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From Xenharmonic Reference
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- 14:48, 4 March 2026 Lériendil talk contribs created page 40edo (Created page with "'''40edo''', or 40 equal divisions of the octave (sometimes called '''40-TET''' or '''40-tone equal temperament'''), is the equal tuning featuring steps of (1200/40) ~= 30 cents, 40 of which stack to the perfect octave 2/1. 40edo is a straddle-3, or dual-3, system, as it has both the 5edo fifth of 720{{c}}, and a very flat diatonic fifth at 690{{c}}, being the smallest 5n EDO to have a diatonic perfect fifth. == General theory == === JI approxi...")
- 05:46, 4 March 2026 Lériendil talk contribs created page User talk:WadWizard (Created page with "hi wad ~~~~")
- 04:28, 2 March 2026 Lériendil talk contribs created page 58edo (Redirected page to 29edo#58edo) Tag: New redirect
- 04:27, 2 March 2026 Lériendil talk contribs created page 87edo (Redirected page to 29edo#87edo) Tag: New redirect
- 18:06, 1 March 2026 Lériendil talk contribs created page Septal (Redirected page to 2.3.7 subgroup) Tag: New redirect
- 18:01, 1 March 2026 Lériendil talk contribs created page Template:WIP (Redirected page to Template:Wip) Tag: New redirect
- 18:00, 1 March 2026 Lériendil talk contribs created page Orwell (Created page with "'''Orwell''' is a rank-2 temperament generated by a sharpened subminor third, representing 7/6. Three of these form 8/5, efficiently connecting to prime 5, and the result is then tuned such that it reaches 9/7 (an octave up) when stacked twice, so that seven generators in all form 3/1, a perfect twelfth. The equivalences that it makes are given by the commas 1728/1715 (the difference between 8/5 and (7/6)<sup>3</sup>), and 225/224 (the difference...")
- 13:50, 23 February 2026 Lériendil talk contribs created page Equidecatonic (Redirected page to 10-form) Tag: New redirect
- 19:23, 18 February 2026 Lériendil talk contribs created page 7edo (Created page with " == 7edo == 7edo is the basic equiheptatonic, where all the steps are tuned to be precisely equal. It features steps of (1200/7) ~= 171.4 cents. === Theory === ===== Edostep interpretations ===== 7edo's edostep has the following interpretations in the 2.3.5 subgroup: * 9/8 (the diatonic major second) * 10/9 (the interval separating 9/8 and 5/4) * 16/15 (the interval separating 5/4 and 4/3) ===== JI approximation ===== 7edo is, very crudely, a 2.3.5 system, and streng...")
- 19:23, 18 February 2026 Lériendil talk contribs created page 5edo (Created page with "== 5edo == 5edo is the basic equipentatonic, where all the steps are tuned to be precisely equal. It features steps of (1200/5) = 240 cents. === Theory === ===== Edostep interpretations ===== 5edo's edostep has the following interpretations in the 2.3.7 subgroup: * 7/6 * 8/7 * 9/8 ===== JI approximation ===== 5edo is most obviously a 2.3.7 system (and this property carries to 5-form systems as a whole). although its 3 is audibly sharper than a just 3/2. There is no...")
- 19:13, 18 February 2026 Lériendil talk contribs created page Soft (Redirected page to Glossary#Hardness) Tag: New redirect
- 19:13, 18 February 2026 Lériendil talk contribs created page Hard (Redirected page to Glossary#Hardness) Tag: New redirect
- 19:13, 18 February 2026 Lériendil talk contribs created page Hardness (Redirected page to Glossary#Hardness) Tag: New redirect
- 16:00, 17 February 2026 Lériendil talk contribs created page 5L 3s (Redirected page to Oneirotonic) Tag: New redirect
- 15:43, 17 February 2026 Lériendil talk contribs created page Subgroup (Redirected page to Glossary#JI group) Tag: New redirect
- 01:24, 17 February 2026 Lériendil talk contribs created page User:Lériendil/ET harmonic test page (Created page with "{{Harmonics in ED|50|79|prime}}")
- 06:59, 30 January 2026 Lériendil talk contribs deleted page File:Slendric Tuning Diagram.png (content was: "meow :3", and the only contributor was "Lériendil" (talk))
- 21:08, 29 January 2026 Lériendil talk contribs created page File:Slendric Tuning Diagram.png
- 21:08, 29 January 2026 Lériendil talk contribs uploaded File:Slendric Tuning Diagram.png
- 09:41, 28 January 2026 Lériendil talk contribs moved page File:Slendric Tunings.png to File:Slendric Tuning Chart.png without leaving a redirect
- 09:37, 28 January 2026 Lériendil talk contribs moved page File:Slendric Tuning Spectrum.png to File:Slendric Tunings.png over a redirect without leaving a redirect (Revert)
- 09:37, 28 January 2026 Lériendil talk contribs deleted redirect File:Slendric Tunings.png by overwriting (Deleted to make way for move from "File:Slendric Tuning Spectrum.png")
- 09:36, 28 January 2026 Lériendil talk contribs moved page File:Slendric Tunings.png to File:Slendric Tuning Spectrum.png
- 09:36, 28 January 2026 Lériendil talk contribs created page File:Slendric Tunings.png (is this working?)
- 09:36, 28 January 2026 Lériendil talk contribs uploaded File:Slendric Tunings.png (is this working?)
- 09:35, 28 January 2026 Lériendil talk contribs deleted page File:Slendric Tuning Spectrum.png (content was: "", and the only contributor was "Lériendil" (talk))
- 09:34, 28 January 2026 Lériendil talk contribs created page File:Slendric Tuning Spectrum.png
- 09:34, 28 January 2026 Lériendil talk contribs uploaded File:Slendric Tuning Spectrum.png Tag: Recreated
- 09:34, 28 January 2026 Lériendil talk contribs deleted page File:Slendric Tuning Spectrum.png (uploading bug)
- 09:33, 28 January 2026 Lériendil talk contribs uploaded a new version of File:Slendric Tuning Spectrum.png (changed vertical scale of inset)
- 09:33, 28 January 2026 Lériendil talk contribs reverted File:Slendric Tuning Spectrum.png to an old version (Reverted to version as of 22:32, 27 January 2026 (UTC))
- 03:40, 28 January 2026 Lériendil talk contribs uploaded a new version of File:Slendric Tuning Spectrum.png (changed vertical scale of inset)
- 22:32, 27 January 2026 Lériendil talk contribs created page File:Slendric Tuning Spectrum.png
- 22:32, 27 January 2026 Lériendil talk contribs uploaded File:Slendric Tuning Spectrum.png
- 18:29, 12 January 2026 Lériendil talk contribs created page User:Lériendil/On the primes (Created page with "The way each of the primes tends to behave within xenharmony is largely defined by the numbers that neighbor it. Every prime (bar 2) splits some superparticular in half, and that prime's neighbors are twice the numerator and denominator of that superparticular. Other isoharmonic sequences, such as those which differ by 2, 3, or 4, can also be used, but are much less likely to split intervals that belong to significantly lower prime-limits. However, the pr...")
- 05:56, 12 January 2026 Lériendil talk contribs created page User:Lériendil (meow :3)
- 02:50, 9 January 2026 Lériendil talk contribs created page Slendric (Created page with "'''Slendric''' is the basic harmonic interpretation of the structure where the perfect fifth (~3/2) is split into three equal parts, each representing the interval 8/7. Since the 7th harmonic is less than 3 cents from just when 3/2 is pure, slendric constitutes an exceptionally good rank-2 traversal of the 2.3.7 tuning space for its simplicity. Its corresponding comma is the difference between 3/2 and (8/7)<su...")
- 23:19, 8 January 2026 Lériendil talk contribs created page 3-limit (Redirected page to Pythagorean tuning) Tag: New redirect
- 22:56, 8 January 2026 Lériendil talk contribs created page 3/2 (Redirected page to Perfect fifth) Tag: New redirect
- 19:13, 16 December 2025 Lériendil talk contribs created page Taylor series (Created page with "''This is an advanced page dealing with detailed mathematical topics, and should not be referred to for guidance on aspects of xenharmony mentioned here that can be described more simply.'' A '''Taylor series''' is a method of approximating a function within a certain range by means of adding successive powers of a small parameter, such that each approximation is increasingly precise by a factor of that parameter. While these can be defined for essentially any function,...")
- 18:52, 16 December 2025 Lériendil talk contribs created page Template:Sfrac (Created page with "<includeonly><templatestyles src="sfrac/styles.css" /><span class="sfrac">{{#if: {{{3|}}}|{{{1}}}<span class="sr-only">+</span>}}<!-- --><span class="tion" {{#if: {{{font-size|}}}|style="font-size: {{{font-size}}};"}}><!-- --><span class="num">{{#if: {{{3|}}}|{{{2}}}|{{#if: {{{2|}}}|{{{1}}}|1}}}}</span><!-- --><span class="sr-only">/</span><!-- --><span class="den">{{{3|{{{2|{{{1|1}}}}}}}}}</span><!-- --></span><!-- --></span></includeonly>")
- 13:31, 15 December 2025 Lériendil talk contribs created page Superparticular (Redirected page to Glossary#Superparticular) Tag: New redirect
- 13:31, 15 December 2025 Lériendil talk contribs created page Glossary (Created page with "This page lists various terms conventionally used in xenharmony (or in some cases, general music theory as it applies to xen) that can be briefly described. == Cent == A '''cent''' (abbreviated to c or ¢) is the conventional measurement unit of the logarithmic distance between frequencies; in other words, the size of the interval between them. A cent is defined as a frequency ratio of 2^(1/1200), or a factor of about 1.0005778, such that the octave ([...")
- 13:14, 15 December 2025 Lériendil talk contribs created page Cent (Created page with "A '''cent''' (abbreviated to c or ¢) is the conventional measurement unit of the logarithmic distance between frequencies; in other words, the size of the interval between them. A cent is defined as a ratio of 2^(1/1200), or a factor of about 1.0005778, such that the octave (2/1) spans exactly 1200 cents, and therefore that each step of 12edo spans exactly 100.")
- 07:21, 15 December 2025 Lériendil talk contribs created page Regular (Redirected page to Regular temperament) Tag: New redirect
- 16:43, 12 December 2025 Lériendil talk contribs moved page Color schemes to XenBase:Color schemes (more of a meta page)
- 16:42, 12 December 2025 Lériendil talk contribs protected Main Page [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (critical meta page) (hist)
- 18:18, 11 December 2025 Lériendil talk contribs created page Xenharmonic Reference:Tuning system article format (Created page with "''This page is an extension of XenBase:Guidelines. It is expected that that page has been read first.'' Articles about tuning systems are some of the most important on this wiki. According to the wiki's mission statement, the ultimate purpose of such an article is to serve as a basic guide to using that tuning system for composition. An individual tuning system must, therefore, be presented as a coherent structure with unique rules and particularities that gover...")
- 17:36, 11 December 2025 Lériendil talk contribs protected Xenharmonic Reference:Guidelines [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (critical article) (hist)
- 15:33, 11 December 2025 User account Lériendil talk contribs was created
