Word - Revision history

https://en.xen.wiki/index.php?action=history&feed=atom&title=Word Word - Revision history 2026-06-18T20:35:52Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Word&diff=174619&oldid=prev Inthar at 16:30, 4 January 2025 2025-01-04T16:30:06Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:30, 4 January 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and the set consisting of a word and all its rotations is termed a '''circular word''' or a '''<del style="font-weight: bold; text-decoration: none;">necklace</del>'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1. A necklace is primitive if any (therefore every) representative of it is primitive.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and the set consisting of a word and all its rotations is termed a '''circular word'''<ins style="font-weight: bold; text-decoration: none;">, a '''necklace''', </ins>or a '''<ins style="font-weight: bold; text-decoration: none;">scale word</ins>''' <ins style="font-weight: bold; text-decoration: none;">in a specifically music-related context</ins>. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1. A necklace is primitive if any (therefore every) representative of it is primitive.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=164852&oldid=prev Inthar at 23:43, 9 November 2024 2024-11-09T23:43:50Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:43, 9 November 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and the set consisting of a word and all its rotations is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and the set consisting of a word and all its rotations is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1<ins style="font-weight: bold; text-decoration: none;">. A necklace is primitive if any (therefore every) representative of it is primitive</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=164851&oldid=prev Inthar at 23:42, 9 November 2024 2024-11-09T23:42:59Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:42, 9 November 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and <del style="font-weight: bold; text-decoration: none;">an equivalence class </del>of <del style="font-weight: bold; text-decoration: none;">words under conjugacy </del>is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and <ins style="font-weight: bold; text-decoration: none;">the set consisting </ins>of <ins style="font-weight: bold; text-decoration: none;">a word and all its rotations </ins>is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for any shorter word ''u'' and any integer ''k'' > 1.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=164850&oldid=prev Inthar at 23:42, 9 November 2024 2024-11-09T23:42:03Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:42, 9 November 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for <del style="font-weight: bold; text-decoration: none;">a </del>shorter word ''u'' and <del style="font-weight: bold; text-decoration: none;">an </del>integer ''k'' > 1.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word ''w'' is ''primitive'' if it is not the case that ''w'' = ''u''<sup>''k''</sup> for <ins style="font-weight: bold; text-decoration: none;">any </ins>shorter word ''u'' and <ins style="font-weight: bold; text-decoration: none;">any </ins>integer ''k'' > 1.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=164849&oldid=prev Inthar at 23:40, 9 November 2024 2024-11-09T23:40:36Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:40, 9 November 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not <del style="font-weight: bold; text-decoration: none;">a non-trivial power of </del>a shorter word.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word <ins style="font-weight: bold; text-decoration: none;">''w'' </ins>is ''primitive'' if it is not <ins style="font-weight: bold; text-decoration: none;">the case that ''w'' = ''u''<sup>''k''</sup> for </ins>a shorter word <ins style="font-weight: bold; text-decoration: none;">''u'' and an integer ''k'' > 1</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=130266&oldid=prev Inthar at 17:30, 1 January 2024 2024-01-01T17:30:13Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:30, 1 January 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not a non-trivial power of a shorter word.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not a non-trivial power of a shorter word.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, <del style="font-weight: bold; text-decoration: none;">equivalent to </del>imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, imposing a total order on the alphabet, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There is some terminological subtlety regarding what the word "scale" means, and thus some semantic subtlety in what a "word" is said to represent. Often, authors treat the term "scale" as an actual collection of real notes or intervals with a precise tuning, as in (0, 200, 400, 500, 700, 900, 1100, 1200) for the 12-EDO diatonic scale. In this sense, a word like LLsLLLs can be thought of as representing a family of these precisely-tuned scales matching the step pattern of the word. On the other hand, often one refers to "the diatonic scale" as an entity in its own right, agnostic to any particular tuning, which can be tuned in different ways; in this sense that LLsLLLs word represents ''the'' diatonic scale, treated as a single abstract entity.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There is some terminological subtlety regarding what the word "scale" means, and thus some semantic subtlety in what a "word" is said to represent. Often, authors treat the term "scale" as an actual collection of real notes or intervals with a precise tuning, as in (0, 200, 400, 500, 700, 900, 1100, 1200) for the 12-EDO diatonic scale. In this sense, a word like LLsLLLs can be thought of as representing a family of these precisely-tuned scales matching the step pattern of the word. On the other hand, often one refers to "the diatonic scale" as an entity in its own right, agnostic to any particular tuning, which can be tuned in different ways; in this sense that LLsLLLs word represents ''the'' diatonic scale, treated as a single abstract entity.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=130265&oldid=prev Inthar at 17:29, 1 January 2024 2024-01-01T17:29:53Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:29, 1 January 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not a non-trivial power of a shorter word.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not a non-trivial power of a shorter word.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well<ins style="font-weight: bold; text-decoration: none;">, equivalent to imposing a total order on the alphabet</ins>, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There is some terminological subtlety regarding what the word "scale" means, and thus some semantic subtlety in what a "word" is said to represent. Often, authors treat the term "scale" as an actual collection of real notes or intervals with a precise tuning, as in (0, 200, 400, 500, 700, 900, 1100, 1200) for the 12-EDO diatonic scale. In this sense, a word like LLsLLLs can be thought of as representing a family of these precisely-tuned scales matching the step pattern of the word. On the other hand, often one refers to "the diatonic scale" as an entity in its own right, agnostic to any particular tuning, which can be tuned in different ways; in this sense that LLsLLLs word represents ''the'' diatonic scale, treated as a single abstract entity.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There is some terminological subtlety regarding what the word "scale" means, and thus some semantic subtlety in what a "word" is said to represent. Often, authors treat the term "scale" as an actual collection of real notes or intervals with a precise tuning, as in (0, 200, 400, 500, 700, 900, 1100, 1200) for the 12-EDO diatonic scale. In this sense, a word like LLsLLLs can be thought of as representing a family of these precisely-tuned scales matching the step pattern of the word. On the other hand, often one refers to "the diatonic scale" as an entity in its own right, agnostic to any particular tuning, which can be tuned in different ways; in this sense that LLsLLLs word represents ''the'' diatonic scale, treated as a single abstract entity.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=129748&oldid=prev Inthar at 00:38, 25 December 2023 2023-12-25T00:38:49Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:38, 25 December 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is <del style="font-weight: bold; text-decoration: none;">'</del>''primitive<del style="font-weight: bold; text-decoration: none;">'</del>'' if it is not a non-trivial power of a shorter word.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''. A word is ''primitive'' if it is not a non-trivial power of a shorter word.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=129746&oldid=prev Inthar at 00:37, 25 December 2023 2023-12-25T00:37:51Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:37, 25 December 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''word''', in mathematical terminology, is a finite or infinite sequence of letters from some finite alphabet, such as "aabaaab" or "LLsLLLs." The mathematical field of combinatorics on words often studies words that are infinite in one or both directions. In xenharmonic music theory, words are often used to represent an abstract scale template with some specified pattern of step sizes, such as when working with [[MOS]] scales. Two words that are rotations of one another, such as "aabaaab" and "abaaaba", are said to be ''conjugate'', and an equivalence class of words under conjugacy is termed a '''circular word''' or a '''necklace'''<ins style="font-weight: bold; text-decoration: none;">. A word is '''primitive''' if it is not a non-trivial power of a shorter word</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Words may be used to represent the step pattern of a [[periodic scale]], in which case the distinction between words and necklaces may be elided when not referring to a specific mode of the scale. For example, the word "aabaaab" can be thought of as representing a '''scale template''' where "a" represents one kind of step, and "b" represents a different kind of step. It is often useful to specify the relative sizes of the steps as well, leading to the two related words "LLsLLLs" and "ssLsssL," where L means "large" and s means "small." Of these, (assuming octave equivalence) LLsLLLs corresponds to the diatonic scale, and ssLsssL to the anti-diatonic scale; aabaaab can be thought of a more generic word incorporating both into a single template.</div></td></tr> </table>

Inthar https://en.xen.wiki/index.php?title=Word&diff=129712&oldid=prev Inthar at 23:22, 24 December 2023 2023-12-24T23:22:33Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:22, 24 December 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A [[munit]] is a word with a specified size for the outermost interval.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A [[munit]] is a word with a specified size for the outermost interval.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terms]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terms]]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Combinatorics on words]]</ins></div></td></tr> </table>

Inthar