30th-octave temperaments - Revision history

Eliora at 17:33, 4 September 2026

2026-09-04T17:33:02Z

← Older revision		Revision as of 17:33, 4 September 2026
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	Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group.		Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group.

	[[Zinc]] is a prominent 30th-octave temperament, see [[Landscape microtemperaments#Zinc]] for technical details. From a fractional-octave perspective, MOS scales of zinc are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach. [[Poe]] is another temperament of interest.		[[Zinc]] is a prominent 30th-octave temperament, see [[Landscape microtemperaments#Zinc]] for technical details. From a fractional-octave perspective, MOS scales of zinc are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach. [[Poe]] is another temperament of interest, and [[triacontoid]] as well, belonging in the [[quintosec family]].

	Considered below is oyster.		Considered below is oyster.

Eliora: /* Oyster */ strong vs weak distinction

2026-08-05T02:58:42Z

Oyster: strong vs weak distinction

← Older revision		Revision as of 02:58, 5 August 2026
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	== Oyster ==		== Oyster ==
	Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.		Oyster is a 2.7.11.19 weak restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.

	Overall, this temperament is a simple augmentation of 30edo with harmonics 7, 11, and 19 that is unique and of decent badness.		Overall, this temperament is a simple augmentation of 30edo with harmonics 7, 11, and 19 that is unique and of decent badness.

Eliora: /* Oyster */ remove tautology

2026-08-05T02:15:54Z

Oyster: remove tautology

← Older revision		Revision as of 02:15, 5 August 2026
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	== Oyster ==		== Oyster ==
	Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator ~~and it is of badness comparable to full-limit zinc variants~~. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.		Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.

			Overall, this temperament is a simple augmentation of 30edo with harmonics 7, 11, and 19 that is unique and of decent badness.

	Named so because oysters are the biggest source of the element zinc, the namesake of the temperament it is derived of.		Named so because oysters are the biggest source of the element zinc, the namesake of the temperament it is derived of.

Eliora: trim zinc (and reference poe) as it is not needed if landscape covers zinc's data, while oyster will remain here.

2026-08-05T02:02:06Z

trim zinc (and reference poe) as it is not needed if landscape covers zinc's data, while oyster will remain here.

← Older revision		Revision as of 02:02, 5 August 2026
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	Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group.		Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group.

	== Zinc ==		[[Zinc]] is a prominent 30th-octave temperament, see [[Landscape microtemperaments#Zinc]] for technical details. From a fractional-octave perspective, MOS scales of zinc are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach. [[Poe]] is another temperament of interest.
	~~: ''For technical data~~, see [[Landscape microtemperaments#Zinc]].''
	~~''Zinc'' temperament is named after~~ the ~~30th element and in the 7~~-~~limit it can be described by tempering out the~~ [[~~landscape comma~~]] ~~and the~~ [[~~10th-octave temperaments#Neon\|neon comma~~]]. ~~Tempering out the landscape comma divides the octave in 3, the neon comma in 10, and respectively zinc divides the octave into 3 x 10 = 30~~.

	~~While the landscape comma~~ is ~~considered the "most important" comma of zinc, it can be played in ways that don't involve it. For example, it reaches the 11th harmonic in just 2 generators which can be found using the 90-tone mos~~.		Considered below is oyster.

	Within the reach of a standard 128-note MIDI keyboard, zinc has mos scales of size 60, 90, and 120. These scales are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach.		== Oyster ==

	=== Oyster ===
	Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator and it is of badness comparable to full-limit zinc variants. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.		Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator and it is of badness comparable to full-limit zinc variants. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.

Eliora at 01:57, 5 August 2026

2026-08-05T01:57:00Z

← Older revision		Revision as of 01:57, 5 August 2026
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	Within the reach of a standard 128-note MIDI keyboard, zinc has mos scales of size 60, 90, and 120. These scales are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach.		Within the reach of a standard 128-note MIDI keyboard, zinc has mos scales of size 60, 90, and 120. These scales are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach.

			=== Oyster ===
			Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator and it is of badness comparable to full-limit zinc variants. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament.

			Named so because oysters are the biggest source of the element zinc, the namesake of the temperament it is derived of.

			Subgroup: 2.7.11.19

			Comma list: 184877/184832, 2.7.11.19 {{monzo\|-67 0 12 6}}

			{{mapping\|legend=2\| 30 60 128 79 \| 0 1 -1 2 }}

			Optimal tunings:
			* WE: ~102760448/100422619 = 40.000{{c}}, ~7/4 = 968.757{{c}}
			* CWE: ~102760448/100422619 = 40.000{{c}}, ~7/4 = 968.750{{c}}

			[[Support]]ing [[ET]]s: {{EDOs\|30, 120, 150, 270, 390, 420, 570, 660, 690, 960, 1110, 1230, 1500, 1650}}

			Badness (Sintel): 0.499

	{{Navbox fractional-octave}}		{{Navbox fractional-octave}}

Eliora: doesn't show temperament data anymore as zinc got moved to landscape temps and this is just now a description of what makes zinc notable beyond belonging in landscape family

2026-08-02T16:42:24Z

doesn't show temperament data anymore as zinc got moved to landscape temps and this is just now a description of what makes zinc notable beyond belonging in landscape family

← Older revision		Revision as of 16:42, 2 August 2026
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	~~{{Technical data page}}~~
	{{Infobox fractional-octave\|30}}		{{Infobox fractional-octave\|30}}
	30edo is by many metrics not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.		30edo is by many metrics not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.

			Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group.

	== Zinc ==		== Zinc ==

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:41:58Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	{{Infobox fractional-octave\|30}}		{{Infobox fractional-octave\|30}}
	30edo is by many metrics not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.		30edo is by many metrics not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.

BudjarnLambeth: {{Technical data page}}

+ "by many metrics"

2025-04-13T10:57:47Z

{{Technical data page}}<br><br> + "by many metrics"

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			{{Technical data page}}<br><br>
	{{Infobox fractional-octave\|30}}		{{Infobox fractional-octave\|30}}
	30edo is not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.		30edo is by many metrics not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.

	== Zinc ==		== Zinc ==

ArrowHead294 at 03:58, 14 February 2025

2025-02-14T03:58:59Z

← Older revision		Revision as of 03:58, 14 February 2025
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	{{~~Fractional~~-octave ~~navigation~~\|30}}		{{Infobox fractional-octave\|30}}
	30edo is not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.		30edo is not a harmonically notable temperament, but some of its multiples are. Due to plenty of divisors of number 30, these temperaments are also difficult to catalog due to their belonging in multiple temperament families, and this page is designed to accommodate that.

	== Zinc ==		== Zinc ==
	: ''For technical data, see [[Landscape microtemperaments#Zinc]].''		: ''For technical data, see [[Landscape microtemperaments#Zinc]].''

BudjarnLambeth: navbox

2024-12-05T07:26:46Z

navbox

← Older revision		Revision as of 07:26, 5 December 2024
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	Within the reach of a standard 128-note MIDI keyboard, zinc has mos scales of size 60, 90, and 120. These scales are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach.		Within the reach of a standard 128-note MIDI keyboard, zinc has mos scales of size 60, 90, and 120. These scales are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach.

			{{Navbox fractional-octave}}