FloraC: + category

2025-11-01T09:07:15Z

+ category

← Older revision		Revision as of 09:07, 1 November 2025
Line 31:		Line 31:
	== Etymology ==		== Etymology ==
	This comma's name was casually proposed by [[Lériendil]] in 2025 from the Greek root [[wiktionary: κακός\|''kak-'' ("bad")]], which is the antonym of ''kal-'' used to name the [[kalisma]].		This comma's name was casually proposed by [[Lériendil]] in 2025 from the Greek root [[wiktionary: κακός\|''kak-'' ("bad")]], which is the antonym of ''kal-'' used to name the [[kalisma]].

			[[Category:Commas named by translating something into another language]]

FloraC: Created page with "{{Infobox Interval | Name = kakisma | Comma = yes }} '''9802/9801''', the '''kakisma''', is an unnoticeable 29-limit (specifically 2.3.11.13.29-subgroup) comma measuring about 0.177{{cent}}. It is the amount by which a stack of two 33/26's fall short of 29/18. Alternatively, it is the amount by which 29/27 exceeds the difference between 13/11 and its fifth complement, 33/26. == Commatic relations == This comma may be f..."

2025-10-30T10:26:38Z

Created page with "{{Infobox Interval | Name = kakisma | Comma = yes }} '''9802/9801''', the '''kakisma''', is an unnoticeable 29-limit (specifically 2.3.11.13.29-subgroup) comma measuring about 0.177{{cent}}. It is the amount by which a stack of two 33/26's fall short of 29/18. Alternatively, it is the amount by which 29/27 exceeds the difference between 13/11 and its fifth complement, 33/26. == Commatic relations == This comma may be f..."

New page

{{Infobox Interval
| Name = kakisma
| Comma = yes
}}
'''9802/9801''', the '''kakisma''', is an [[unnoticeable comma|unnoticeable]] [[29-limit]] (specifically 2.3.11.13.29-subgroup) [[comma]] measuring about 0.177{{cent}}. It is the amount by which a stack of two [[33/26]]'s fall short of [[29/18]]. Alternatively, it is the amount by which [[29/27]] exceeds the difference between [[13/11]] and its [[fifth complement]], 33/26.

== Commatic relations ==
This comma may be found as the difference between the following superparticular ratios:
* [[364/363]] and [[378/377]]
* [[676/675]] and [[726/725]]
* [[2080/2079]] and [[2640/2639]]
* [[2784/2783]] and [[3888/3887]]
* [[4225/4224]] and [[7425/7424]]
* [[4901/4900]] and [[9801/9800]]
* [[5083/5082]] and [[10557/10556]]
* [[5104/5103]] and [[10648/10647]]
* [[6656/6655]] and [[20736/20735]]
* [[8281/8280]] and [[53361/53360]]
* [[8671/8670]] and [[75141/75140]]
* 9801/9800 and [[96059601/96059600]]

It factors into the following superparticular ratios:
* [[14365/14364]] and [[30856/30855]]
* [[13311/13310]] and [[37180/37179]]
* [[12673/12672]] and [[43264/43263]]
* [[12376/12375]] and [[47125/47124]]

== Temperaments ==
[[Tempering out]] this comma in the 2.3.11.13.29 subgroup leads to the rank-4 kakic temperament, or in the full 29-limit, the rank-9 kakismic temperament. In either case, it equates 29/27 with the difference between 13/11 and its fifth complement. Any [[13-limit]] temperament can be extended to include [[prime interval|prime]] [[29/1|29]] by tempering out this comma, but as we see above, such an extension works best with accurate 13/11's.

== Etymology ==
This comma's name was casually proposed by [[Lériendil]] in 2025 from the Greek root [[wiktionary: κακός|''kak-'' ("bad")]], which is the antonym of ''kal-'' used to name the [[kalisma]].

9802/9801 - Revision history

FloraC: + category