Unnoticeable comma: Difference between revisions
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'''Unnoticeable commas''' are very small intervals. These [[comma]]s are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak | '''Unnoticeable commas''' are very small intervals. These [[comma]]s are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak [[just-noticeable difference]] (JND) of human pitch perception, as illustrated by the research of [[Aaron Andrew Hunt]]<ref>[http://musictheory.zentral.zone/huntsystem2.html#2 H-Pi Instruments | ''Hunt System Scale §The JND'']</ref>. It is improbable that even a trained listener would be able to notice these intervals, and as such they are a prime target for psychoacoustically informed [[microtempering]]. (However, a considerably larger comma can be unnoticeable in an [[adaptive just intonation|adaptive]] tuning context. Instead of one large pitch shift of the entire comma, there can be many small pitch shifts of a fraction of a comma, one per chord change. Given this, a noticeable 3-limit comma that arguably deserves inclusion is the [[mercator comma]], corresponding to using [[53edo]] for the circle of fifths.) | ||
For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas over 3.5 cents in size, see [[Small comma]]. | For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas over 3.5 cents in size, see [[Small comma]]. | ||
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| {{Monzo| -15 8 1 }} | | {{Monzo| -15 8 1 }} | ||
| 1.9537 | | 1.9537 | ||
| Hermann von Helmholtz, Alexander Ellis (1875) | | [[Hermann von Helmholtz]], [[Alexander Ellis]] (1875) | ||
|- | |- | ||
| [[Aluminium comma]] | | [[Aluminium comma]] | ||
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| [[User:Xenllium|Xenllium]] (2021) | | [[User:Xenllium|Xenllium]] (2021) | ||
|- | |- | ||
| [[ | | [[Slendroschisma]], slendric schisma | ||
| Sasa-quinbiru | | Sasa-quinbiru | ||
| ss10r-4 | | ss10r-4 | ||
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| {{monzo| 36 -5 0 -10 }} | | {{monzo| 36 -5 0 -10 }} | ||
| 1.9659 | | 1.9659 | ||
| [[User:Xenllium|Xenllium]] (2024) | | [[User:Xenllium|Xenllium]] (2024), <br>modified by [[Flora Canou]] (2025) | ||
|- | |- | ||
| [[Septimal ennealimma]] | | [[Septimal ennealimma]] | ||
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| [[User:Eliora|Eliora]] (2023) | | [[User:Eliora|Eliora]] (2023) | ||
|- | |- | ||
| [[ | | [[Syntonoschisma]] | ||
| Trisa-lusepyo | | Trisa-lusepyo | ||
| 3s1u7y2 | | 3s1u7y2 | ||
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| {{Monzo| 13 5 -5 -2 0 -1 }} | | {{Monzo| 13 5 -5 -2 0 -1 }} | ||
| 0.026960 | | 0.026960 | ||
| [[User:Recentlymaterialized|Recentlymaterialized]] | | [[User:Recentlymaterialized|Recentlymaterialized]] (2024) | ||
|- | |- | ||
| [[Grossmisma]] | | [[Grossmisma]] | ||
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| 17oo3ugg2 | | 17oo3ugg2 | ||
| 2601/2600 | | 2601/2600 | ||
| {{Monzo| -3 2 -2 0 0 1 | | {{Monzo| -3 2 -2 0 0 -1 2 }} | ||
| 0.66573 | | 0.66573 | ||
| [[Flora Canou]] (2023) | | [[Flora Canou]] (2023) | ||
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| [[User:Xenllium|Xenllium]] (2025) | | [[User:Xenllium|Xenllium]] (2025) | ||
|- | |- | ||
| [[1197/1196| | | [[1197/1196|Rodessisma]] | ||
| Twethunothuzo | | Twethunothuzo | ||
| 23u19o3uz1 | | 23u19o3uz1 | ||
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| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }} | | {{Monzo| -2 2 0 1 0 -1 0 1 -1 }} | ||
| 1.4469 | | 1.4469 | ||
| [[ | | [[Lériendil]] (2025) | ||
|- | |- | ||
| [[1288/1287|Triaphonisma]], santisma | | [[1288/1287|Triaphonisma]], santisma | ||
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| 23oozzg3 | | 23oozzg3 | ||
| 25921/25920 | | 25921/25920 | ||
| 2.3.5.7.23 {{monzo| 6 -4 -1 2 2 }} | | 2.3.5.7.23 {{monzo| -6 -4 -1 2 2 }} | ||
| 0.066790 | | 0.066790 | ||
| [[Flora Canou]] (2023), modified by [[Lériendil]] (2024) | | [[Flora Canou]] (2023), modified by [[Lériendil]] (2024) |