GCSE WJEC Music: Formula & Theorem Quick Reference Handbook | GCSE WJEC 音乐：公式定理速查手册

📚 GCSE WJEC Music: Formula & Theorem Quick Reference Handbook | GCSE WJEC 音乐：公式定理速查手册

Music may not have equations in the mathematical sense, but it is built on a rich set of fixed patterns, structural rules and theoretical ‘formulas’ that govern melody, harmony, rhythm and form. For GCSE WJEC Music, mastering these reusable building blocks is essential for listening analysis, composing and appraising. This quick reference handbook brings together all the key musical formulas, conventions and templates you need to know, presented as clear English-Chinese paired explanations so you can revise effectively and feel confident in the exam hall.

音乐虽然不像数学那样拥有方程式，但它建立在丰富的固定模式、结构规则和理论“公式”之上，这些规则支配着旋律、和声、节奏与曲式。对于 GCSE WJEC 音乐而言，掌握这些可复用的基本构件对听力分析、作曲和评价都至关重要。本速查手册汇集了所有你需要了解的关键音乐公式、惯例和模板，以清晰的中英配对解释呈现，助你高效复习，自信应考。

1. Scale Formulas | 音阶公式

Every scale is defined by a specific sequence of tones (T) and semitones (S). The major scale formula reads T-T-S-T-T-T-S. Starting on any note, this pattern will produce a major scale. For example, C major: C-D (T), D-E (T), E-F (S), F-G (T), G-A (T), A-B (T), B-C (S).

每条音阶都由特定的全音 (T) 与半音 (S) 序列定义。大调音阶的公式为 T-T-S-T-T-T-S。从任意音开始，遵循这个模式就能得到一个大调音阶。例如 C 大调：C-D (T)、D-E (T)、E-F (S)、F-G (T)、G-A (T)、A-B (T)、B-C (S)。

The natural minor scale follows T-S-T-T-S-T-T. The harmonic minor raises the 7th degree by a semitone, creating an augmented second (A2) between the 6th and 7th notes – a distinctive sound in many exam pieces. The melodic minor ascending raises both the 6th and 7th degrees; descending, it reverts to the natural minor formula.

自然小调遵循公式 T-S-T-T-S-T-T。和声小调将第7级音升高半音，使得第6级与第7级之间产生一个增二度 (A2) ——这一特色音响常出现在考试曲目中。旋律小调上行时同时升高第6和第7级音；下行时则恢复自然小调的排列。

The blues scale, essential for WJEC’s popular music topics, is built by adding a flattened 5th (the ‘blue note’) to a minor pentatonic scale: 1, b3, 4, b5, 5, b7. Pentatonic formulas themselves (major: 1, 2, 3, 5, 6; minor: 1, b3, 4, 5, b7) are crucial for analysing folk and world music extracts.

蓝调音阶对 WJEC 流行音乐课题至关重要，它在小调五声音阶基础上加入了一个降5级音（“蓝调音”）：1、b3、4、b5、5、b7。五声音阶公式本身（大调五声：1、2、3、5、6；小调五声：1、b3、4、5、b7）也是分析民间与世界音乐选段的核心。

2. Chord Construction Formulas | 和弦结构公式

A major triad is built from a root, a major third (4 semitones) and a perfect fifth (7 semitones). A minor triad flattens the third: root, minor third (3 semitones), perfect fifth. Diminished triads stack two minor thirds (root, m3, dim5); augmented triads stack two major thirds (root, M3, aug5).

大三和弦由根音、大三度（4个半音）和纯五度（7个半音）构成。小三和弦则将三音降低半音：根音、小三度（3个半音）、纯五度。减三和弦叠加两个小三度（根音、小三度、减五度）；增三和弦叠加两个大三度（根音、大三度、增五度）。

Seventh chords add a fourth note. The dominant 7th formula: root, M3, P5, m7 (e.g. G-B-D-F). The major 7th uses root, M3, P5, M7. The minor 7th: root, m3, P5, m7. The half-diminished 7th: root, m3, dim5, m7. Inversions are shown with slash notation: V⁶₅, V⁴₃, V⁴₂ – these figures indicate intervals above the bass note.

七和弦增加了第四个音。属七和弦公式：根音、大三度、纯五度、小七度（如 G-B-D-F）。大七和弦：根音、大三度、纯五度、大七度。小七和弦：根音、小三度、纯五度、小七度。半减七和弦：根音、小三度、减五度、小七度。转位用斜杠标记或数字低音表示：V⁶₅、V⁴₃、V⁴₂——这些数字代表低音上方音程。

In WJEC scores, you may encounter guitar chord symbols. ‘C’ means C major triad, ‘Cm’ is C minor, ‘C⁷’ is dominant 7th, ‘Cmaj⁷’ is major 7th, ‘Cdim’ is diminished, ‘Caug’ is augmented. Slash chords like C/E indicate a first inversion (E in the bass).

在 WJEC 乐谱中，你可能见到吉他式和弦标记。“C”代表 C 大三和弦，“Cm”为 C 小三和弦，“C⁷”是属七和弦，“Cmaj⁷”是大七和弦，“Cdim”为减三和弦，“Caug”为增三和弦。像 C/E 这样的斜线和弦则表示第一转位（低音为 E）。

3. Common Chord Progressions | 常见和弦进行公式

The most foundational progression, applicable to Baroque, Classical and pop music, is I-IV-V-I. The subdominant (IV) and dominant (V) create tension that resolves back to the tonic (I). In minor keys, iv-V-i is equally powerful, often using the harmonic minor’s raised 7th.

最基础的进行，适用于巴洛克、古典及流行音乐，是 I-IV-V-I。下属和弦 (IV) 与属和弦 (V) 制造张力，最终解决回到主和弦 (I)。在小调中，iv-V-i 同样有力，常借助和声小调的升VII级音。

The ’50s progression I-vi-IV-V (e.g. C-Am-F-G) underpins countless rock and roll, doo-wop and pop songs. The vi chord provides a smooth descending third from the tonic. The jazz-influenced ii-V-I (supertonic-dominant-tonic) is an essential formula in swing, bebop and modern musical theatre extracts you might analyse.

“50年代进行” I-vi-IV-V（如 C-Am-F-G）支撑了无数摇滚、嘟·喔普和流行歌曲。vi 和弦提供了从主音向下的平滑三度。受爵士影响的 ii-V-I（上主-属-主）是摇摆乐、波普和现代音乐剧选段中可能需要分析的重要公式。

The 12-bar blues uses a fixed chord sequence: I (4 bars) | IV (2 bars) | I (2 bars) | V (1 bar) | IV (1 bar) | I (2 bars). This formula is often varied with a quick change to IV in bar two, or a turnaround such as V-IV-I at the end of the pattern. Recognising this structure instantly will help in the WJEC aural analysis paper.

4. Cadence Formulas | 终止式公式

A cadence is a two-chord formula that closes a phrase. The perfect cadence V-I sounds final and conclusive; the plagal cadence IV-I is the ‘Amen’ cadence, softer and often used at the end of hymns. The imperfect cadence ends on V (preceded by I, ii or IV), leaving the music open and expecting continuation.

终止式是收束乐句的两和弦公式。完全终止 V-I 听感完满且肯定；变格终止 IV-I 即“阿门”终止，较为柔和，常用于赞美诗结尾。不完全终止结束于V（前面可以是 I、ii 或 IV），让音乐保持开放，期待后续发展。

The interrupted cadence V-vi (or sometimes V-IV/vi in minor keys) suddenly avoids the expected tonic, creating a surprise. Composers use this formula to extend a piece or introduce a contrasting section. In exam listening, you may hear a deceptive move away from the dominant, followed later by a perfect cadence to restore stability.

阻碍终止 V-vi（小调中有时为 V-VI）突然避开预期的主和弦，产生意外感。作曲家运用这一公式来扩充乐曲或引入对比段。在考试聆听中，你可能会先听到离调式的阻碍进行，随后再出现完全终止恢复稳定。

5. Melodic Development Formulas | 旋律发展公式

Sequence is the repetition of a melodic fragment at a higher or lower pitch. A rising tonal sequence keeps the pattern within the key; a real sequence transposes the intervals exactly. Sequences add forward momentum and are easily identified in Baroque concertos and Classical development sections.

模进是将一个旋律片段在更高或更低的音高上反复。调性模进保持在调内进行；完全模进则精准地移调音程。模进带来向前推进的动力，在巴洛克协奏曲和古典展开部中很容易辨认。

Inversion flips the direction of intervals – an ascending step becomes a descending step, and vice versa. Retrograde plays the melody backwards. These transformational formulas, used by Bach and Webern alike, can be observed in WJEC set works or unfamiliar score excerpts.

倒影翻转了音程方向——上行级进变成下行级进，反之亦然。逆行则倒序演奏旋律。这些变形公式被巴赫和韦伯恩等作曲家使用，也可能出现在 WJEC 指定作品或不熟悉的乐谱片段中。

Augmentation lengthens the note values (often doubled), while diminution shortens them. Fragmentation breaks a theme into smaller motifs that are developed independently. Ornamentation formulas – trill, turn, mordent, appoggiatura, acciaccatura – are also essential in the study of Baroque and Classical music.

增值拉长时值（通常加倍），减值则缩短时值。分裂将主题打散为更小的动机并独立发展。装饰音公式——颤音、回音、波音、倚音、短倚音——同样在巴洛克和古典音乐的学习中必不可少。

6. Rhythmic Patterns & Time Signatures | 节奏模式与拍号

Simple time signatures (2/4, 3/4, 4/4) divide each beat into two equal parts. Compound time (6/8, 9/8, 12/8) divides beats into three, giving a dotted-crotchet pulse. Syncopation shifts accents onto weak beats or between beats, typical of ragtime, jazz and Latin American styles featured in the WJEC specification.

单拍子（2/4、3/4、4/4）将每拍均分为二等分。复拍子（6/8、9/8、12/8）每拍三等分，以附点四分音符为律动单位。切分音将重音转移到弱拍或拍点之间，在拉格泰姆、爵士及拉丁美洲风格中十分典型，这些风格常出现在 WJEC 考纲中。

Key rhythmic building blocks include the Scotch snap (inverted dotted rhythm, semiquaver-dotted quaver), the Lombard rhythm, triplet-based swing rhythms, and the hemiola (shifting from a 6/8 feel to a 3/4 feel). The habanera rhythm (dotted quaver, semiquaver, two quavers) is a fixed formula in many world music pieces.

关键的节奏构件包括苏格兰短促音（反附点节奏，十六分音符-附点八分音符）、伦巴第节奏、基于三连音的摇摆节奏，以及赫米奥拉比例（将 6/8 的感觉转变为 3/4）。哈巴涅拉节奏（附点八分音符、十六分音符、两个八分音符）在许多世界音乐乐曲中是固定公式。

7. Structure Formulas | 曲式结构公式

Binary form (AB) consists of two sections, usually each repeated. Ternary form (ABA) features a contrasting middle section followed by a return of the opening material – often da capo, meaning ‘from the beginning’. The minuet and trio is a classic ternary-form dance movement with a pair of repeats.

二部曲式 (AB) 由两个乐段组成，通常各自反复。三部曲式 (ABA) 具有对比性的中间部分，随后再现开篇素材——常用 da capo 表示“从头反复”。小步舞曲与三声中部就是带有反复的经典三部性舞曲乐章。

Rondo form (ABACA, or ABACABA) alternates a recurring theme with contrasting episodes. Theme and variations takes a main idea and alters it through changes in melody, harmony, rhythm, texture, timbre or tonality – a frequent choice for WJEC composing tasks and analysis in set works.

回旋曲式（ABACA 或 ABACABA）将一个反复出现的主题与不同插部交替。主题与变奏以一个核心乐思为基础，通过旋律、和声、节奏、织体、音色或调性上的变化进行发展——这是 WJEC 作曲任务与规定作品分析中的常见选择。

Sonata form (exposition, development, recapitulation) is the most substantial Classical formula. The exposition presents two contrasting themes in different keys, the development explores and transforms them, and the recapitulation restates both themes in the tonic key. A coda may round off the movement.

奏鸣曲式（呈示部、展开部、再现部）是最重要的古典公式。呈示部在不同调性上呈现两个对比主题，展开部对它们进行探索与变形，再现部则将两个主题都归回到主调上。尾声可能会完满地结束乐章。

Popular song structure often follows a pattern: intro, verse, chorus, verse, chorus, bridge (middle 8), chorus, outro. Recognising verse-chorus form, 32-bar AABA song form, and contrasting pre-chorus sections is essential for analysing music from the 1950s to the present day.

流行歌曲结构常遵循这样的模式：前奏、主歌、副歌、主歌、副歌、桥段（中间八小节）、副歌、尾声。识别主副歌形式、32小节 AABA 歌曲形式以及对比性的预副歌段，对于分析 1950 年代至今的音乐至关重要。

8. Texture Templates & Formulas | 织体模板与公式

Monophonic texture is a single unaccompanied melodic line; homophonic texture features a melody supported by chordal accompaniment. Polyphonic (or contrapuntal) texture consists of two or more independent melodic lines woven together. Melody and accompaniment is the most common homophonic formula in both Classical and pop music.

单音织体是一条没有伴奏的旋律线；主调织体以和弦伴奏支撑一条主旋律。复调（对位）织体则由两个或多个独立的旋律线条交织而成。旋律加伴奏是古典与流行音乐中最常见的主调织体公式。

Imitative polyphony appears when a melody is introduced in one part and then copied in another, as in a canon or fugue. The fugue formula involves a subject (main theme), answer (transposed subject), countersubject, episodes and stretto. An Alberti bass is a broken-chord accompaniment pattern (root-fifth-third-fifth), a hallmark of Classic-period elegance.

模仿式复调出现于一个声部引入旋律后，另一个声部加以模仿，如卡农或赋格。赋格公式包括主题、答题（移调的主题）、对题、间插段和紧接段。阿尔贝蒂低音是一种分解和弦伴奏型（根-五-三-五），是古典时期典雅风格的标志。

Antiphonal texture alternates between different groups of instruments or voices, creating spatial dialogue. In WJEC film and choral music analysis, you might encounter layered textures where multiple rhythmic or melodic strands coexist, each following its own ostinato formula.

应答轮唱织体在不同乐器组或声部之间交替进行，产生空间对话感。在 WJEC 电影音乐与合唱音乐分析中，你可能会遇到分层织体，其中多个节奏或旋律线条共存，每个都遵循自己的固定音型公式。

9. Expression Markings & Tempo Formulas | 表情记号与速度公式

Standard tempo markings from slowest to fastest: Largo (very slow and broad), Adagio (slow and stately), Andante (walking pace), Moderato (moderate), Allegro (fast, cheerful), Vivace (lively), Presto (very fast). Metronome marks give precise beats per minute – a formulaic conversion that ensures accurate interpretation.

标准速度术语由慢到快依次为：Largo（极慢而宽广）、Adagio（缓慢而庄严）、Andante（步行速度）、Moderato（中速）、Allegro（快板，欢快的）、Vivace（活泼的）、Presto（急板）。节拍器标记给出了精确的每分钟拍数——这种公式化的转换确保了演绎的准确性。

Dynamic formulas range from pianissimo (pp, very soft) to fortissimo (ff, very loud). Gradual changes include crescendo (gradually louder) and diminuendo/decrescendo (gradually softer). Sforzando (sfz) is a sudden, strong accent on a single note or chord.

力度公式从 pianissimo（pp，极弱）到 fortissimo（ff，极强）。渐变公式包括 crescendo（渐强）和 diminuendo/decrescendo（渐弱）。Sforzando (sfz) 是在单个音或和弦上突然加强的力度重音。

Articulation governs how notes are played. Legato (smooth and connected) is indicated by slurs; staccato (short and detached) by dots above or below notes; tenuto by horizontal lines meaning hold full value; accents by > marks. These signs form a visual language formula on the score, directly affecting character and phrasing in your appraising essay.

演奏法支配着音符的奏法。Legato（连奏，圆滑连接）用连线表示；staccato（断奏，短促分离）用音符上方或下方的圆点；tenuto 用横线表示，意为保持充分时值；重音用 > 记号。这些符号在乐谱上组成了视觉语言公式，直接影响评价论文中对性格和分句的讨论。

10. Key Relationships & Modulation Formulas | 调性关系与转调公式

Every major key has a relative minor (the sixth degree), and every minor key has a relative major (the third degree). The tonic major and tonic minor share the same keynote but different key signatures. Moving to these closely related keys is the most common modulation formula in tonal music.

每个大调都有一个关系小调（第六级），每个小调都有一个关系大调（第三级）。同主音大小调共享主音但调号不同。转到这些近关系调是调性音乐中最常见的转调公式。

The circle of fifths provides a formulaic map for modulations. Moving clockwise adds sharps (or removes flats), moving to the dominant key; anticlockwise adds flats (or removes sharps), moving to the subdominant key. Pivot chord modulation uses a chord that belongs to both the old and new key to make a smooth transition.

五度圈提供了转调公式化的地图。顺时针移动增加升号（或减少降号），转至属调；逆时针移动增加降号（或减少升号），转至下属调。共同和弦转调利用一个同时属于原调和新调的和弦来实现平滑过渡。

Chromatic modulation shifts directly between keys not closely related by using semitone movement. In romantic and film music, sudden enharmonic shifts (e.g. reinterpretation of a German augmented 6th as a dominant 7th) are dramatic devices. Parallel key shifts (C major to C minor) are another expressive formula.

半音转调通过半音移动直接在不属于近关系的调性之间转换。在浪漫派和电影音乐中，突然的等音转换（如将德国增六和弦重新解读为属七和弦）是戏剧性的手法。平行大小调转换（C大调转到C小调）是另一种表现性公式。

11. Timbre Formulas & Instrument Families | 音色公式与乐器家族

The standard symphony orchestra is divided into four families, each with a characteristic timbral formula. Strings (violin, viola, cello, double bass) can play arco (bowed) or pizzicato (plucked), and use techniques such as tremolo and con sordino (muted). The warmth of a string section is a staple of film underscore.

标准交响乐团分为四个家族，每个家族有其标志性的音色公式。弦乐组（小提琴、中提琴、大提琴、低音提琴）可演奏 arco（拉奏）或 pizzicato（拨奏），并使用颤音和 con sordino（加弱音器）等技巧。弦乐段的温暖音色是电影配乐的基础。

Woodwind (flute, oboe, clarinet, bassoon) offer distinct solo colours; the clarinet’s wide range and chameleon-like dynamic control is often exploited in orchestration. Brass (trumpet, French horn, trombone, tuba) provide power and brilliance, with horns often used for heroic or pastoral themes. Percussion is split into pitched (timpani, xylophone) and unpitched (snare drum, cymbals), providing rhythmic accent and colour.

木管组（长笛、双簧管、单簧管、大管）具有鲜明的独奏音色；单簧管宽阔的音域和变色龙般的力度控制常在配器中被充分利用。铜管组（小号、圆号、长号、大号）提供力量与辉煌，圆号常用于英雄或田园主题。打击乐分为有音高（定音鼓、木琴）和无音高（小军鼓、镲片），赋予节奏重音与色彩。

In world music, formulaic timbres define genres. The sitar and tabla are central to Indian classical music; the didgeridoo creates a drone formula in Aboriginal Australian music; the steel pan yields bright melodic patterns in Caribbean calypso. In WJEC exam questions, linking instrument choice to mood and tradition is a high-level analytical skill.

在世界音乐中，公式化的音色定义了体裁。西塔琴与塔布拉鼓是印度古典音乐的核心；迪吉里杜管在澳大利亚原住民音乐中制造持续低音公式；钢鼓在加勒比卡利普索中产生明亮的旋律型。在 WJEC 考题中，将乐器选择与情绪和传统联系起来是一项高级分析技能。

12. Historical Period ‘Formulas’ | 历史时期“公式”

Baroque music (1600–1750) relies on a basso continuo formula and a strong sense of motoric rhythm. Terraced dynamics (sudden shifts between loud and soft) replace gradual crescendos. Ornamented melody and contrapuntal textures, especially the fugue, are dominant. The harpsichord’s crisp attack is a timbral identifier.

巴洛克音乐（1600–1750）依赖通奏低音公式和强烈的动力性节奏。阶梯式力度（突然在强与弱之间切换）取代了渐强渐弱。装饰性旋律和对位织体，特别是赋格，占主导地位。羽管键琴清脆的触键是其音色标识。

The Classical era (c. 1750–1820) features balanced, periodic phrasing (often 4- or 8-bar phrases forming question-and-answer antecedents and consequents). The harmonic rhythm tends to be slower, with clear cadence points. Alberti bass, sonata form, and the predominance of homophonic texture are core formulas to listen for.

古典主义时期（约1750–1820）以平衡的周期性分句为特征（常为4或8小节组成的问答式前句与后句）。和声节奏趋向缓慢，终止点清晰。阿尔贝蒂低音、奏鸣曲式以及主调织体的主导地位是需要倾听的核心公式。

Romantic music (c. 1820–1900) pushes chromaticism to extremes, expands orchestras, and uses wide dynamic ranges. Expressive rubato (stolen time) and programmatic elements are typical. Leitmotif – a short, recurring musical idea representing a character or emotion – becomes a structural formula in opera and later film music, directly relevant to WJEC’s area of study on music for stage and screen.

浪漫主义音乐（约1820–1900）将半音化推向极致，扩大管弦乐队编制并运用宽广的力度范围。富有表现力的 rubato（弹性速度）和标题音乐元素十分典型。主导动机——一个代表人物或感情的短小、反复出现的音乐乐思——成为歌剧和后来的电影音乐中的结构公式，与 WJEC 关于舞台与银幕音乐的学习领域直接相关。

20th-century and contemporary formulas include the 12-bar blues, swing rhythms, syncopation-driven pop grooves, minimalism based on repetition and gradual phase shifting, and electronic manipulation. Serialism (the 12-tone row) treats the row as a generating formula: it can be used in its original, retrograde, inverted, and retrograde-inverted forms.

20世纪与当代音乐的公式包括12小节蓝调、摇摆节奏、以切分音为驱动的流行律动、基于重复与缓慢相位移动的极简主义，以及电子音乐处理手法。序列主义（十二音技法）将序列视作生成公式：它可使用原型、逆行、倒影和倒影逆行等形式。

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GCSE WJEC Music: Formula & Theorem Quick Reference Handbook | GCSE WJEC 音乐：公式定理速查手册