17平均律テトラコードのソースを表示

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| de = 
| en = 17edo tetrachords
| es = 
| ja = 17平均律テトラコード
}}

<span style="font-family: 'Century','serif'; font-size: 14px;">“17</span><span style="font-family: 'MS Mincho'; font-size: 14px;">平均律の主要な[[テトラコード|テトラコード]]</span><span style="font-family: 'Century','serif'; font-size: 14px;">”</span><span style="font-family: 'MS Mincho'; font-size: 14px;">の意味は、</span><span style="font-family: 'Century','serif'; font-size: 14px;">[[17平均律|17]]</span><span style="font-family: 'MS Mincho'; font-size: 14px;">[[17平均律|平均律]]の</span><span style="font-family: 'Century','serif'; font-size: 14px;">4</span><span style="font-family: 'MS Mincho'; font-size: 14px;">音からなるピッチセットであり、間隔は</span><span style="font-family: 'Century','serif'; font-size: 14px;">7''17''</span>''<span style="font-family: 'MS Mincho'; font-size: 14px;">からなる[[完全4度|完全]]</span><span style="font-family: 'Century','serif'; font-size: 14px;">[[完全4度|4]]</span><span style="font-family: 'MS Mincho'; font-size: 14px;">[[完全4度|度]]で、下記をそれぞれ含む。</span>''

''<span style="font-family: 'MS Mincho';">ユニゾン ―</span> 0''17 <span style="font-family: 'MS Mincho';">― ソルフェージュ・ネーム「</span>do<span style="font-family: 'MS Mincho';">」</span>

2<span style="font-family: 'MS Mincho';">度 ―</span> 1''17<span style="font-family: 'MS Mincho';">（</span>ra<span style="font-family: 'MS Mincho';">、短</span>2<span style="font-family: 'MS Mincho';">度）と</span>2''17<span style="font-family: 'MS Mincho';">（</span>ru<span style="font-family: 'MS Mincho';">、中立的な</span>2<span style="font-family: 'MS Mincho';">度）、そして</span>3''17<span style="font-family: 'MS Mincho';">（</span>re<span style="font-family: 'MS Mincho';">、長</span>2<span style="font-family: 'MS Mincho';">度）を含む</span>''

''3<span style="font-family: 'MS Mincho';">度 ―</span> 4''17<span style="font-family: 'MS Mincho';">（</span>me<span style="font-family: 'MS Mincho';">、短</span>3<span style="font-family: 'MS Mincho';">度）と</span>5''17<span style="font-family: 'MS Mincho';">（</span>mu<span style="font-family: 'MS Mincho';">、中立的な</span>3<span style="font-family: 'MS Mincho';">度）、そして</span>6''17<span style="font-family: 'MS Mincho';">（</span>mi<span style="font-family: 'MS Mincho';">、長</span>3<span style="font-family: 'MS Mincho';">度）を含む</span>

<span style="font-family: 'MS Mincho';">完全</span>4<span style="font-family: 'MS Mincho';">度 ―</span> 7//17<span style="font-family: 'MS Mincho';">（</span>fa<span style="font-family: 'MS Mincho';">）</span>

=<span style="font-family: 'MS Mincho'; font-size: 16px;">対応表：</span>=

{| class="wikitable"
|-
! | degrees
! | cents
! | name
! | solfege
|-
| | 0
| | 0
| | unison
| | do
|-
| | 1
| | 71
| | minor second (a.k.a third-tone)
| | ra
|-
| | 2
| | 141
| | neutral second (a.k.a. two-thirds-tone)
| | ru
|-
| | 3
| | 212
| | major second (a.k.a. tone)
| | re
|-
| | 4
| | 282
| | minor third (a.k.a. subminor third)
| | me
|-
| | 5
| | 353
| | neutral third
| | mu
|-
| | 6
| | 424
| | major third (a.k.a. supermajor third)
| | mi
|-
| | 7
| | 494
| | perfect fourth
| | fa
|}

=<span style="font-family: 'MS Mincho'; font-size: 16px;">テトラコードの記譜法</span>=
<span style="font-family: 'MS Mincho';">テトラコードの記譜法は、ハイフンによって分割された</span>3<span style="font-family: 'MS Mincho';">つのスカラー・ステップ（</span>17<span style="font-family: 'MS Mincho';">平均律の音程のように）で示される。</span>

<span style="font-family: 'MS Mincho';">例えば、</span>3-3-1<span style="font-family: 'MS Mincho';">で構成されるテトラコードは、</span>

0<span style="font-family: 'MS Mincho';">（</span>do<span style="font-family: 'MS Mincho';">）、ユニゾン；</span>

3<span style="font-family: 'MS Mincho';">（</span>re<span style="font-family: 'MS Mincho';">）、長</span>2<span style="font-family: 'MS Mincho';">度、</span>0<span style="font-family: 'MS Mincho';">から</span>3<span style="font-family: 'MS Mincho';">音程上；</span>

6<span style="font-family: 'MS Mincho';">（</span>mi<span style="font-family: 'MS Mincho';">）、長</span>3<span style="font-family: 'MS Mincho';">度、</span>3<span style="font-family: 'MS Mincho';">から</span>3<span style="font-family: 'MS Mincho';">音程上；そして</span>

<span style="font-family: 'Century','serif'; font-size: 14px;">7</span><span style="font-family: 'MS Mincho'; font-size: 14px;">（</span><span style="font-family: 'Century','serif'; font-size: 14px;">fa</span><span style="font-family: 'MS Mincho'; font-size: 14px;">）、完全</span><span style="font-family: 'Century','serif'; font-size: 14px;">4</span><span style="font-family: 'MS Mincho'; font-size: 14px;">度、</span><span style="font-family: 'Century','serif'; font-size: 14px;">6</span><span style="font-family: 'MS Mincho'; font-size: 14px;">から</span><span style="font-family: 'Century','serif'; font-size: 14px;">1</span><span style="font-family: 'MS Mincho'; font-size: 14px;">音程上</span>

<span style="font-family: 'MS Mincho'; font-size: 14px;">テトラコード・ネームのこれらの数は、常に</span><span style="font-family: 'Century','serif'; font-size: 14px;">7</span><span style="font-family: 'MS Mincho'; font-size: 14px;">へ向かう。</span>

=<span style="font-family: 'Century','serif'; font-size: 16px;">17</span><span style="font-family: 'MS Mincho'; font-size: 16px;">平均律の主要なテトラコード</span>=
<span style="font-family: 'Century','serif'; font-size: 14px;">9</span><span style="font-family: 'MS Mincho'; font-size: 14px;">つの主要なテトラコードが</span><span style="font-family: 'Century','serif'; font-size: 14px;">17</span><span style="font-family: 'MS Mincho'; font-size: 14px;">平均律にはある。</span>

{| class="wikitable"
|-
! | tetrachord notation
! | solfege
! | name (suggestions?)
! | used in
|-
| | 1-3-3
| | do ra me fa
| | phrygian
| | diatonic (phrygian)
|-
| | 1-4-2
| | do ra mu fa
| | 
| | 
|-
| | 1-5-1
| | do ra mi fa
| | balkan, Hijaz (arabic)
| | 
|-
| | 2-2-3
| | do ru me fa
| | Bayyati (arabic)
| | [[17edo_neutral_scale|17edo neutral scale]] (led)
|-
| | 2-3-2
| | do ru mu fa
| | Iraq (arabic)
| | [[17edo_neutral_scale|17edo neutral scale]] (bish, fish, jwl)
|-
| | 2-4-1
| | do ru mi fa
| | 
| | 
|-
| | 3-1-3
| | do re me fa
| | aeolian
| | diatonic (aolian, dorian) ; [[Scorp|scorp]] (mode 3)
|-
| | 3-2-2
| | do re mu fa
| | Rast (arabic)
| | [[17edo_neutral_scale|17edo neutral scale]] (dril, gil, kleeth)
|-
| | 3-3-1
| | do re mi fa
| | ionian
| | diatonic (ionian, mixolydian)
|}

<span style="font-family: 'MS Mincho'; font-size: 14px;">もう一つの方法は、次のように表すことである。</span>

{| class="wikitable"
|-
! | 
! | ra
! | ru
! | re
|-
| | me
| | 1-3-3
| | 2-2-3
| | 3-1-3
|-
| | mu
| | 1-4-2
| | 2-3-2
| | 3-2-2
|-
| | mi
| | 1-5-1
| | 2-4-1
| | 3-3-1
|}

=<span style="font-family: 'Century','serif'; font-size: 14px;">17</span><span style="font-family: 'MS Mincho'; font-size: 14px;">平均律の完全テトラコード</span>=
<span style="font-family: 'MS Mincho'; font-size: 14px;">より一般的なテトラコードシステムは、</span><span style="font-family: 'Century','serif'; font-size: 14px;">2</span><span style="font-family: 'MS Mincho'; font-size: 14px;">度の重ね、または</span><span style="font-family: 'Century','serif'; font-size: 14px;">3</span><span style="font-family: 'MS Mincho'; font-size: 14px;">度の重ねを行う。例えば、</span><span style="font-family: 'Century','serif'; font-size: 14px;">1-1-5</span><span style="font-family: 'MS Mincho'; font-size: 14px;">または</span><span style="font-family: 'Century','serif'; font-size: 14px;">5-1-1</span><span style="font-family: 'MS Mincho'; font-size: 14px;">である。したがって、</span><span style="font-family: 'Century','serif'; font-size: 14px;">17</span><span style="font-family: 'MS Mincho'; font-size: 14px;">平均律の完全なテトラコードの表は、主要なテトラコードとともに、次のように表せる。</span>

{| class="wikitable"
|-
| | 1-1-5
| | 2-1-4
| | '''3-1-3'''
| | 4-1-2
| | 5-1-1
|-
| | 1-2-4
| | '''2-2-3'''
| | '''3-2-2'''
| | 4-2-1
| | 
|-
| | '''1-3-3'''
| | '''2-3-2'''
| | '''3-3-1'''
| | 
| | 
|-
| | '''1-4-2'''
| | '''2-4-1'''
| | 
| | 
| | 
|-
| | '''1-5-1'''
| | 
| | 
| | 
| | 
|}

<span style="font-family: 'MS Mincho'; font-size: 14px;">したがって、</span><span style="font-family: 'Century','serif'; font-size: 14px;">2</span><span style="font-family: 'MS Mincho'; font-size: 14px;">度や</span><span style="font-family: 'Century','serif'; font-size: 14px;">3</span><span style="font-family: 'MS Mincho'; font-size: 14px;">度の重ねにより、</span><span style="font-family: 'Century','serif'; font-size: 14px;">6</span><span style="font-family: 'MS Mincho'; font-size: 14px;">つの新しいテトラコードを</span><span style="font-family: 'Century','serif'; font-size: 14px;">9</span><span style="font-family: 'MS Mincho'; font-size: 14px;">つの主要なテトラコードに加え、合計</span><span style="font-family: 'Century','serif'; font-size: 14px;">15</span><span style="font-family: 'MS Mincho'; font-size: 14px;">となる。以下に新しい</span><span style="font-family: 'Century','serif'; font-size: 14px;">6</span><span style="font-family: 'MS Mincho'; font-size: 14px;">つを示す。</span>

{| class="wikitable"
|-
! | tetrachord notation
! | solfege
! | name (suggestions?)
! | used in
|-
| | 1-1-5
| | do ra ru fa
| | 
| | 
|-
| | 1-2-4
| | do ra re fa
| | 
| | 
|-
| | 2-1-4
| | do ru re fa
| | 
| | 
|-
| | 4-1-2
| | do me mu fa
| | 
| | 
|-
| | 4-2-1
| | do me mi fa
| | 
| | 
|-
| | 5-1-1
| | do mu mi fa
| | 
| | 
|}
また、[[テトラコード|テトラコード]]、[[22edo_tetrachords|22]][[22edo_tetrachords|平均律のテトラコード]]、[[Tricesimoprimal_Tetrachordal_Tesseract|31]][[Tricesimoprimal_Tetrachordal_Tesseract|平均律のテトラコーダル]][[Tricesimoprimal_Tetrachordal_Tesseract|4]][[Tricesimoprimal_Tetrachordal_Tesseract|次元立方体]]を参照のこと。

<span style="display: block; height: 1px; left: -40px; overflow: hidden; position: absolute; top: 613.5px; width: 1px;">したがって、2度や3度の重ねにより、6つの新しいテトラコードを9つの主要なテトラコードに加え、合計15となる。以下に新しい6つを示す。</span>