VectorGraphics at 19:37, 19 February 2025

2025-02-19T19:37:26Z

← Older revision		Revision as of 19:37, 19 February 2025
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	''Main article:'' ''[[User:VectorGraphics/16edo theory]]''		''Main article:'' ''[[User:VectorGraphics/16edo theory]]''

	16edo mavila is probably the most notable 16edo temperament and set of MOSes. In mavila temperament, four 3/2s (represented by 16edo's flat 9\16 fifth) make 6/5, making it somewhat of an "evil twin" to meantone, in which they make 5/4.		16edo mavila is probably the most notable 16edo temperament and set of MOSes. In mavila temperament, four 3/2s (represented by 16edo's flat 9\16 fifth) make 6/5, making it somewhat of an "evil twin" to meantone, in which they make 5/4. In terms of [[User:VectorGraphics/The spectrum of mediants\|mediants]], mavila fifths produce diatonic mediants in the "third" range whose relative size is swapped from diatonic, and thus range from 655 to 686 cents.

	{\| class="wikitable"		{\| class="wikitable"

VectorGraphics: Created page with "== 16edo scales and temperaments == 16edo contains several MOS patterns, with RTT interpretations. === Slendric === In 16edo slendric, the generator is 3\16, an arto third..."

2025-02-03T04:32:51Z

Created page with "== 16edo scales and temperaments == 16edo contains several MOS patterns, with RTT interpretations. === Slendric === In 16edo slendric, the generator is 3\16, an arto third..."

New page

== 16edo scales and temperaments ==

16edo contains several MOS patterns, with RTT interpretations.

=== Slendric ===
In 16edo slendric, the generator is 3\16, an arto third or supermajor second 8/7. Three generators make a 3/2, represented by 16edo's flat fifth 9\16, and in 16edo, two generators make 13/10. The slendric MOS #1 appears as the "slendric chord" in my [[User:VectorGraphics/16edo theory|mavila]] theory.
{| class="wikitable"
|+
!Note
!MOS #1
!MOS #2
!MOS #3
|-
|0
|#
|#
|#
|-
|1
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|2
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|#
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|3
|#
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|4
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|5
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|#
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|6
|#
|#
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|7
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|8
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|#
|-
|9
|#
|#
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|10
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|11
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|#
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|12
|#
|#
|#
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|13
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|-
|14
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|#
|-
|15
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|#
|#
|-
|16/0
|#
|#
|#
|}

=== Magic ===
In 16edo [[magic]], the generator is 5\16, a classical major third of 5/4, and five generators make 3/2, represented by 9\16.

{| class="wikitable"
!Note
!MOS #1
!MOS #2
!MOS #3
|-
|0
|#
|#
|#
|-
|1
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|-
|2
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|#
|-
|3
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|#
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|4
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|5
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|6
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|7
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|#
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|8
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|9
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|#
|#
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|10
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|#
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|11
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|12
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|#
|-
|13
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|#
|#
|-
|14
|#
|#
|#
|-
|15
|#
|#
|#
|-
|16/0
|#
|#
|#
|}
The series of MOSes made by magic is huge in 16edo, these are just the three most "interesting" examples. Magic MOS #1 is used in 16edo Ollatiu music in Quaternity.

=== Fendo ===
16edo is at the bottom of the [[fendo]] tuning range, with the generator, 6\16, essentially being exactly 13/10. Additionally, this is the only 16edo tuning to use the sharp fifth of 750c instead of the flat fifth of 675c.
{| class="wikitable"
!Note
!MOS #1
!MOS #2
|-
|0
|#
|#
|-
|1
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|-
|2
|#
|#
|-
|3
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|-
|4
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|#
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|5
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|6
|#
|#
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|7
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|8
|#
|#
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|9
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|10
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|#
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|11
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|#
|#
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|13
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|14
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|#
|-
|15
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|16/0
|#
|#
|}
The second "MOS" is actually 8edo, an equalized 5L3s.

=== Mavila ===
''Main article:'' ''[[User:VectorGraphics/16edo theory]]''

16edo mavila is probably the most notable 16edo temperament and set of MOSes. In mavila temperament, four 3/2s (represented by 16edo's flat 9\16 fifth) make 6/5, making it somewhat of an "evil twin" to meantone, in which they make 5/4.

{| class="wikitable"
!Note
!MOS #1
!MOS #2
!MOS #3
|-
|0
|#
|#
|#
|-
|1
|
|
|
|-
|2
|#
|#
|#
|-
|3
|
|
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|-
|4
|#
|#
|#
|-
|5
|
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|-
|6
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|#
|#
|-
|7
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|-
|8
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|#
|-
|9
|#
|#
|#
|-
|10
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|-
|11
|#
|#
|#
|-
|12
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|-
|13
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|#
|#
|-
|14
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|-
|15
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|#
|-
|16/0
|#
|#
|#
|}

== Fendo ==

There are several "fendo" scales (in which the fourth is used as a tendo third, represented in RTT by tempering out 40/39) available.

=== 5edo ===
{| class="wikitable"
!Note
!MOS #1
!MOS #2
|-
|0
|#
|#
|-
|1
|
|#
|-
|2
|#
|#
|-
|3
|
|#
|-
|4
|#
|#
|-
|5/0
|#
|#
|}
The second MOS is the entire scale, equivalent to an equalized antipentic.

=== 13edo ===
WIP

User:VectorGraphics/Interesting scales - Revision history

VectorGraphics at 19:37, 19 February 2025

VectorGraphics: Created page with "== 16edo scales and temperaments == 16edo contains several MOS patterns, with RTT interpretations. === Slendric === In 16edo slendric, the generator is 3\16, an arto third..."