User:BudjarnLambeth/Ed255/128 - Revision history

BudjarnLambeth at 13:13, 18 May 2025

2025-05-18T13:13:17Z

← Older revision		Revision as of 13:13, 18 May 2025
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	{{Editable user page}}		{{Editable user page}}


	An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[6edo]].		An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[6edo]].

BudjarnLambeth: {{Editable user page}}

2025-05-18T02:59:06Z

← Older revision		Revision as of 02:59, 18 May 2025
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			{{Editable user page}}

	An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[6edo]].		An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[6edo]].

BudjarnLambeth: BudjarnLambeth moved page Ed255/128 to User:BudjarnLambeth/Ed255/128

2025-05-18T02:51:07Z

BudjarnLambeth moved page Ed255/128 to User:BudjarnLambeth/Ed255/128

← Older revision	Revision as of 02:51, 18 May 2025
(No difference)

BudjarnLambeth: Remove 8ed255/128 because despite improving all of them, it doesn’t improve any of the harmonics enough to make any of them useable (ie within 20c)

2024-12-14T07:41:14Z

Remove 8ed255/128 because despite improving all of them, it doesn’t improve any of the harmonics enough to make any of them useable (ie within 20c)

@@ Line 19: / Line 19: @@
 * 795.483
 * 994.353
 * 1193.224

BudjarnLambeth: Remove 5ed255/128 because it’s terrible

2024-12-14T07:39:13Z

Remove 5ed255/128 because it’s terrible

← Older revision		Revision as of 07:39, 14 December 2024
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	An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[~~5edo~~]].		An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[6edo]].

	Ed255/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed511/256.		Ed255/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed511/256.

	Ed255/128s are the complementary opposite of [[ed257/128]]s.		Ed255/128s are the complementary opposite of [[ed257/128]]s.

	~~== 5ed255/128 ==~~
	~~=== Harmonics ===~~
	~~{{Harmonics in equal\|5\|255\|128\|intervals=prime}}~~


	~~5edo, [[8edt]], [[14ed7]] for comparison:~~
	~~{{Harmonics in equal\|5\|intervals=prime\|collapsed=1}}~~
	~~{{Harmonics in equal\|8\|3\|1\|intervals=prime\|collapsed=1}}~~
	~~{{Harmonics in equal\|14\|7\|1\|intervals=prime\|collapsed=1}}~~

	~~=== Intervals ===~~
	* 238.645
	* 477.29
	* 715.934
	* 954.579
	* 1193.224


	== 6ed255/128 ==		== 6ed255/128 ==
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	[[6edo]] for comparison:		6edo for comparison:
	{{Harmonics in equal\|6\|intervals=odd\|collapsed=1}}		{{Harmonics in equal\|6\|intervals=odd\|collapsed=1}}

BudjarnLambeth at 13:04, 13 December 2024

2024-12-13T13:04:38Z

← Older revision		Revision as of 13:04, 13 December 2024
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	Ed255/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed511/256.		Ed255/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed511/256.

			Ed255/128s are the complementary opposite of [[ed257/128]]s.

	== 5ed255/128 ==		== 5ed255/128 ==
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	== Related concepts ==		== Related concepts ==
	* [[Ed257/128]]
	* [[Substitute harmonic]]		* [[Substitute harmonic]]
	* [[Equal-step tuning]]		* [[Equal-step tuning]]

	[[Category:Edonoi]][[Category:5edo]][[Category:5-tone scales]]		[[Category:Edonoi]][[Category:5edo]][[Category:5-tone scales]]

BudjarnLambeth at 13:01, 13 December 2024

2024-12-13T13:01:24Z

← Older revision		Revision as of 13:01, 13 December 2024
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	An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[5edo]].		An '''equal division of reduced harmonic 255''' ('''ed255/128''') is an [[equal-step tuning]] in which the octave-reduced 255th harmonic ([[255/128]]) is [[Just intonation\|justly tuned]] and is divided in a given number of equal steps. 255/128 is very close to the [[octave]], 2/1, but it is slightly flatter. This makes it suitable as an alternative to edos whose consonances are too sharp, such as [[5edo]].

			Ed255/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed511/256.

	== 5ed255/128 ==		== 5ed255/128 ==

BudjarnLambeth at 12:04, 13 December 2024

2024-12-13T12:04:11Z

← Older revision		Revision as of 12:04, 13 December 2024
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	[[54edo]] for comparison:		[[54edo]] for comparison:
	{{Harmonics in equal\|54\|intervals=prime\|collapsed=1}}		{{Harmonics in equal\|54\|intervals=prime\|collapsed=1}}



	~~== 59ed255/128 ==~~
	~~=== Harmonics ===~~
	~~{{Harmonics in equal\|59\|255\|128\|intervals=prime}}~~


	~~[[59edo]] for comparison:~~
	~~{{Harmonics in equal\|59\|intervals=prime\|collapsed=1}}~~



	~~== 64ed255/128 ==~~
	~~=== Harmonics ===~~
	~~{{Harmonics in equal\|64\|255\|128\|intervals=prime}}~~


	~~[[64edo]] for comparison:~~
	~~{{Harmonics in equal\|64\|intervals=prime\|collapsed=1}}~~

BudjarnLambeth at 11:52, 13 December 2024

2024-12-13T11:52:09Z

@@ Line 246: / Line 246: @@
 ** Undecimal lydian-aeolian pentatonic: '''8 14 3 11 6'''
 ** Yokai pentatonic: '''3 14 8 3 14'''
 == 49ed255/128 ==
@@ Line 254: / Line 256: @@
 [[49edo]] for comparison:
 {{Harmonics in equal|49|intervals=prime|collapsed=1}}
 == 54ed255/128 ==
@@ Line 262: / Line 266: @@
 [[54edo]] for comparison:
 {{Harmonics in equal|54|intervals=prime|collapsed=1}}

BudjarnLambeth: /* 6ed255/128 */ link

2024-12-13T08:35:45Z

6ed255/128: link

← Older revision		Revision as of 08:35, 13 December 2024
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	6edo for comparison:		[[6edo]] for comparison:
	{{Harmonics in equal\|6\|intervals=odd\|collapsed=1}}		{{Harmonics in equal\|6\|intervals=odd\|collapsed=1}}

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	* 994.353		* 994.353
	* 1193.224		* 1193.224


	== 8ed255/128 ==		== 8ed255/128 ==