Unnoticeable comma: Difference between revisions
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'''Unnoticeable commas''' are very small intervals. These [[comma]]s are called "unnoticeable" because | '''Unnoticeable commas''' are very small intervals. These [[comma]]s are called "unnoticeable" because they are smaller than 3.5{{cent}}, 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.) In [[Sagittal notation]], intervals in the smaller part of this category are [[schismina]]s, and intervals in the larger part of this category are [[schisma (interval region)|schismas]]<ref>[https://sagittal.org/sagittal.pdf ''Sagittal – A Microtonal Notation System''] by [[George Secor|George D. Secor]] and [[Dave Keenan|David C. Keenan]]</ref>. | ||
For commas over 100{{c}} in size, see [[Large comma]]; for commas in between 30–100{{c}} in size, see [[Medium comma]]; and for commas between 3.5–30{{c}} in size, see [[Small comma]]. | For commas over 100{{c}} in size, see [[Large comma]]; for commas in between 30–100{{c}} in size, see [[Medium comma]]; and for commas between 3.5–30{{c}} in size, see [[Small comma]]. | ||
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| [[Petr Pařízek]] (2011) | | [[Petr Pařízek]] (2011) | ||
|- | |- | ||
| [[ | | [[Vishnu comma]], semisuper comma | ||
| Sasepbiguma | | Sasepbiguma | ||
| s14gM | | s14gM | ||
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| [[Gene Ward Smith]] (2001), for ''semisuper comma'' | | [[Gene Ward Smith]] (2001), for ''semisuper comma'' | ||
|- | |- | ||
| [[Enneadeca]] | | [[Enneadeca]] | ||
| Neyoma | | Neyoma | ||
| 19yM | | 19yM | ||
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| [[Gene Ward Smith]] (2002) | | [[Gene Ward Smith]] (2002) | ||
|- | |- | ||
| [[Minortone comma]] | | [[Minortone comma]] | ||
| Trila-seguma | | Trila-seguma | ||
| 3L17gM | | 3L17gM | ||
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| [[Paul Erlich]], [[Gene Ward Smith]] (2001) | | [[Paul Erlich]], [[Gene Ward Smith]] (2001) | ||
|- | |- | ||
| Astro comma | | [[Astro comma]] | ||
| Tribisa-thiweguma | | Tribisa-thiweguma | ||
| 6s31gM | | 6s31gM | ||
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| {{Monzo| -70 72 -19 }} | | {{Monzo| -70 72 -19 }} | ||
| 0.79950 | | 0.79950 | ||
| [[ | | [[Xenllium]] (2022) | ||
|- | |- | ||
| [[Niobium comma]] | | [[Niobium comma]] | ||
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| [[Paul Erlich]], [[Gene Ward Smith]] (2002) | | [[Paul Erlich]], [[Gene Ward Smith]] (2002) | ||
|- | |- | ||
| Whoosh | | [[Whoosh comma]] | ||
| Saletriguma | | Saletriguma | ||
| s33gM | | s33gM | ||
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| [[Paul Erlich]] (2002) | | [[Paul Erlich]] (2002) | ||
|- | |- | ||
| Egads | | [[Egads comma]] | ||
| Setriyoma | | Setriyoma | ||
| 51yM | | 51yM | ||
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| [[Margo Schulter]] (2001) | | [[Margo Schulter]] (2001) | ||
|- | |- | ||
| Fortune | | [[Fortune comma]] | ||
| Tritrila-sepbiyoma | | Tritrila-sepbiyoma | ||
| 9L14yM | | 9L14yM | ||
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| [[Paul Erlich]] (2002) | | [[Paul Erlich]] (2002) | ||
|- | |- | ||
| Gross | | [[Gross comma]] | ||
| Quinbisa-foseguma | | Quinbisa-foseguma | ||
| 10s47gM | | 10s47gM | ||
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| [[Paul Erlich]] (2002) | | [[Paul Erlich]] (2002) | ||
|- | |- | ||
| Senior | | [[Senior comma]] | ||
| Quadla-sepquinguma | | Quadla-sepquinguma | ||
| 4L35gM | | 4L35gM | ||
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| [[Paul Erlich]] (2002) | | [[Paul Erlich]] (2002) | ||
|- | |- | ||
| [[Counterquectisma]], deltapion | | [[Counterquectisma]], deltapion comma | ||
| Quintritrilayoma | | Quintritrilayoma | ||
| 45LyM | | 45LyM | ||
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| {{Monzo| 73 77 -84 }} | | {{Monzo| 73 77 -84 }} | ||
| 0.18310 | | 0.18310 | ||
| [[ | | [[Xenllium]] (2026) | ||
|- | |- | ||
| [[Quectisma]] | | [[Quectisma]] | ||
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| [[User:CompactStar|CompactStar]] (2023) | | [[User:CompactStar|CompactStar]] (2023) | ||
|- | |- | ||
| Raider | | Raider comma | ||
| Tritrisa-thiseyoma | | Tritrisa-thiseyoma | ||
| 9s37yM | | 9s37yM | ||
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| [[Gene Ward Smith]] (2002) | | [[Gene Ward Smith]] (2002) | ||
|- | |- | ||
| Pirate | | Pirate comma | ||
| Quinla-sepsepyoma | | Quinla-sepsepyoma | ||
| 5L49yM | | 5L49yM | ||
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| [[Paul Erlich]] (2002) | | [[Paul Erlich]] (2002) | ||
|- | |- | ||
| Viking | | Viking comma | ||
| Nela-siweyoma | | Nela-siweyoma | ||
| 19L61yM | | 19L61yM | ||
| Line 1,247: | Line 1,247: | ||
| 0.14765 | | 0.14765 | ||
| [[User:Xenllium|Xenllium]] (2022) | | [[User:Xenllium|Xenllium]] (2022) | ||
|- | |||
| [[Tendoartisma]] | |||
| sasa-sethoguma | |||
| ss17(3o)17gM | |||
| <abbr title="8650415919381337933 / 8649755859375000000">(38 digits)</abbr> | |||
| {{Monzo| -6 -11 -17 0 0 17 }} | |||
| 0.13210 | |||
| [[User:FilterNashi|FilterNashi]] (2026) | |||
|- | |- | ||
| [[Pontigailimma]] | | [[Pontigailimma]] | ||
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| 0.23703 | | 0.23703 | ||
| [[Xenllium]] (2025) | | [[Xenllium]] (2025) | ||
|- | |||
| [[10241/10240|Tinisma]] | |||
| | |||
| | |||
| 10241/10240 | |||
| {{Monzo| -11 0 -1 2 1 0 0 1 }} | |||
| 0.16906 | |||
| [[Eufalesio]] (2026) | |||
|- | |- | ||
| Frouggie comma | | Frouggie comma | ||