User:Aura/On 159edo Music Theory (Part 2) - Revision history

Aura: Starting a chart of the triads- this will take multiple edits to complete...

2026-03-31T15:49:00Z

Starting a chart of the triads- this will take multiple edits to complete...

← Older revision		Revision as of 15:49, 31 March 2026
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	== Perfect Fifth-Bounded Triads ==		== Perfect Fifth-Bounded Triads ==
	Because 159edo has so many notes, there are a lot of triads to go over just counting those bounded by the perfect fifth.		Because 159edo has so many notes, there are a lot of triads to go over just counting those bounded by the perfect fifth- in fact, there are as many as twenty-eight of them which can be treated as something other than the enharmonics of suspensions. With that in mind, we will cover these first.

			{\| class="wikitable"
			\|+Table of 159edo Perfect Triads
			\|-
			! Name
			! Notation (from D)
			! Steps
			! Approximate JI
			! Notes
			\|-
			\| Ptolemaic Major
			\| D, F#↓, A
			\| 0, 51, 93
			\| 4:5:6
			\| This is the first of two triads that can be considered fully-resolved in Baroque, Classical, and Romantic harmony
			\|-
			\| Ptolemaic Minor
			\| D, F↑, A
			\| 0, 42, 93
			\| 1/(4:5:6)
			\| This is the second of two triads that can be considered fully-resolved in Baroque, Classical, and Romantic harmony
			\|}

Aura at 07:10, 31 March 2026

2026-03-31T07:10:47Z

← Older revision		Revision as of 07:10, 31 March 2026
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	''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)\|Part 1]] prior to reading this article''		''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)\|Part 1]] prior to reading this article''

	Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads. To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself. One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these.		Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads. To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself. One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these due to the location of trill thresholds relative to both the top and bottom notes of the triad.

			== Perfect Fifth-Bounded Triads ==
			Because 159edo has so many notes, there are a lot of triads to go over just counting those bounded by the perfect fifth.

Aura at 06:52, 31 March 2026

2026-03-31T06:52:32Z

← Older revision		Revision as of 06:52, 31 March 2026
Line 1:		Line 1:
	''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)\|Part 1]] prior to reading this article''		''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)\|Part 1]] prior to reading this article''

	Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads.		Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads. To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself. One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these.

Aura: Creating page. I'll have to expand on the content of this page soon...

2026-03-31T06:46:01Z

Creating page. I'll have to expand on the content of this page soon...

New page

''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)|Part 1]] prior to reading this article''

Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads.