100ed10 - Revision history

Overthink: point link away from disambiguation

2026-03-21T02:57:08Z

point link away from disambiguation

← Older revision		Revision as of 02:57, 21 March 2026
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	{{Infobox ET}}		{{Infobox ET}}
	The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] being just instead of [[~~Octave\|~~2/1]].		The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] being just instead of [[2/1]].

	100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".		100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:20:33Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
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	* [14, -1, -1, -2⟩ (16384/15895)		* [14, -1, -1, -2⟩ (16384/15895)
	* [8, -1, -4, 2⟩ (73984/73205)		* [8, -1, -4, 2⟩ (73984/73205)

	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Ed10 using Cat-a-lot

2025-08-01T14:16:34Z

Removing from Category:Ed10 using Cat-a-lot

← Older revision		Revision as of 14:16, 1 August 2025
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	[[Category:Edonoi]]		[[Category:Edonoi]]
	~~[[Category:Ed10]]~~

JudeMason: small rephrasing

2025-01-06T03:22:37Z

small rephrasing

← Older revision		Revision as of 03:22, 6 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] instead of 2/1 ~~being just~~.		The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] being just instead of [[Octave\|2/1]].

	100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".		100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".

Plumtree: Infobox ET added

2022-10-05T20:46:49Z

Infobox ET added

← Older revision		Revision as of 20:46, 5 October 2022
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			{{Infobox ET}}
	The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] instead of 2/1 being just.		The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] instead of 2/1 being just.

Eliora: /* Theory */

2022-01-31T09:59:08Z

Theory

← Older revision		Revision as of 09:59, 31 January 2022
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	100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".		100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".
	== Theory ==		== Theory ==
	{{Harmonics in equal\|100\|10}}		{{Harmonics in equal\|100\|10\|columns=10}}
	The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm.		The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm.

	100ed10 contains a unique coincidence - it is contorted order-10 in the 2.5 subgroup, which makes up the number 10. In the 2.3.5, it is contorted order-2. While in the 7-limit it no longer has contorsion, the individual harmonics still do derive from smaller ED10s - 2.7 subgroup is contorted order-5. 100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves".		100ed10 contains a unique coincidence - it is contorted order-10 in the 2.5 subgroup, which makes up the number 10. In the 2.3.5, it is contorted order-2. While in the 7-limit it no longer has contorsion, the individual harmonics still do derive from smaller ED10s - 2.7 subgroup is contorted order-5. 100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves", and it is suitable with the following commas:

			* [7, -3, 0, 0⟩ (128/125)
			* [0, -5, 1, 2⟩ (3179/3125)
			* [7, 2, -1, -2⟩ (3200/3179)
			* [-1, -2, 4, -2⟩ (14641/14450)
			* [14, -1, -1, -2⟩ (16384/15895)
			* [8, -1, -4, 2⟩ (73984/73205)

	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Ed10]]		[[Category:Ed10]]

Eliora: /* Theory */

2022-01-22T20:03:21Z

Theory

← Older revision		Revision as of 20:03, 22 January 2022
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	100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".		100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt\|27ed3]] is labeled "Klingon tuning".
	== Theory ==		== Theory ==
	{{~~primes~~ in ~~edo~~\|~~edo=30.103~~}}		{{Harmonics in equal\|100\|10}}
	The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm.		The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm.

	100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves".		100ed10 contains a unique coincidence - it is contorted order-10 in the 2.5 subgroup, which makes up the number 10. In the 2.3.5, it is contorted order-2. While in the 7-limit it no longer has contorsion, the individual harmonics still do derive from smaller ED10s - 2.7 subgroup is contorted order-5. 100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves".

	~~100ed10 bears a base-10 coincidence aggregate. It's approximates of 2nd and 5th harmonics, which multiply to 10, are steps 30 and 70, which themselves derive form 10ed10.~~


	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Ed10]]		[[Category:Ed10]]

Eliora at 13:02, 17 October 2021

2021-10-17T13:02:02Z

← Older revision		Revision as of 13:02, 17 October 2021
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	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:~~ED10~~]]		[[Category:Ed10]]

Eliora at 13:01, 17 October 2021

2021-10-17T13:01:01Z

← Older revision		Revision as of 13:01, 17 October 2021
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	100ed10 bears a base-10 coincidence aggregate. It's approximates of 2nd and 5th harmonics, which multiply to 10, are steps 30 and 70, which themselves derive form 10ed10.		100ed10 bears a base-10 coincidence aggregate. It's approximates of 2nd and 5th harmonics, which multiply to 10, are steps 30 and 70, which themselves derive form 10ed10.


			[[Category:Edonoi]]
			[[Category:ED10]]

Eliora: Created page with "The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarith..."

2021-10-17T13:00:36Z

Created page with "The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarith..."

New page

The '''100 equal divisions of the 10th harmonic''' is a nonoctave tuning of about 39.8631 steps each. It corresponds to 30.102999 EDO, the first digits of the decimal logarithm of 2. It can be thought of as [[30edo]], but with [[10/1]] instead of 2/1 being just.

100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt|27ed3]] is labeled "Klingon tuning".
== Theory ==
{{primes in edo|edo=30.103}}
The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm.

100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves".

100ed10 bears a base-10 coincidence aggregate. It's approximates of 2nd and 5th harmonics, which multiply to 10, are steps 30 and 70, which themselves derive form 10ed10.