User:Dummy index/Semitritave: Difference between revisions

Interval information
Expression	[math]\displaystyle{ \sqrt{3/1} }[/math]
Monzo	[0 1/2⟩
Size in cents	950.9775¢
Name	semitritave
Special properties	reduced
	Open this interval in xen-calc

VisualWikitext

Latest revision as of 05:39, 5 August 2023

Interval

Semitritave, square root of 3:1, is an interseptimal interval. It divide tritave into two equal parts. Every even-numbered EDT has this interval. It is strongly related to island comma, 676/675, via 13-limit approximant 26/15 and 45/26.

The following table compares selected JI semitwelfth pairs:

Ratios	prime limit	distance from 950.9775c
125/72, 216/125	5	4.054
7/4, 12/7	7	17.848
140/81, 243/140	7	3.658
512/297, 891/512	11	8.160
1331/768, 2304/1331	11	1.021
26/15, 45/26	13	1.281
85/49, 147/85	17	2.640
19/11, 33/19	19	4.782

Merciful intonation

Semitritave is an candidate for "practically merciful intonation", because it is [math]\displaystyle{ [1; 1, 2, 1, 2, ...] }[/math] in continued fraction, have many gradually proximal ratios, 7/4, 19/11, 26/15, 71/41, ..., makes rich dissonance.

Approximating it by noble number:

[math]\displaystyle{ [1; 1, 2, 1, 1, 1, ...] }[/math] - 942.5 cents, between 12/7 and 19/11.
[math]\displaystyle{ [1; 1, 2, 1, 2, 1, 1, 1, ...] }[/math] - 950.4 cents, between 45/26 and 71/41.
[math]\displaystyle{ [1; 1, 2, 1, 3, 1, 1, 1, ...] }[/math] - 954.6 cents, between 26/15 and 33/19.

False octave

Assuming the semitritave is available for false octave. Differ from acoustic phi or ed7/4, two equave makes 3:1, well-known equave.

2*N-edt

Every even-numbered EDT has semitritave interval. Treating it as equave. Another preferable intervals...

5edt - 380 cents major third
6edt - 317 cents minor third
so 30edt?

To do mechanical translation from diatonic scores, "fifth" sound is preferred to be consonance. 7/5 is better, but it makes "3L 2s". 11/8 corresponds to micro- meantone region. (for this purpose, 7/5 ≈ 3\5 of ed7/4 and 7/5 ≈ 4\7 of ed9/5 are both extreme...)

(more to say, 7/5 results in "5L 3s", micro- oneirotonic.)

N	EDT	Approx. EDO	How "pent"	Comments
12	24edt	15edo	hypopent	simple. "Fifth" is 7\12edst ≈ 11/8, off by 3 cents.
18	36edt	stretched-23edo	anpent	This have two "fifth," 11\18edst ≈ 7/5 and 10\18edst ≈ 19/14. 6/5 and 7/6 are good.
19	38edt	24edo	hypopent	"Fifth" is 11\19edst ≈ 11/8. Can convert easily from 19edo. "minor tenth" (e.g. (19+3+2)\19edst) ~ 2/1. "Major triad" ≈ 16:19:22.
23	46edt	29edo	anpent	Two "fifth," 14\23edst ≈ 7/5, 13\23edst ≈ 15/11. 13/11 and 15/13 are precise.
26	52edt	33edo	hypopent	Quadruple BP. Micro- flattone (4434443) can't put to use BP intervals. How is 5424542?
27	54edt	34edo	hyperpent	Two "fifth," 16\27edst ≈ 18/13 and 15\27edst ≈ 19/14 are precise. Together with 9\27edst ≈ 6/5 and 11\27edst ≈ 5/4, seems good for micro- augene[12].
31	62edt	39edo	hypopent	"Fifth" is 18\31edst ≈ 11/8, and "wolf fifth" is 19\31edst ≈ 7/5. By the way, "upmajor 3rd" and "downminor 3rd" approximate 17/14 and 17/15, where (17/14)(17/15) = (11/8)(1156/1155).
46	92edt	58edo	hyperpent	Good for micro- sensi. "5/3" ~ 34\46edst ≈ 3/2, "7/5" ~ 22\46edst ≈ 13/10, "6/5" ~ 12\46edst ≈ 15/13, "10/7" ~ 24\46edst ≈ 4/3, ...
69	138edt	87edo	amphipent	40\69edst ≈ 11/8 very precise, and coincidentally contains micro- august. (69=31+19+19=33+12+12+12)

Rank-2 temperaments

Tribilo as a micromeantone

See also: Tribilo family

Subgroup: 3.2.11

Comma list: 1771561/1769472

Sval mapping: [⟨2 0 1], ⟨0 3 8]]

Sval mapping generators: ~1331/768, ~121/96

POTE generator: ~121/96 = 400.0108 (or ~11/8 = 550.9667)

Optimal ET sequence: b14, b24, b38, b138, b176, b214, b252

Badness: 2.44 × 10^-3

17-limit

Subgroup: 3.2.11.13/5.17

http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_11_13%2F5_17&ets=b38_b62&tuning=po

b24 & b66 as a microaugust

Subgroup: 3.5/2.11/8

Comma list: 15625/15552

Sval mapping: [⟨6 5 2], ⟨0 0 -1]]

Sval mapping generators: ~6/5, ~288/275

POL2 generator: ~288/275 = 82.9018 (or ~11/8 = 551.083)

Optimal ET sequence: b24, b66, b90, b114, b138, b252

RMS error:

13-limit

Subgroup: 3.5/2.16/7.11/8.13/2

http://x31eq.com/cgi-bin/rt.cgi?limit=3_5%2F2_16%2F7_11%2F8_13%2F2&ets=b24_b66p&tuning=po

b32 & b56 as a microdiminished

Subgroup: 3.16.5.11

http://x31eq.com/cgi-bin/rt.cgi?limit=3_16_5_11&ets=b32_b56&tuning=po

subgroup 3.7.11 seems to be a lot

Vulture (no-fives Buzzard)

Subgroup: 3.2.7

http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7&ets=b8_b84&tuning=po

b38 & b54 as a microsensi

Subgroup: 3.2.7.11/5

Comma list: 1605632/1594323, 495616/492075

Sval mapping: [⟨2 2 -2 -3], ⟨0 -2 15 12]]

Sval mapping generators: ~704/405, ~896/729

POL2 generator: ~896/729 = 351.4241 (or ~99/70 = 599.5534)

Optimal ET sequence: b38, b54, b92

RMS error:

13-limit

Subgroup: 3.2.7.11/5.13/5

http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7_11%2F5_13%2F5&ets=b38_b54&tuning=po

b26 & b88 as a microoneirotonic

Subgroup: 3.5.7.26

Comma list: 16875/16807, 676/675

Sval mapping: [⟨2 1 2 4], ⟨0 5 4 5]]

Sval mapping generators: ~26/15, ~26/21

POTE generator: ~26/21 = 367.0018 (or ~7/5 = 583.9757)

Optimal ET sequence: b10, b16, b26, b62, b88, b114

Badness: 1.43 × 10^-3

17-limit

Subgroup: 3.4.5.7.11.26.17

http://x31eq.com/cgi-bin/rt.cgi?limit=3_4_5_7_11_26_17&ets=b26_b88&tuning=po

Subgroup: 4.3.5.7.11.26.17

http://x31eq.com/cgi-bin/rt.cgi?limit=4_3_5_7_11_26_17&ets=q33r_q111&tuning=po

Related temperament: mirkat

Another periods

[math]\displaystyle{ \sqrt{3}^{\sqrt{2}} \approx \varphi^{\varphi} }[/math] (off by 3 cents). However, this does not mean that acoustic phi and semitritave should be used together.

Divide or reverse divide by silver Metallic MOS:
[math]\displaystyle{ \sqrt{3}^{\sqrt{2} - 1} }[/math] ≈ 394¢
951¢ => 2 * 394¢ + 1 * 163¢ => 5 * 163¢ + 2 * 68¢
1 * 951¢ + 1 * 394¢ => 3 * 394¢ + 1 * 163¢ => 3 * 231¢ + 4 * 163¢ (3L 4s (1345¢ equivalent))
2 * 951¢ + 1 * 394¢ => 5 * 394¢ + 2 * 163¢ (5L 2s (2296¢ equivalent))
231¢ is near 8/7, 163¢ is near 11/10.
http://x31eq.com/cgi-bin/rt.cgi?limit=3_8_10_7_11_19&ets=b10_b34&tuning=po

3L 4s (1345¢ equivalent)

	Cents	In L's and s's	Notation	Approximate ratios^[1]
unison	0	0L + 0s	C	1/1
neutral 2nd	163.162	0L + 1s	vD	11/10, 10/9, 21/19
major 2nd	230.746	1L + 0s	D	8/7, 9/8
neutral 3rd	393.908	1L + 1s	vE	5/4, 24/19
perfect 4th	557.070	1L + 2s	F	11/8
perfect 5th	787.816	2L + 2s	G	30/19, 11/7
neutral 6th	950.978	2L + 3s	vA	19/11, 33/19
neutral 7th	1181.723	3L + 3s	vB	(2/1)
octave	1344.885	3L + 4s	C	24/11
neutral 9th	1508.047	3L + 5s	vD	12/5,19/8
major 9th	1575.631	4L + 4s	D	(5/2)
neutral 10th	1738.793	4L + 5s	vE	30/11,19/7
perfect 11th	1901.955	4L + 6s	F	3/1

↑ based on treating as a 3.8.10.7.11.19 subgroup; other approaches are possible.

2s ≈ 326.324¢ ≈ (6/5),11/9

Memo

3.5/2.11/8 => 24edt, 3.5.7.13 => 30edt, 3.5/2.7/2 => 36edt, 3.2.11.17 => 38edt, 3.2.11/5.13/5 => 46edt, 3.10.14.13/8.34 => 52edt, 3.2.5.13.17 => 54edt, 3.10.14.17.11/8 => 62edt

[1] sed on treating as a 3.8.10.7.11.19 subgroup; other approaches are possible.

[1]

User:Dummy index/Semitritave: Difference between revisions

Latest revision as of 05:39, 5 August 2023

Contents

Interval

Merciful intonation

False octave

2*N-edt

Rank-2 temperaments

Tribilo as a micromeantone

17-limit

b24 & b66 as a microaugust

13-limit

b32 & b56 as a microdiminished

subgroup 3.7.11 seems to be a lot

Vulture (no-fives Buzzard)

b38 & b54 as a microsensi

13-limit

b26 & b88 as a microoneirotonic

17-limit

Another periods

3L 4s (1345¢ equivalent)

Memo

Navigation menu

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Ratio = \sqrt{3/1}
-| Ratio = (3/1)^(1/2)
 | Monzo = 0 1/2
 | Cents = 950.97750
 | Name = semitritave
+| Calc = sqrt(3/1)
 }}
 ==Interval==
-Semitritave, semitwelfth, square root of 3:1, 951.1 cents, is an candidate for "practically [[merciful intonation]]", because it's <math>[1; 1, 2, 1, 2, ...]</math> in continued fraction, have many gradually proximal ratios, 5/3, 7/4, 19/11, 26/15, 71/41, ..., makes rich dissonance.
+Semitritave, square root of 3:1, is an [[interseptimal]] interval. It divide [[tritave]] into two equal parts. Every even-numbered [[EDT]] has this interval. It is strongly related to island comma, [[676/675]], via 13-limit approximant 26/15 and 45/26.
-==Pseudooctave==
+The following table compares selected JI semitwelfth pairs:
-Semitritave is available for [[Ed5/3 through ed7/3|pseudooctave]]. Differ from [[acoustic phi]] or natave, two equave makes [[3/1|3:1]], well-known equave.
+{| class="wikitable"
+! | Ratios
+! | prime limit
+! | distance from 950.9775c
+|-
+| 125/72, 216/125
+| 5
+| 4.054
+|-
+| 7/4, 12/7
+| 7
+| 17.848
+|-
+| 140/81, 243/140
+| 7
+| 3.658
+|-
+| 512/297, 891/512
+| 11
+| 8.160
+|-
+| 1331/768, 2304/1331
+| 11
+| 1.021
+|-
+| 26/15, 45/26
+| 13
+| 1.281
+|-
+| 85/49, 147/85
+| 17
+| 2.640
+|-
+| 19/11, 33/19
+| 19
+| 4.782
+|}
+==Merciful intonation==
+Semitritave is an candidate for "practically [[merciful intonation]]", because it is <math>[1; 1, 2, 1, 2, ...]</math> in continued fraction, have many gradually proximal ratios, 7/4, 19/11, 26/15, 71/41, ..., makes rich dissonance.
+Approximating it by noble number:
+* <math>[1; 1, 2, 1, 1, 1, ...]</math> - 942.5 cents, between 12/7 and 19/11.
+* <math>[1; 1, 2, 1, 2, 1, 1, 1, ...]</math> - 950.4 cents, between 45/26 and 71/41.
+* <math>[1; 1, 2, 1, 3, 1, 1, 1, ...]</math> - 954.6 cents, between 26/15 and 33/19.
+==False octave==
+Assuming the semitritave is available for [[Ed5/3 through ed7/3|false octave]]. Differ from [[acoustic phi]] or [[ed7/4]], two equave makes 3:1, well-known equave.
 ==2*N-edt==
-Every even-numbered [[EDT]] has semitritave interval. Another preferrable intervals...
+Every even-numbered EDT has semitritave interval. Treating it as equave. Another preferable intervals...
 * 5edt - 380 cents major third
@@ Line 19: / Line 67: @@
 * so 30edt?
-To do mechanical translation from diatonic scores, "fifth" sound want to be consonance. [[Ed7/4|7/5 is better]], but it makes [[3L 2s]]. 11/8 corresponds meantone region.
+To do mechanical translation from diatonic scores, "fifth" sound is preferred to be consonance. 7/5 is better, but it makes "[[3L 2s]]". 11/8 corresponds to micro- meantone region. (for this purpose, 7/5 ≈ 3\5 of ed7/4 and 7/5 ≈ 4\7 of [[ed9/5]] are both extreme...)
+(more to say, 7/5 results in "[[5L 3s]]", micro- oneirotonic.)
+{| class="wikitable"
+! | N
+! | EDT
+! | Approx. EDO
+! | How "pent"
+! | Comments
+|-
+| 12
+| 24edt
+| 15edo
+| hypopent
+| simple. "Fifth" is 7\12edst ≈ 11/8, off by 3 cents.
+|-
+| 18
+| 36edt
+| [[23edo and octave stretching|stretched-23edo]]
+| anpent
+| This have two "fifth," 11\18edst ≈ 7/5 and 10\18edst ≈ 19/14. 6/5 and 7/6 are good.
+|-
+| 19
+| 38edt
+| 24edo
+| hypopent
+| "Fifth" is 11\19edst ≈ 11/8. Can convert easily from 19edo. "minor tenth" (e.g. (19+3+2)\19edst) ~ 2/1. "Major triad" ≈ 16:19:22.
+|-
+| 23
+| 46edt
+| 29edo
+| anpent
+| Two "fifth," 14\23edst ≈ 7/5, 13\23edst ≈ 15/11. 13/11 and 15/13 are precise.
+|-
+| 26
+| 52edt
+| 33edo
+| hypopent
+| Quadruple BP. Micro- flattone (4434443) can't put to use BP intervals. How is 5424542?
+|-
+| 27
+| 54edt
+| 34edo
+| hyperpent
+| Two "fifth," 16\27edst ≈ 18/13 and 15\27edst ≈ 19/14 are precise. Together with 9\27edst ≈ 6/5 and 11\27edst ≈ 5/4, seems good for micro- augene<nowiki>[12]</nowiki>.
+|-
+| 31
+| 62edt
+| 39edo
+| hypopent
+| "Fifth" is 18\31edst ≈ 11/8, and "wolf fifth" is 19\31edst ≈ 7/5. By the way, "upmajor 3rd" and "downminor 3rd" approximate 17/14 and 17/15, where (17/14)*(17/15) = (11/8)*([[1156/1155]]).
+|-
+| 46
+| 92edt
+| 58edo
+| hyperpent
+| Good for micro- sensi. "5/3" ~ 34\46edst ≈ 3/2, "7/5" ~ 22\46edst ≈ 13/10, "6/5" ~ 12\46edst ≈ 15/13, "10/7" ~ 24\46edst ≈ 4/3, ...
+|-
+| 69
+| 138edt
+| 87edo
+| amphipent
+| 40\69edst ≈ 11/8 very precise, and coincidentally contains micro- august. (69=31+19+19=33+12+12+12)
+|}
+==Rank-2 temperaments==
+===Tribilo as a micromeantone===
+{{See also|Tribilo family}}
+Subgroup: 3.2.11
+[[Comma list]]: 1771561/1769472
+[[Sval]] [[mapping]]: [{{val| 2 0 1 }}, {{val| 0 3 8 }}]
+Sval mapping generators: ~1331/768, ~121/96
+[[POTE generator]]: ~121/96 = 400.0108 (or ~11/8 = 550.9667)
+[[Optimal ET sequence]]: b14, b24, b38, b138, b176, b214, b252
+[[Badness]]: 2.44 × 10<sup>-3</sup>
+====17-limit====
+Subgroup: 3.2.11.13/5.17
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_11_13%2F5_17&ets=b38_b62&tuning=po
+===b24 & b66 as a microaugust===
+Subgroup: 3.5/2.11/8
+[[Comma list]]: 15625/15552
+[[Sval]] [[mapping]]: [{{val| 6 5 2 }}, {{val| 0 0 -1 }}]
+Sval mapping generators: ~6/5, ~288/275
+[[Tp tuning|POL2 generator]]: ~288/275 = 82.9018 (or ~11/8 = 551.083)
+[[Optimal ET sequence]]: b24, b66, b90, b114, b138, b252
+[[Tp tuning #T2 tuning|RMS error]]:
+====13-limit====
+Subgroup: 3.5/2.16/7.11/8.13/2
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_5%2F2_16%2F7_11%2F8_13%2F2&ets=b24_b66p&tuning=po
+===b32 & b56 as a microdiminished===
+Subgroup: 3.16.5.11
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_16_5_11&ets=b32_b56&tuning=po
+===subgroup 3.7.11 seems to be a lot===
+===Vulture (no-fives Buzzard)===
+Subgroup: 3.2.7
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7&ets=b8_b84&tuning=po
+===b38 & b54 as a microsensi===
+Subgroup: 3.2.7.11/5
+[[Comma list]]: 1605632/1594323, 495616/492075
+[[Sval]] [[mapping]]: [{{val| 2 2 -2 -3 }}, {{val| 0 -2 15 12 }}]
+Sval mapping generators: ~704/405, ~896/729
+[[Tp tuning|POL2 generator]]: ~896/729 = 351.4241 (or ~99/70 = 599.5534)
+[[Optimal ET sequence]]: b38, b54, b92
+[[Tp tuning #T2 tuning|RMS error]]:
+====13-limit====
+Subgroup: 3.2.7.11/5.13/5
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7_11%2F5_13%2F5&ets=b38_b54&tuning=po
+===b26 & b88 as a microoneirotonic===
+Subgroup: 3.5.7.26
+[[Comma list]]: 16875/16807, 676/675
+[[Sval]] [[mapping]]: [{{val| 2 1 2 4 }}, {{val| 0 5 4 5 }}]
+Sval mapping generators: ~26/15, ~26/21
+[[POTE generator]]: ~26/21 = 367.0018 (or ~7/5 = 583.9757)
+[[Optimal ET sequence]]: b10, b16, b26, b62, b88, b114
+[[Badness]]: 1.43 × 10<sup>-3</sup>
+====17-limit====
+Subgroup: 3.4.5.7.11.26.17
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_4_5_7_11_26_17&ets=b26_b88&tuning=po
+Subgroup: 4.3.5.7.11.26.17
+http://x31eq.com/cgi-bin/rt.cgi?limit=4_3_5_7_11_26_17&ets=q33r_q111&tuning=po
+Related temperament: [[mirkat]]
+==Another periods==
+<math>\sqrt{3}^{\sqrt{2}} \approx \varphi^{\varphi}</math> (off by 3 cents). However, this does not mean that acoustic phi and semitritave should be used together.
+Divide or reverse divide by silver [[Metallic MOS]]:<br />
+<math>\sqrt{3}^{\sqrt{2} - 1}</math> ≈ 394¢<br />
+¢ => 2 * 394¢ + 1 * 163¢ => 5 * 163¢ + 2 * 68¢<br />
+* 951¢ + 1 * 394¢ => 3 * 394¢ + 1 * 163¢ => 3 * 231¢ + 4 * 163¢ (3L 4s (1345¢ equivalent))<br />
+* 951¢ + 1 * 394¢ => 5 * 394¢ + 2 * 163¢ (5L 2s (2296¢ equivalent))<br />
+¢ is near 8/7, 163¢ is near 11/10.<br />
+http://x31eq.com/cgi-bin/rt.cgi?limit=3_8_10_7_11_19&ets=b10_b34&tuning=po
+===== 3L 4s (1345¢ equivalent) =====
+{| class="wikitable"
+!
+!Cents
+!In L's and s's
+!Notation
+!Approximate ratios<ref>based on treating as a 3.8.10.7.11.19 subgroup; other approaches are possible.</ref>
+|-
+|unison
+|0
+|0L + 0s
+|C
+|1/1
+|-
+|neutral 2nd
+|163.162
+|0L + 1s
+|vD
+|11/10, 10/9, 21/19
+|-
+|major 2nd
+|230.746
+|1L + 0s
+|D
+|8/7, 9/8
+|-
+|neutral 3rd
+|393.908
+|1L + 1s
+|vE
+|5/4, 24/19
+|-
+|perfect 4th
+|557.070
+|1L + 2s
+|F
+|11/8
+|-
+|perfect 5th
+|787.816
+|2L + 2s
+|G
+|30/19, 11/7
+|-
+|neutral 6th
+|950.978
+|2L + 3s
+|vA
+|19/11, 33/19
+|-
+|neutral 7th
+|1181.723
+|3L + 3s
+|vB
+|(2/1)
+|-
+|octave
+|1344.885
+|3L + 4s
+|C
+|24/11
+|-
+|neutral 9th
+|1508.047
+|3L + 5s
+|vD
+|12/5,19/8
+|-
+|major 9th
+|1575.631
+|4L + 4s
+|D
+|(5/2)
+|-
+|neutral 10th
+|1738.793
+|4L + 5s
+|vE
+|30/11,19/7
+|-
+|perfect 11th
+|1901.955
+|4L + 6s
+|F
+|3/1
+|}
+<references/>
+s ≈ 326.324¢ ≈ (6/5),11/9
-* 46edt - approximately 29edo. This have two "fifth," 14\23 ≈ 7/5, 13\23 ≈ 15/11.
+==Memo==
-* 38edt - approximately 24edo. "Fifth" is 11\19 ≈ 11/8. Can convert easily from 19edo.
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.5%2F2.11%2F8&error=5.0 3.5/2.11/8 => 24edt],
-* 36edt - approximately [[23edo and octave stretching|stretched 23edo]]. Another candidate with "fifth" 7/5...
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.5.7.13&error=5.0 3.5.7.13 => 30edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.5%2F2.7%2F2&error=5.0 3.5/2.7/2 => 36edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.2.11.17&error=5.0 3.2.11.17 => 38edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.2.11%2F5.13%2F5&error=5.0 3.2.11/5.13/5 => 46edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.10.14.13%2F8.34&error=5.0 3.10.14.13/8.34 => 52edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.2.5.13.17&error=5.0 3.2.5.13.17 => 54edt],
+[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.10.14.17.11%2F8&error=5.0 3.10.14.17.11/8 => 62edt]

User:Dummy index/Semitritave: Difference between revisions

Latest revision as of 05:39, 5 August 2023

Interval

Merciful intonation

False octave

2*N-edt

Rank-2 temperaments

Tribilo as a micromeantone

17-limit

b24 & b66 as a microaugust

13-limit

b32 & b56 as a microdiminished

subgroup 3.7.11 seems to be a lot

Vulture (no-fives Buzzard)

b38 & b54 as a microsensi

13-limit

b26 & b88 as a microoneirotonic

17-limit

Another periods

3L 4s (1345¢ equivalent)

Memo

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