1ed17/16 - Revision history

Lucius Chiaraviglio: Add Category:Nonoctave

2025-11-05T04:54:55Z

← Older revision		Revision as of 04:54, 5 November 2025
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	== See also ==		== See also ==
	* [[18edt]] — relative edt		* [[18edt]] — relative edt
			[[Category:Nonoctave]]

Lucius Chiaraviglio: /* By patent val mapping */ Additional explanation of implementation

2025-11-04T05:50:08Z

By patent val mapping: Additional explanation of implementation

← Older revision		Revision as of 05:50, 4 November 2025
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	=== By patent val mapping ===		=== By patent val mapping ===
	{{Interval table\|12ed582622237229761/281474976710656}}		{{Interval table\|12ed582622237229761/281474976710656}}
	(The above table is implemented as <nowiki>{{Interval table\|12ed582622237229761/281474976710656}}</nowiki>.)		(The above table is implemented as <nowiki>{{Interval table\|12ed582622237229761/281474976710656}}</nowiki>, the value used being (17/16)<sup>12</sup>.)

	== Instruments ==		== Instruments ==

Lucius Chiaraviglio: /* Intervals */ 1ed17/16 is rife with inconsistently-mapped intervals, including its own equave

2025-11-04T05:47:03Z

Intervals: 1ed17/16 is rife with inconsistently-mapped intervals, including its own equave

← Older revision		Revision as of 05:47, 4 November 2025
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	== Intervals ==		== Intervals ==
			Many intervals in 1ed17/16 are mapped inconsistently (including 17/16 itself, as noted above). The table of intervals by direct approximation differs considerably from the table of intervals by [[patent val]] [[mapping]].

			=== By direct approximation (even if inconsistent) ===
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
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	\| 35/17, 33/16, 27/13		\| 35/17, 33/16, 27/13
	\|}		\|}

			=== By patent val mapping ===
			{{Interval table\|12ed582622237229761/281474976710656}}
			(The above table is implemented as <nowiki>{{Interval table\|12ed582622237229761/281474976710656}}</nowiki>.)

	== Instruments ==		== Instruments ==

Overthink: fixed formatting

2025-11-04T00:19:31Z

fixed formatting

← Older revision		Revision as of 00:19, 4 November 2025
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	\| 1259.5		\| 1259.5
	\| 35/17, 33/16, 27/13		\| 35/17, 33/16, 27/13
			\|}
	== Instruments ==		== Instruments ==

Overthink: /* Intervals */ removed auto-generated table; isn't very useful

2025-11-04T00:18:11Z

Intervals: removed auto-generated table; isn't very useful

@@ Line 20: / Line 20: @@
 == Intervals ==
-{{Interval table}}
+{| class="wikitable"
 == Instruments ==

Lucius Chiaraviglio: /* Intervals */ Insert Instruments section after this with link to Lumatone mapping for 1ed17/16

2025-11-03T23:30:42Z

Intervals: Insert Instruments section after this with link to Lumatone mapping for 1ed17/16

← Older revision		Revision as of 23:30, 3 November 2025
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	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

			== Instruments ==

			A [[Lumatone mapping for 1ed17/16]] is available.

	== Music ==		== Music ==

Lucius Chiaraviglio: /* Harmonics */ Don't oversell closeness to 18edt

2025-11-03T03:21:28Z

Harmonics: Don't oversell closeness to 18edt

← Older revision		Revision as of 03:21, 3 November 2025
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	\| title=Approximation of harmonics in 1ed17/16 (continued)		\| title=Approximation of harmonics in 1ed17/16 (continued)
	}}		}}
	Note that this tuning is ~~very~~ close to [[18edt]], although by [[patent val]] [[mapping]] 18edt maps ~[[17/16]] inconsistently to 2\18edt instead of 1\18edt, while 1ed17/16 maps its own [[equave]] even more inconsistently, to 3\1ed17/16.		Note that this tuning is fairly close to [[18edt]], although by [[patent val]] [[mapping]] 18edt maps ~[[17/16]] inconsistently to 2\18edt instead of 1\18edt, while 1ed17/16 maps its own [[equave]] even more inconsistently, to 3\1ed17/16.

	== Intervals ==		== Intervals ==

Lucius Chiaraviglio: Create page for 1ed17/16 because music now exists for it

2025-11-03T03:13:08Z

Create page for 1ed17/16 because music now exists for it

New page

{{Stub}}
{{Infobox ET}}
{{ED intro}}

== Harmonics ==
{{Harmonics in equal
| steps = 1
| num = 17
| denom = 16
}}
{{Harmonics in equal
| steps = 1
| num = 17
| denom = 16
| start = 12
| collapsed = 1
| title=Approximation of harmonics in 1ed17/16 (continued)
}}
Note that this tuning is very close to [[18edt]], although by [[patent val]] [[mapping]] 18edt maps ~[[17/16]] inconsistently to 2\18edt instead of 1\18edt, while 1ed17/16 maps its own [[equave]] even more inconsistently, to 3\1ed17/16.

== Intervals ==
{{Interval table}}

== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/2tFoaxCOngI ''equal step 17/16''] (2025)

== See also ==
* [[18edt]] — relative edt