Kite's thoughts on shadows - Revision history

TallKite: TallKite moved page Shadow to Kite's thoughts on shadows: Editor VectorGraphics has repeatedly edited pages I've written about my own research and inserted misinformation. On discord he is openly hostile to me. This move is necessary to avoid a toxic work environment for me.

2025-08-20T01:26:50Z

TallKite moved page Shadow to Kite's thoughts on shadows: Editor VectorGraphics has repeatedly edited pages I've written about my own research and inserted misinformation. On discord he is openly hostile to me. This move is necessary to avoid a toxic work environment for me.

← Older revision	Revision as of 01:26, 20 August 2025
(No difference)

BudjarnLambeth: Categorise uncategorised page

2024-12-16T02:42:07Z

Categorise uncategorised page

← Older revision		Revision as of 02:42, 16 December 2024
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	While a ratio in isolation has a specific (subjective) shadow size, context has an influence. For example in 12:14:16:19, 19/16 is generally not perceived as a tempered 6/5.		While a ratio in isolation has a specific (subjective) shadow size, context has an influence. For example in 12:14:16:19, 19/16 is generally not perceived as a tempered 6/5.

			[[Category:Psychoacoustics]]

TallKite: Created page with "When a simple (i.e. low integer-limit) ratio and a sufficiently more complex ratio are sufficiently close in cents, the complex one is generally perceived as..."

2024-12-16T00:48:41Z

Created page with "When a simple (i.e. low integer-limit) ratio and a sufficiently more complex ratio are sufficiently close in cents, the complex one is generally perceived as..."

New page

When a simple (i.e. low [[Integer limit|integer-limit]]) ratio and a sufficiently more complex ratio are sufficiently close in cents, the complex one is generally perceived as a tempered version of the simpler one. The simpler one is said to '''overshadow''' the more complex one. The simpler ratio's '''shadow size''' refers to how many cents it takes to be sufficiently close, and the simpler ratio's '''shadow''' is that range of cents both above and below that ratio. The simpler the ratio, the larger its shadow is. But shadow size is somewhat subjective, and tends to decrease with microtonal ear training.

For example, [[32/21]] at 729¢ is often perceived as 3/2 widened by 27¢. Whereas [[14/9]] at 765¢ is generally perceived as a distinctly different interval than 3/2. Thus 3/2's shadow size, at least to the untrained ear, is at least 27¢ ([[64/63]]) but less than 63¢ ([[28/27]]).

Shadow size is dependent on voicing: 21/16 is less often perceived as overshadowed by 4/3, because the two integer limits are closer. And 21/8 is even less often overshadowed by 8/3. Likewise, while 6/5 overshadows 19/16, 19/4 overshadows 24/5 (cents distance of [[96/95]] = 18¢ in both cases).

While a ratio in isolation has a specific (subjective) shadow size, context has an influence. For example in 12:14:16:19, 19/16 is generally not perceived as a tempered 6/5.