Talk:Fifth complement - Revision history

FloraC: re

2020-09-30T07:06:37Z

← Older revision		Revision as of 07:06, 30 September 2020
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	: Maybe an image would make the relations much more obvious but I currently don't have the time to create it. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:47, 29 September 2020 (UTC)		: Maybe an image would make the relations much more obvious but I currently don't have the time to create it. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:47, 29 September 2020 (UTC)

			: I see the point, but this is just one of the directions in looking for harmonic resources. It doesn't make much sense to those who prefer tritave complements to fifths complements. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:06, 30 September 2020 (UTC)

Xenwolf: /* Eleventh complement */ refer to a planned addition

2020-09-29T19:47:03Z

Eleventh complement: refer to a planned addition

← Older revision		Revision as of 19:47, 29 September 2020
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	<references/>		<references/>
	--[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:42, 29 September 2020 (UTC)		--[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:42, 29 September 2020 (UTC)

			: Maybe an image would make the relations much more obvious but I currently don't have the time to create it. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:47, 29 September 2020 (UTC)

Xenwolf: /* Eleventh complement */ new section

2020-09-29T19:42:39Z

Eleventh complement: new section

← Older revision		Revision as of 19:42, 29 September 2020
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	Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)		Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)
	: It's possible that this term existed before. But I don't remember that I heard or read of it. I also searched the web for it, no success so far. I admit that it's not such a huge step but this is typical for retrospection. The fifth is absolutely important for classical Western music but there is no fifth equivalence ... :) --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 06:35, 8 September 2020 (UTC)		: It's possible that this term existed before. But I don't remember that I heard or read of it. I also searched the web for it, no success so far. I admit that it's not such a huge step but this is typical for retrospection. The fifth is absolutely important for classical Western music but there is no fifth equivalence ... :) --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 06:35, 8 September 2020 (UTC)

			== Eleventh complement ==

			The fifth complement is only applicable to intervals that are smaller than the fifth. Their [[octave complement]]s don't have an equivalent. Because the octave complement can also be interpreted as mirroring on the [[unison]] axis, the [[wikipedia:multiplicative inverse\|multiplicative inverse]] of an interval can be taken (turning upward into downward intervals). Here we find the perfect downward fifth (2/3) which is octave-reduced into the fourth (<code>(2/3) * ([[2/1]]) → [[4/3]]</code>). The perfect eleventh ([[FJS]]:'''P11''', [[8/3]]) shares the same interval class but has the advantage that octave-reduction is already included if it is used as the completion target for intervals greater than [[3/2]] (see for example <code>[[8/3]]) / ([[5/3]]) → ([[8/5]]</code>). That's why I suggest to add the [[eleventh complement]] to the concept of [[fifth complement]]. In may opinion both should be described in the same article (preferably '''Fifth complement''') with a [[Help:redirect\|redirect]] added to the '''Eleventh complement''' lemma. As a consequence "normal" interval pages tend to build link rings of four like this <ref><small><u>'''Legend'''</u> <br> a, b, c, d: intervals <br> c8: octave complement <br> c5: fifth complement <br> c11: eleventh complement</small></ref>:
			a ↔<sup>c8</sup> b ↔<sup>c5</sup> c ↔<sup>c8</sup> d ↔<sup>c11</sup> a
			<references/>
			--[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 19:42, 29 September 2020 (UTC)

Xenwolf: added section and TOC

2020-09-29T19:12:28Z

added section and TOC

← Older revision		Revision as of 19:12, 29 September 2020
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			__TOC__
			== Naming and origin ==
	Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)		Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)
	: It's possible that this term existed before. But I don't remember that I heard or read of it. I also searched the web for it, no success so far. I admit that it's not such a huge step but this is typical for retrospection. The fifth is absolutely important for classical Western music but there is no fifth equivalence ... :) --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 06:35, 8 September 2020 (UTC)		: It's possible that this term existed before. But I don't remember that I heard or read of it. I also searched the web for it, no success so far. I admit that it's not such a huge step but this is typical for retrospection. The fifth is absolutely important for classical Western music but there is no fifth equivalence ... :) --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 06:35, 8 September 2020 (UTC)

Xenwolf: re

2020-09-08T06:35:49Z

← Older revision		Revision as of 06:35, 8 September 2020
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	Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)		Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 02:38, 8 September 2020 (UTC)
			: It's possible that this term existed before. But I don't remember that I heard or read of it. I also searched the web for it, no success so far. I admit that it's not such a huge step but this is typical for retrospection. The fifth is absolutely important for classical Western music but there is no fifth equivalence ... :) --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 06:35, 8 September 2020 (UTC)

FloraC: "history"

2020-09-08T02:38:54Z

"history"

New page

Oh is it really me who coined this term? By analogy of octave complement and in the desire to contrast major and minor keys, the concept should date back to classical era. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 02:38, 8 September 2020 (UTC)