Catakleismic/13-limit chords - Revision history

FloraC: Fix linking

2025-08-27T13:37:30Z

Fix linking

← Older revision		Revision as of 13:37, 27 August 2025
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	Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[~~Ragismic family #Beyla\|~~beyla]], [[~~Marvel family #Hestia\|~~hestia]], [[~~Swetismic temperaments #Hypnos\|~~hypnos]], [[~~Marvel family #Catakleismoid\|~~catakleismoid]], [[~~Kleismic rank three family #Isimud\|~~isimud]], [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~\|unimarvel]] and [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[beyla]], [[hestia]], [[hypnos]], [[catakleismoid]], [[isimud]], [[marvel\|unimarvel]] and [[marvel\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.

Lériendil: Lériendil moved page Chords of tridecimal catakleismic to Catakleismic/13-limit chords

2025-06-22T21:52:25Z

Lériendil moved page Chords of tridecimal catakleismic to Catakleismic/13-limit chords

← Older revision	Revision as of 21:52, 22 June 2025
(No difference)

FloraC: Style +1

2023-09-15T05:50:08Z

Style +1

← Older revision		Revision as of 05:50, 15 September 2023
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	Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragismic family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragismic family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note ~~MOS~~ pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.

	== Triads ==		== Triads ==

FloraC: Update some links; style

2023-09-15T05:49:14Z

Update some links; style

← Older revision		Revision as of 05:49, 15 September 2023
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	Below are listed the 15-limit [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 ~~cents~~, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin ~~triad~~\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island ~~tetrad~~\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic ~~tetrad~~\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[~~Ragisma~~ family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragismic family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has ~~MOS~~ of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note ~~MOS~~, and with the 11-note MOS pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note MOS pentads appear.

	== Triads ==		== Triads ==

Xenllium at 00:12, 19 August 2023

2023-08-19T00:12:45Z

← Older revision		Revision as of 00:12, 19 August 2023
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	Below are listed the 15-limit [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[~~Dhanvantarismic~~ chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin triad\|marveltwin]], by [[351/350]] [[~~Ratwolf triad~~\|ratwolfsmic]], by [[676/675]] [[Island tetrad\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic tetrad\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragisma family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the 15-limit [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin triad\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island tetrad\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic tetrad\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragisma family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has MOS of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note MOS, and with the 11-note MOS pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has MOS of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note MOS, and with the 11-note MOS pentads appear.

FloraC: Recategorize

2023-05-23T11:39:10Z

Recategorize

← Older revision		Revision as of 11:39, 23 May 2023
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	[[Category:Lists of chords]]		[[Category:Lists of chords]]
	[[Category:Catakleismic]]		[[Category:Catakleismic]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:~~Hexad~~]]		[[Category:Hexads]]

Fredg999 category edits: Moving from Category:Chords to Category:Lists of chords using Cat-a-lot

2023-04-28T03:50:20Z

Moving from Category:Chords to Category:Lists of chords using Cat-a-lot

← Older revision		Revision as of 03:50, 28 April 2023
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	\|}		\|}

	[[Category:~~Chords~~]]		[[Category:Lists of chords]]
	[[Category:Catakleismic]]		[[Category:Catakleismic]]
	[[Category:Triad]]		[[Category:Triad]]

FloraC: Cleanup

2021-09-07T13:49:04Z

Cleanup

Show changes

FloraC: Cleanup

2021-09-07T13:46:02Z

Cleanup

← Older revision		Revision as of 13:46, 7 September 2021
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	Below are listed the 15-limit [[~~Dyadic_chord\|~~dyadic ~~chords~~]] of [[~~Kleismic_family#Catakleismic-~~13-limit\|tridecimal catakleismic ~~temperament~~]], subject to the condition that no interval smaller than [[~~12/11\|~~12/11]], at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 225/224 are labeled marvel, by 385/384 keenanismic, by 540/539 swetismic, by 169/168 dhanvantarismic, by 325/324 marveltwin, by 351/350 ratwolfsmic, by 676/675 island, by 729/728 squbemic, by 1001/1000 sinbadmic and by 1287/1280 catadictmic. [[~~Rank_and_codimension~~\|Codimension]] ~~two~~ temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank ~~three~~ temperaments are labeled [[~~Ragisma_family~~#Beyla~~-13-limit~~\|beyla]], [[~~Marvel_family~~#Hestia\|hestia]], [[~~Swetismic_temperaments~~#Hypnos~~-13-limit~~\|hypnos]], [[~~Marvel_family~~#Catakleismoid\|catakleismoid]], [[~~Kleismic_rank_three_family~~#Isimud\|isimud]], [[~~Marvel_family~~#~~Marvel~~\|unimarvel]] and [[~~Marvel_family~~#~~Marvel~~\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the 15-limit [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Dhanvantarismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin triad\|marveltwin]], by [[351/350]] [[Ratwolf triad\|ratwolfsmic]], by [[676/675]] [[Island tetrad\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic tetrad\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[Ragisma family #Beyla\|beyla]], [[Marvel family #Hestia\|hestia]], [[Swetismic temperaments #Hypnos\|hypnos]], [[Marvel family #Catakleismoid\|catakleismoid]], [[Kleismic rank three family #Isimud\|isimud]], [[Marvel family #Undecimal marvel (unimarv)\|unimarvel]] and [[Marvel family #Undecimal marvel (unimarv)\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[~~The_Archipelago\|~~the Archipelago]]. It has MOS of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note MOS, and with the 11-note MOS pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has MOS of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note MOS, and with the 11-note MOS pentads appear.

	=Triads=		=Triads=

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes