
+<div style="line-height:1.6;">Technical data</div>
+<div class="mw-collapsible-content">
+Subgroup: 2.3.5.7
-Comma list: 81/80, 126/125
+[[Comma]] list: 81/80, 126/125
-[[Mapping]]: [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10 }}]
+[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]
 Mapping generators: ~2, ~3
@@ Line 101: / Line 114: @@
 [[Minimax tuning]]:
 * 7- and [[9-odd-limit]]
 : [{{Monzo| 1 0 0 0 }}, {{Monzo| 1 0 1/4 0 }}, {{Monzo| 0 0 1 0 }}, {{Monzo| -3 0 5/2 0 }}]
@@ Line 107: / Line 119: @@
 [[Tuning ranges]]:
-* Valid range: [694.737, 700.000] (19 to 12)
+* valid range: [694.737, 700.000] (19 to 12)
-* Nice range: [694.786, 701.955]
+* nice range: [694.786, 701.955]
-* Strict range: [694.786, 700.000]
+* strict range: [694.786, 700.000]
 Algebraic generator: Cybozem, the real root of 15''x''<sup>3</sup> - 10''x''<sup>2</sup> - 18, which comes to 503.4257 cents. The recurrence converges quickly.
@@ Line 116: / Line 128: @@
 [[Badness]]: 0.0137
-}}
+</div></div>
 Comment: This provides much more freedom. Looks great to me by this very formatting.
 Note:
-# Order: comma list, mapping, mapping generators (or simply "generators", this is the same thing), wedgie, minimax tuning, tuning ranges, algebraic generator, vals, badness, complexity spectrum.
+# Order: subgroup, comma list, mapping, mapping generators (or simply "generators", this is the same thing), wedgie, minimax tuning, tuning ranges, algebraic generator, vals, badness, complexity spectrum.
 # Comma list shows the simplest commas sufficient to define the temperament. This must be stated somewhere in this wiki.
 # Mapping generators should show all the ratios as used in the mapping, including the period.