User:Ganaram inukshuk/TAMNAMS/Appendix - Revision history

Ganaram inukshuk at 22:59, 10 August 2024

2024-08-10T22:59:54Z

← Older revision		Revision as of 22:59, 10 August 2024
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	This temperament is supported by {{Optimal ET sequence\| 7, 10 and 17 }} equal divisions, with non-patent val tunings including (but not limited to) 7+7=14cd, 10+10=20e, 17+7=24cd, and 17+10=27ce.		This temperament is supported by {{Optimal ET sequence\| 7, 10 and 17 }} equal divisions, with non-patent val tunings including (but not limited to) 7+7=14cd, 10+10=20e, 17+7=24cd, and 17+10=27ce.
	====Armotonic (7L 2s)====		====Armotonic (7L 2s)====
	Originally, the name ''superdiatonic'' was used for 7L 2s, as it has seen some precedent of use on the wiki to refer to an octave-equivalent 7L 2s pattern, although it has had earlier use to refer to the expansion of a smaller mos to a larger one:		Originally, the name ''superdiatonic'' was used for 7L 2s, as it has seen some precedent of use on the wiki to refer to an octave-equivalent 7L 2s pattern, although it has had earlier use to refer to the expansion of a smaller mos to a larger one. Due to these concerns, the name ''armotonic'' is normally advised over ''superdiatonic'' as the former is unambiguous as to what it refers to, and the name ''superdiatonic'' is only allowed in situations where it's truly unambiguous if the writer prefers it.
	*From the page [[altered pentad]], where ''superdiatonic'' refers to meantone[12], corresponding to 7L 5s:<blockquote>''One drawback of meantone[12] (the so-called '''superdiatonic''' scale) is that it has only two each of the ordinary (5:6:7:8:9) [[otonal]] and [[utonal]] pentads, just as it has only two of each 7-limit [[tetrad]].~~''</blockquote>~~
	*From the page [[mohajira]], where ''superdiatonic'' refers to mohajira[10], corresponding to 7L 3s.
	*From the page [[Composing Powerstart]], where ''superdiatonic'' is used to refer to porcupine[8], corresponding to 7L 1s:<blockquote>''For starters, you might want to mess around with what's called "[[porcupine]]" temperament in [[22edo\|22-EDO]]. The base diatonic-sized scale is (as steps out of 22-EDO) 4 3 3 3 3 3 3, and you can chromatically alter anything in that scale you want by 1 step out of 22. For instance, if you flat the 7, you get the scale 4 3 3 3 3 2 4, which is nice because it has a 4:5:6:7:9:11 chord in it. There's another "'''superdiatonic'''" scale at 1 3 3 3 3 3 3 3 which you can morph the above into if you want, and a 15-note chromatic scale at 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2; feel free to not stick dogmatically to these exact scales but to change them as you desire.''</blockquote>What 7L 2s and 5L 2s ''do'' share in common is 7L 2s has two extra large steps compared to 5L 2s, and that the addition of more large steps, generalized as (5+2''k'')L 2s, produces mosses with increasingly ''flat'' fifth-like intervals for their generators.

	Due to these concerns, the name ''armotonic'' is normally advised over ''superdiatonic'' as the former is unambiguous as to what it refers to, and the name ''superdiatonic'' is only allowed in situations where it's truly unambiguous if the writer prefers it.
	====On the term ''diatonic''====		====On the term ''diatonic''====
	~~In TAMNAMS, ''diatonic'' exclusively refers to 5L 2s. This is because while~~ the term ''diatonic'' has accrued a variety of exact meanings over time, both within and outside the contexts of xenharmonic music theory, ~~it has a clear choice~~ of ~~referent when talking about MOS~~ scales: 5L 2s ~~with an octave or tempered-octave period~~.		Although the term ''diatonic'' has accrued a variety of exact meanings over time, both within and outside the contexts of xenharmonic music theory, in the context of TAMNAMS and moment-of-symmetry scales, the term ''diatonic'' exclusively refers to 5L 2s.
	===Name changes and former names===		===Name changes and former names===
	Several names have been changed significantly, as naming principles have evolved to what they are currently, or due to the meaning of certain names being called into question. Former names are provided here for reference. Short-lived names are not included here.		Several names have been changed significantly, as naming principles have evolved to what they are currently, or due to the meaning of certain names being called into question. Former names are provided here for reference. Short-lived names are not included here.

Ganaram inukshuk: /* Name changes and former names */

2024-08-08T07:30:20Z

Name changes and former names

← Older revision		Revision as of 07:30, 8 August 2024
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	\|-		\|-
	\|[[2L 5s]]		\|[[2L 5s]]
	\|~~antidiatonic~~		\| colspan="2" \|''No change''.
	\|~~pelotonic; antidiatonic~~		\|
	\|~~TBD~~		\|
	\|~~TBD~~
	\|-		\|-
	\|[[3L 4s]]		\|[[3L 4s]]
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	\|-		\|-
	\|[[3L 6s]]		\|[[3L 6s]]
	\|~~tcherepnin~~		\| colspan="2" \|''No change''.
	\|~~tcheretonic~~		\|
	\|~~TBD~~		\|
	\|~~TBD~~
	\|-		\|-
	\|[[4L 5s]]\|\|orwelloid		\|[[4L 5s]]\|\|orwelloid

Ganaram inukshuk: /* Name changes and former names */

2024-08-08T07:28:19Z

Name changes and former names

← Older revision		Revision as of 07:28, 8 August 2024
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	===Name changes and former names===		===Name changes and former names===
	Several names have been changed significantly, as naming principles have evolved to what they are currently, or due to the meaning of certain names being called into question. Former names are provided here for reference. Short-lived names are not included here.		Several names have been changed significantly, as naming principles have evolved to what they are currently, or due to the meaning of certain names being called into question. Former names are provided here for reference. Short-lived names are not included here.
	{\| class="wikitable center-all"		{\| class="wikitable mw-collapsible center-all"
			\|+Former TAMNAMS names
	\|-		\|-
	! colspan="5" \|5-note mosses		! colspan="5" \|5-note mosses

Ganaram inukshuk at 07:27, 8 August 2024

2024-08-08T07:27:01Z

Show changes

Fredg999: Categories

2024-05-26T14:41:32Z

Fredg999: Categories

2024-05-26T14:36:33Z

Ganaram inukshuk: /* Reasoning for mos pattern names */

2024-05-01T21:07:03Z

Reasoning for mos pattern names

← Older revision		Revision as of 21:07, 1 May 2024
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	The name of an interval or a diatonic interval quality can be incorporated into the name of a mos. Such names include ''smitonic'', ''gramitonic'', ''semiquartal'', ''subneutralic'', and ''sinatonic'', from "sharp minor third", "grave minor third", "half-fourth", "between supraminor and neutral", and the interval [[sinaic]], respectively.		The name of an interval or a diatonic interval quality can be incorporated into the name of a mos. Such names include ''smitonic'', ''gramitonic'', ''semiquartal'', ''subneutralic'', and ''sinatonic'', from "sharp minor third", "grave minor third", "half-fourth", "between supraminor and neutral", and the interval [[sinaic]], respectively.

	Temperament-based names ~~should be used~~ ''~~as a last resort~~'', ~~and if used should be based on a notable temperament. Most of these names are abstractions~~ of their ~~original temperament names insofar~~ that ~~they refer~~ to a ~~temperament~~. Such names include ''~~pine~~'', ''~~hyrulic~~'', ''~~jaric~~'', ~~''ekic'' and ''lemon''; these~~ reference ~~the temperaments of~~ [[~~porcupine~~]], [[~~triforce]], [[pajara]] (along with [[diaschismic]] and [[injera~~]]), [[~~echidna~~]], and [[~~lemba~~]], respectively, ~~with ''jaric'' and ''lemon'' having additional~~ reasonings ~~of their own~~.		Temperament-based names ending in the suffix ''-oid'' refer to [[Exotemperament\|exotemperaments]] (low-accuracy temperametns) whose tuning ranges, when including extreme tunings, cover the entirety of their corresponding mosses. Therefore, edos with simple step ratios (2:1, 3:1, 3:2, etc) for that mos will correspond to valid tunings for that temperament (if not by [[patent val]], then with a small number of [[warts]]). Such names include ''machinoid'', ''dicoid'', and ''sephiroid'', in reference to [[machine]], [[dichotic]]/[[dicot]], and [[sephiroth]] temperaments, respectively; for information regarding these temperaments' tunings, see their specific reasonings under Reasoning for specific names.

	Temperament-based names ~~ending in the suffix~~ ''~~-oid~~'' ~~refer to [[Exotemperament\|exotemperaments]] (low-accuracy temperametns) whose tuning ranges~~, ~~when including extreme tunings, cover the entirety~~ of their ~~corresponding mosses. Therefore, edos with simple step ratios (2:1, 3:1, 3:2, etc) for~~ that ~~mos will correspond~~ to ~~valid tunings for that~~ temperament ~~(if not by [[patent val]], then with a small number of [[warts]])~~. Such names include ''~~machinoid~~'', ''~~dicoid~~'', and ''~~sephiroid~~'', ~~in reference to~~ [[~~machine~~]], [[~~dichotic~~]]/[[~~dicot~~]], and [[~~sephiroth~~]] ~~temperaments~~, respectively~~; for information regarding these temperaments~~' ~~tunings, see~~ their ~~specific reasonings under Reasoning for specific names~~.		Temperament-based names that don't refer to exotemperaments should be used ''as a last resort'', and if used should be based on a notable temperament. Most of these names are abstractions of their original temperament names insofar that they refer to a temperament. Such names include ''pine'', ''hyrulic'', ''jaric'', ''ekic'' and ''lemon''; these reference the temperaments of [[porcupine]], [[triforce]], [[pajara]] (along with [[diaschismic]] and [[injera]]), [[echidna]], and [[lemba]], respectively, with ''jaric'' and ''lemon'' having additional reasonings of their own.
	===Relationship-based reasonings===		===Relationship-based reasonings===
	Reasonings that do not fall under any of the general reasonings are likely to have a relationship-based reasoning, where groups of mosses – usually related by sisterhood or parenthood, but not always – are given names based on a common theme.		Reasonings that do not fall under any of the general reasonings are likely to have a relationship-based reasoning, where groups of mosses – usually related by sisterhood or parenthood, but not always – are given names based on a common theme.

Ganaram inukshuk at 19:44, 1 May 2024

2024-05-01T19:44:45Z

← Older revision		Revision as of 19:44, 1 May 2024
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	===General reasonings===		===General reasonings===
	The following reasonings cover most TAMNAMS names and should be considered the minimum criteria for naming mosses.		The following reasonings cover most TAMNAMS names and should be considered the minimum criteria for naming mosses.
	~~====Established names====~~
	Notable non-temperament names are incorporated into TAMNAMS if they do not cause confusion, or are given names that reference notable things. Such names include ''mosh'', ''tcheretonic'', ''archaeotonic'', ''oneirotonic'', ''balzano'', ''armotonic'', ''checkertonic'', and ''diatonic.''		Notable non-temperament names are incorporated into TAMNAMS if they do not cause confusion, or are given names that reference notable things. Such names include ''mosh'', ''tcheretonic'', ''archaeotonic'', ''oneirotonic'', ''balzano'', ''armotonic'', ''checkertonic'', and ''diatonic.''
	~~====Names that describe an interval quality====~~
	~~Several mosses are named after~~ an interval or a (diatonic) interval quality. Such names include ''smitonic'', ''gramitonic'', ''semiquartal'', ''subneutralic'', and ''sinatonic'', from "sharp minor third", "grave minor third", "half-fourth", "between supraminor and neutral", and the interval [[sinaic]], respectively.		The name of an interval or a diatonic interval quality can be incorporated into the name of a mos. Such names include ''smitonic'', ''gramitonic'', ''semiquartal'', ''subneutralic'', and ''sinatonic'', from "sharp minor third", "grave minor third", "half-fourth", "between supraminor and neutral", and the interval [[sinaic]], respectively.
	~~====Temperament-based names and the ''-oid'' suffix====~~
	Temperament-based names should be used ''as a last resort'', and if used should be based on a notable temperament. Most of these names are abstractions of their original temperament names insofar that they refer to a temperament. Such names include ''pine'', ''hyrulic'', ''jaric'', ''ekic'' and ''lemon''; these reference the temperaments of [[porcupine]], [[triforce]], [[pajara]] (along with [[diaschismic]] and [[injera]]), [[echidna]], and [[lemba]], respectively, with ''jaric'' and ''lemon'' having additional reasonings of their own.		Temperament-based names should be used ''as a last resort'', and if used should be based on a notable temperament. Most of these names are abstractions of their original temperament names insofar that they refer to a temperament. Such names include ''pine'', ''hyrulic'', ''jaric'', ''ekic'' and ''lemon''; these reference the temperaments of [[porcupine]], [[triforce]], [[pajara]] (along with [[diaschismic]] and [[injera]]), [[echidna]], and [[lemba]], respectively, with ''jaric'' and ''lemon'' having additional reasonings of their own.

	Temperament-based names ending in the suffix ''-oid'' refer to [[Exotemperament\|exotemperaments]] (low-accuracy temperametns) whose tuning ranges, when including extreme tunings, cover the entirety of their corresponding mosses. Therefore, edos with simple step ratios (2:1, 3:1, 3:2, etc) for that mos will correspond to valid tunings for that temperament (if not by [[patent val]], then with a small number of [[warts]]). Such names include ''machinoid'', ''dicoid'', and ''sephiroid'', in reference to [[machine]], [[dichotic]]/[[dicot]], and [[sephiroth]] temperaments, respectively; for information regarding these temperaments' tunings, see their specific reasonings under Reasoning for specific names.		Temperament-based names ending in the suffix ''-oid'' refer to [[Exotemperament\|exotemperaments]] (low-accuracy temperametns) whose tuning ranges, when including extreme tunings, cover the entirety of their corresponding mosses. Therefore, edos with simple step ratios (2:1, 3:1, 3:2, etc) for that mos will correspond to valid tunings for that temperament (if not by [[patent val]], then with a small number of [[warts]]). Such names include ''machinoid'', ''dicoid'', and ''sephiroid'', in reference to [[machine]], [[dichotic]]/[[dicot]], and [[sephiroth]] temperaments, respectively; for information regarding these temperaments' tunings, see their specific reasonings under Reasoning for specific names.

	Originally, 3L 5s, 6L 2s, 2L 7s, and 4L 5s were called ''sensoid'', ''echidnoid'', ''joanatonic'', and ''orwelloid'', respectively. These names were dropped since the temperaments [[sensi]], [[echidna]], [[joan]], and [[orwell]] were not suitable as exotemperaments, and the ''-oid'' suffix should be reserved for exotemperaments.
	===Relationship-based reasonings===		===Relationship-based reasonings===
	Reasonings that do not fall under any of the general reasonings are likely to have a relationship-based reasoning, where groups of mosses – usually related by sisterhood or parenthood, but not always – are given names based on a common theme.		Reasonings that do not fall under any of the general reasonings are likely to have a relationship-based reasoning, where groups of mosses – usually related by sisterhood or parenthood, but not always – are given names based on a common theme.

Ganaram inukshuk at 04:29, 1 May 2024

2024-05-01T04:29:38Z

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	{{Mbox\|text=This page is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS/Appendix]]}}This page is an appendix to '''TAMNAMS'''.		{{Mbox\|text=This page is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS/Appendix]]

			Changes are mainly to ''Reasoning for mos pattern names'' and the new section ''Expanding the named range''. All other sections are provided for the [https://en.xen.wiki/w/Special:ComparePages?page1=TAMNAMS&rev1=&page2=User%3AGanaram+inukshuk%2FTAMNAMS&rev2=&action=&diffonly=&unhide= purposes of comparing].
			}}
			This page is an appendix to '''TAMNAMS'''.

	==Reasoning for step ratio names==		==Reasoning for step ratio names==

Ganaram inukshuk at 00:08, 1 May 2024

2024-05-01T00:08:22Z

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	####If ''y'' > ''x'', every instance of an L in both intervals is replaced with ''u'' L's and one s, and every s replaced with ''v'' L's and one s. This produces the final scale's generator and complement.		####If ''y'' > ''x'', every instance of an L in both intervals is replaced with ''u'' L's and one s, and every s replaced with ''v'' L's and one s. This produces the final scale's generator and complement.
	The length of ''gen'' is the number of mossteps for the bright generator, and the length of ''comp'' is the number of mossteps in the dark generator. For our example of 3L 4s, the algorithm returns the step pattern '''Ls''' as the bright generator and '''LsLss''' as its complement, which are 2 and 5 mossteps wide, respectively. Since the large size of a bright generator is perfect and its small size diminished, and the small size of a dark generator is perfect and its small size perfect, the scale's generators can be identified as shown in the table.		The length of ''gen'' is the number of mossteps for the bright generator, and the length of ''comp'' is the number of mossteps in the dark generator. For our example of 3L 4s, the algorithm returns the step pattern '''Ls''' as the bright generator and '''LsLss''' as its complement, which are 2 and 5 mossteps wide, respectively. Since the large size of a bright generator is perfect and its small size diminished, and the small size of a dark generator is perfect and its small size perfect, the scale's generators can be identified as shown in the table.

	~~{{Main\|TAMNAMS}}~~
	{\| class="wikitable"		{\| class="wikitable"
	!Interval		!Interval
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	\|3L+4s		\|3L+4s
	\|}		\|}
	===Extending the named range to smaller mosses===		==Extending the named range to smaller mosses==
	Expanding the named range to include mosses fewer than 6 steps entails naming pentatonic and tetratonic mosses, and smaller.		Expanding the named range to include mosses fewer than 6 steps entails naming pentatonic and tetratonic mosses, and smaller.

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	\|No\|\|From Latin ''manus'', for ''hand''; one thumb and four longer fingers.		\|No\|\|From Latin ''manus'', for ''hand''; one thumb and four longer fingers.
	\|}		\|}
	===~~Extending the named range to larger mosses~~===		==Reasoning for mos pattern names==
	~~???????~~

	''The following is a rewrite to a section to the TAMNAMS appendix. This section contains unapproved namechanges. They are provided for reference/completeness and, unless approved, should not be included in the main-namespace rewrite.''		''The following is a rewrite to a section to the TAMNAMS appendix. This section contains unapproved namechanges. They are provided for reference/completeness and, unless approved, should not be included in the main-namespace rewrite.''

← Older revision		Revision as of 14:41, 26 May 2024
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	[[Category:TAMNAMS]]		[[Category:TAMNAMS]]
	~~[[Category:MOS scale]]~~

← Older revision		Revision as of 14:36, 26 May 2024
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	\|August 2022		\|August 2022
	\|}		\|}

			[[Category:TAMNAMS]]
			[[Category:MOS scale]]