User:Holger Stoltenberg/embed - Revision history

Holger Stoltenberg at 11:38, 5 February 2026

2026-02-05T11:38:15Z

← Older revision		Revision as of 11:38, 5 February 2026
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	<br><br><br><br>		<br><br><br><br>

	Fig.8 shows four varieties of what I call a ''crossover (x-over)'' ~~triad~~, all rooted at ~~the same pitch of~~ 0 cents. Crossover triads are neither diminished nor augmented. From a major ~~point of view~~, x-over chords incorporate a flattened third and a raised fifth. <br>		Fig.8 shows four varieties of what I call ''crossover (x-over) triads'', all of which are rooted at 0 cents. Crossover triads are neither diminished nor augmented. From a major perspective, x-over chords incorporate a flattened third and a raised fifth. <br>
	[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different ''crossover (x-over)'' triads.<br>		[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different ''crossover (x-over)'' triads.<br>
	Unlike minor or major chords, crossover triads are neither diminished nor augmented and do not incorporate a pure fifth.]]		Unlike minor or major chords, crossover triads are neither diminished nor augmented and do not incorporate a pure fifth.]]

Holger Stoltenberg: typo

2026-02-04T17:55:06Z

typo

← Older revision		Revision as of 17:55, 4 February 2026
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	\|mode10 dim (10:12:14)<br> \|\|[[File:TS_dim_L10-12-14_Eb_V03.mp3\|80px]]		\|mode10 dim (10:12:14)<br> \|\|[[File:TS_dim_L10-12-14_Eb_V03.mp3\|80px]]
	\|-		\|-
	\|~~mode8~~ dim (9:11:13)<br> \|\|[[File:TS_dim_L9-11-13_Eb_V03.mp3\|80px]]		\|mode9 dim (9:11:13)<br> \|\|[[File:TS_dim_L9-11-13_Eb_V03.mp3\|80px]]
	\|}		\|}

Holger Stoltenberg: Fig. 8 audio files integrated

2026-02-04T17:11:51Z

Fig. 8 audio files integrated

← Older revision		Revision as of 17:11, 4 February 2026
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	<br><br><br><br>		<br><br><br><br>

	~~'''WORK IN PROGRESS'''~~ Fig.8 shows four varieties of what I call a ''crossover (x-over)'' triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, x-over chords incorporate a flattened third and a raised fifth. <br>		Fig.8 shows four varieties of what I call a ''crossover (x-over)'' triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, x-over chords incorporate a flattened third and a raised fifth. <br>
	[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different ''crossover (x-over)'' triads.<br>		[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different ''crossover (x-over)'' triads.<br>
	Unlike minor or major chords, crossover triads are neither diminished nor augmented and do not incorporate a pure fifth.]]		Unlike minor or major chords, crossover triads are neither diminished nor augmented and do not incorporate a pure fifth.]]
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	!Play		!Play
	\|-		\|-
	\|~~mode26 min~~ (26:30:39)<br> \|\|[[File:~~TS_min_L26_D_V01~~.mp3\|80px]]		\|mode17 x-over (17:20:26)<br> \|\|[[File:TS_xover_L17-20-26_C++_V03.mp3\|80px]]
	\|-		\|-
	\|~~mode16 min~~ (16:19:24)<br> \|\|[[File:~~TS_min_L16_D_V01~~.mp3\|80px]]		\|mode14 x-over (14:17:22)<br> \|\|[[File:TS_xover_L14-17-22_C++_V03.mp3\|80px]]
	\|-		\|-
	\|~~mode12 min~~ (12:14:18)<br> \|\|[[File:~~TS_min_L12_D_V01~~.mp3\|80px]]		\|mode11 x-over (11:13:17)<br> \|\|[[File:TS_xover_L11-13-17_C++_V03.mp3\|80px]]
	\|-		\|-
	\|~~mode10 min~~ (10:12:15)<br> \|\|[[File:~~TS_min_L10_D_V01~~.mp3\|80px]]		\|mode9 x-over (9:11:14)<br> \|\|[[File:TS_xover_L9-11-14_C++_V03.mp3\|80px]]
	\|}		\|}

	<br>		<br>

Holger Stoltenberg at 13:46, 4 February 2026

2026-02-04T13:46:14Z

← Older revision		Revision as of 13:46, 4 February 2026
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	<br><br><br><br>		<br><br><br><br>

	'''WORK IN PROGRESS''' Fig.8 shows four varieties of what I call a ''crossover'' ~~(xover)~~ triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, ~~xover~~ chords incorporate a flattened third and a ~~sharp~~ fifth. <br>		'''WORK IN PROGRESS''' Fig.8 shows four varieties of what I call a ''crossover (x-over)'' triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, x-over chords incorporate a flattened third and a raised fifth. <br>
	[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different crossover (x-over) triads]]		[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different ''crossover (x-over)'' triads.<br>
			Unlike minor or major chords, crossover triads are neither diminished nor augmented and do not incorporate a pure fifth.]]
	:{\| class="wikitable"		:{\| class="wikitable"
	!Chord		!Chord

Holger Stoltenberg: Fig-8 updated, audio examples still have to be updated

2026-02-04T13:35:45Z

Fig-8 updated, audio examples still have to be updated

← Older revision		Revision as of 13:35, 4 February 2026
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	'''WORK IN PROGRESS''' Fig.8 shows four varieties of what I call a ''crossover'' (xover) triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, xover chords incorporate a flattened third and a sharp fifth. <br>		'''WORK IN PROGRESS''' Fig.8 shows four varieties of what I call a ''crossover'' (xover) triad, all rooted at the same pitch of 0 cents. Crossover triads are neither diminished nor augmented. From a major point of view, xover chords incorporate a flattened third and a sharp fifth. <br>
	[[File:Fig-~~7_tonal_space_1051i_min_02~~.png\|thumb\|430px\|right\|<u>Fig.7</u>: Selection of 4 different ~~minor~~ triads]]		[[File:Fig-8_tonal_space_867j_x-over_03.png\|thumb\|430px\|right\|<u>Fig.8</u>: Selection of 4 different crossover (x-over) triads]]
	:{\| class="wikitable"		:{\| class="wikitable"
	!Chord		!Chord

Holger Stoltenberg: Work in progress...

2026-02-04T11:15:19Z

Work in progress...

@@ Line 86: / Line 86: @@
 |mode10 min (10:12:15)<br> ||[[File:TS_min_L10_D_V01.mp3|80px]]
 |}
 <br>

Holger Stoltenberg at 21:06, 1 February 2026

2026-02-01T21:06:28Z

← Older revision		Revision as of 21:06, 1 February 2026
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	\|}		\|}

	~~'''WORK IN PROGRESS'''~~ Fig.7 shows a selection of four different minor chords. <br>		Fig.7 shows a selection of four different minor chords. <br>
	[[File:Fig-7_tonal_space_1051i_min_02.png\|thumb\|430px\|right\|<u>Fig.7</u>: Selection of 4 different minor triads]]		[[File:Fig-7_tonal_space_1051i_min_02.png\|thumb\|430px\|right\|<u>Fig.7</u>: Selection of 4 different minor triads]]
	:{\| class="wikitable"		:{\| class="wikitable"

Holger Stoltenberg: Finalized integration of minor chords

2026-02-01T21:03:21Z

Finalized integration of minor chords

← Older revision		Revision as of 21:03, 1 February 2026
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	Fig.5 shows a comparison of four augmented chords that sound quite different. <br>		Fig.5 shows a comparison of four augmented chords that sound quite different. <br>
	Listen to the following audio examples...		Listen to the following audio examples...
	[[File:Fig-5 tonal space 753i aug.png\|thumb\|~~420px~~\|right\|<u>Fig.5</u>: Selection of different augmented chords]]		[[File:Fig-5 tonal space 753i aug.png\|thumb\|430px\|right\|<u>Fig.5</u>: Selection of different augmented chords]]
	:{\| class="wikitable"		:{\| class="wikitable"
	!Chord		!Chord
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	Fig.6 shows a comparison of five different diminished chords. <br>		Fig.6 shows a comparison of five different diminished chords. <br>
	[[File:Fig-6_tonal_space_864i_dim_III.png\|thumb\|~~420px~~\|right\|<u>Fig.6</u>: Selection of 5 different diminished triads]]		[[File:Fig-6_tonal_space_864i_dim_III.png\|thumb\|430px\|right\|<u>Fig.6</u>: Selection of 5 different diminished triads]]
	:{\| class="wikitable"		:{\| class="wikitable"
	!Chord		!Chord
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	'''WORK IN PROGRESS''' Fig.7 shows a selection of four different minor chords. <br>		'''WORK IN PROGRESS''' Fig.7 shows a selection of four different minor chords. <br>
	[[File:Fig-7_tonal_space_1051i_min_02.png\|thumb\|~~420px~~\|right\|<u>Fig.7</u>: Selection of 4 different minor triads]]		[[File:Fig-7_tonal_space_1051i_min_02.png\|thumb\|430px\|right\|<u>Fig.7</u>: Selection of 4 different minor triads]]
	:{\| class="wikitable"		:{\| class="wikitable"
	!Chord		!Chord
	!Play		!Play
	\|-		\|-
	\|mode26 min (26:30:39)<br> \|\|[[File:~~TS_dim_L16-19-22_Eb_V03~~.mp3\|80px]]		\|mode26 min (26:30:39)<br> \|\|[[File:TS_min_L26_D_V01.mp3\|80px]]
	\|-		\|-
	\|mode16 min (16:19:24)<br> \|\|[[File:~~TS_dim_L14-17-20_Eb_V03~~.mp3\|80px]]		\|mode16 min (16:19:24)<br> \|\|[[File:TS_min_L16_D_V01.mp3\|80px]]
	\|-		\|-
	\|mode12 min (12:14:18)<br> \|\|[[File:~~TS_dim_L11-13-15_Eb_V03~~.mp3\|80px]]		\|mode12 min (12:14:18)<br> \|\|[[File:TS_min_L12_D_V01.mp3\|80px]]
	\|-		\|-
	\|mode10 min (10:12:15)<br> \|\|[[File:~~TS_dim_L10-12-14_Eb_V03~~.mp3\|80px]]		\|mode10 min (10:12:15)<br> \|\|[[File:TS_min_L10_D_V01.mp3\|80px]]
	\|}		\|}
	<br>		<br>

Holger Stoltenberg: Selection of 4 minor chords added

2026-02-01T14:44:46Z

Selection of 4 minor chords added

@@ Line 70: / Line 70: @@
 |-
 |mode8 dim (9:11:13)<br>   ||[[File:TS_dim_L9-11-13_Eb_V03.mp3|80px]]
 |}
 <br>

Holger Stoltenberg: more dim chords added (Fig.6)

2026-01-29T17:49:37Z

more dim chords added (Fig.6)

← Older revision		Revision as of 17:49, 29 January 2026
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	\|}		\|}

	~~WORK IN PROGRESS~~ Fig.6 shows a comparison of five diminished chords ~~that sound quite different~~. <br>		Fig.6 shows a comparison of five different diminished chords. <br>
	[[File:Fig-6_tonal_space_864i_dim_III.png\|thumb\|420px\|right\|<u>Fig.6</u>: Selection of 5 different diminished triads]]		[[File:Fig-6_tonal_space_864i_dim_III.png\|thumb\|420px\|right\|<u>Fig.6</u>: Selection of 5 different diminished triads]]
	:{\| class="wikitable"		:{\| class="wikitable"
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	\|mode16 dim (16:19:22)<br> \|\|[[File:TS_dim_L16-19-22_Eb_V03.mp3\|80px]]		\|mode16 dim (16:19:22)<br> \|\|[[File:TS_dim_L16-19-22_Eb_V03.mp3\|80px]]
	\|-		\|-
	\|mode14 ~~aug~~ (14:18:22)<br>~~sounds equal to (7:9:11)~~\|\|[[File:~~TS_aug_L14_C_P~~-~~I_Fig~~-5.mp3\|80px]]		\|mode14 dim (14:17:20)<br> \|\|[[File:TS_dim_L14-17-20_Eb_V03.mp3\|80px]]
	\|-		\|-
	\|mode11 ~~aug~~ (11:14:17)<br>~~no, this is not major...~~\|\|[[File:~~TS_aug_L11~~-14-~~17_C_P-I_Fig-5~~.mp3\|80px]]		\|mode11 dim (11:13:15)<br> \|\|[[File:TS_dim_L11-13-15_Eb_V03.mp3\|80px]]
	\|-		\|-
	\|mode10 ~~aug~~ (10:13:16)<br>~~extra wide 3rd~~\|\|[[File:~~TS_aug_L10_C_P~~-~~I_Fig~~-5.mp3\|80px]]		\|mode10 dim (10:12:14)<br> \|\|[[File:TS_dim_L10-12-14_Eb_V03.mp3\|80px]]
	\|-		\|-
	~~\|style="background-color:#e2e2e2;"~~ \|mode8 ~~maj~~ (8:10:12)<br>~~'''pure major''' for reference\|~~\|~~style="background-color:#e2e2e2;"~~ \|[[File:~~TS_maj_lin_8_C_P~~-~~I_Fig~~-5.mp3\|80px]]		\|mode8 dim (9:11:13)<br> \|\|[[File:TS_dim_L9-11-13_Eb_V03.mp3\|80px]]
	\|}		\|}
	<br>		<br>