• 沒有找到結果。

Chapter 3 Language-to-Music Mapping: Onset Cluster

3.7 Summary

Both (69b) and (70b) are ruled out by *PROSST, as they preserve the prosodic words in the output. On the other hand, (69c) and (70c) are eliminated by ID-ASSOC, since the association lines are changed.

3.7 Summary

The mapping of an onset cluster from the linguistic input to the linguistic output involves interactions between segmental faithfulness and markedness, as well as prosodic alignment. Two output variants are observed: LO1 is monosyllabic and faithful, while LO2 is disyllabic, with a vowel inserted to resolve the onset cluster. I have proposed a set of relevant constraints, which are subject to flexible rankings, as illustrated by the Hasse diagrams in (71-72).

(71) LI-to-LO1 mapping: ()

ALIGN-E (LEX, ) DEP-V MAX-C

*CC

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(72) LI-to-LO2 mapping: ()

ALIGN-E(LEX, ) *CC MAX-C

DEP-V

In the mapping to the musical input, the two linguistic outputs (LO1 and LO2) are assigned with one or two musical beats, as in (73).

(73) LO1-to-MI Mapping:  (♩, ♩♩) LO2-to-MI Mapping:  (♩, ♩♩)

In spite of the fact that there are two constraint rankings in the LI-to-LO mapping, the perception grammar in the LO-to-MImapping lies in a single constraint ranking, as in (74).

(74) LO-to-MI mapping

NOSTRAY MAX-C

DEP-V ALIGN-R(♩, )

NOSHARE-B NOSHARE-σ

The mapping between the musical input (MI) and the musical output (MO) is governed by three constraints, ID-ASSOC,*PROSST,and MAX-PROSST, as illustrated in tableaux (69-70), where the optimal outputs preserve the musical beat association but remove the constructions of the prosodic word.

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Chapter 4

Language-to-Music Mapping: Coda Cluster

4.1 Introduction

This chapter continues to discuss the Mandarin-accented English in reading and singing, with a focus on coda clusters. Again, the segmental changes are examined in both the linguistic mapping and the language-to-music mapping. Unlike the onset clusters, the English coda clusters collected encounter the sonority sequencing principle (SSP). The segmental changes in relation to the coda clusters further support the argument for the separation of the perception grammar and the production grammar. Again, the linguistic output, the English words read by the Mandarin speakers, is perceived as the musical segmental input for singing. There are two linguistic output variations of the monosyllabic syllables with coda clusters.

Linguistic output1 preserves the coda cluster and remains monosyllabic. Linguistic output2 involves vowel insertion so that the syllable surfaces with two syllables. The linguistic outputs are formed into prosodic words. Both of the linguistic outputsare respectively assigned with one and two musical beats. This chapter looks closely into how musical beat assignment affects the segmental changes and how the SSP and prosodic wordhood restrict the musical beat assignment in the musical input.

4.2 Data Design

The target monosyllabic words are designed to compare segmental changes of coda clusters in linguistic mappings and language-to-music mappings. The informants are the same as those mentioned in Chapter 3. They are asked to read and sing the

assigned target words that contain coda clusters. Section 4.2.1 introduces the reading forms of the informants while 4.2.2 examines their singing forms.

4.2.1 Step 1: Reading

The target words contain coda clusters selected with different combinations of consonants on the sonority scale so that the influence of the Sonority Sequencing Principle (SSP) can be observed. The SSP is introduced by Sievers (1881) and Jespersen (1904). They propose that more sonorous segments stand closer to the syllable peak than syllables that are less sonorous. Carr (1993), and Broselow and Finer (1991) list the stop and fricative as separate classes. As shown in (75), stop is the least sonorous, while glide is the most sonorous.

(75) Sonority scale

The data in (76) are examples of the target words.

(76) Target words with coda clusters

SSP Example target words

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d. stop+stop 1 1 /ækt/

‘act’

/kɛpt/

‘kept’

The coda segment that is closer to the peak is more sonorous than the one that is further away from the peak. The codas in (76a, b) conform to the SSP, while those in (76c, d) violate the SSP; both /kt/ and /pt/ are stop-stop strings.

In the first step, the informants are asked to read the target words, as initiated in (77-80). There are two kinds of linguistic outputs. One preserves the coda cluster, while the other resolves the coda cluster by inserting a vowel.

(77) Target word: soft Output: [sɔft], [sɔftə]

(78) Target word: mind

Output: [maɪnd], [maɪndə]

(79) Target word: act Output: [ækt], [æktə]

(80) Target word: kept Output: [kɛpt], [kɛptə]

(77-80) show the variation in reading the coda clusters, which is schematized in (81).

(81) Linguistic input Linguistic output

(ækt) Linguistic output1 (σ) /ækt/ ‘act’

(æktə) Linguistic output2 (σσ)

As in (81), the linguistic outputs are in form of prosodic words (). The linguistic input, /ækt/, yields either (ækt) or (æktə) in the output. Linguistic output1 preserves

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the coda cluster and remains monosyllabic, whereas linguistic output2 inserts a vowel and becomes disyllabic.

(82) Statistics of the linguistic outputs

The table in (82) shows the mapping between the linguistic input and the linguistic output. There are 150 syllables with coda clusters. 129, or 86%, of them surface with coda clusters and the syllable number remains one. 21, or 14%, of them insert a vowel and the syllable number is changed into two. This shows that most informants tend to preserve the coda clusters.

4.2.2 Step 2: Singing

In step 2, the informants sing the linguistic outputs they produce in step 1. As mentioned in 4.2.1, there are two kinds of linguistic outputs, namely, linguistic output1 and linguistic output2. Each of the linguistic outputs is respectively assigned with one and two with beats in the language-to-music mapping. Take (ækt) for example.

(83) Linguistic output1 (σ) to singing mapping Linguistic output1 (ækt)

3 The target words may have onset, for example, mind [maɪnd]. However, since onset is not the focus in this chapter, nuclei and codas are shown only.

Linguistic input Linguistic output1 Linguistic output2 Total VCC3 (VCC) (129/86%) (VCCV) (21/14%) 150(100%)

a. Singing output b. Singing output ækt

q

æktə

∣∣

q q

(83a), the singing output surfaces as [ækt], where no vowel insertion occurs. On the other hand, when linguistic output1, (ækt), is assigned with two musical beats, as in (83b), the singing output surfaces as [æktə], where a vowel is inserted. The prosodic word structures are removed in both of the singing outputs.

(84) Statistics of the linguistic output1 (σ) to singing mapping

Linguistic output1 Singing output (q) Singing output (q q)

(VCC) respectively assigned with one and two musical beats. When they are associated with one musical beat, 121, or 93.8%, of them surface as VCC (σ). When they are associated with two musical beats, 87, or 66.7%, of them still surface as VCC (σ).

Consider the output2 mapping, as in (85).

(85b), the singing output is still [æktə], where each syllable is linked to one musical beat respectively. The structure of the prosodic word is removed in the singing output.

(86) Statistics of the linguistic output2 (σσ) to singing mapping

Linguistic output2 Singing output (q) Singing output (q q)

(VCCV)

The table in (86) shows that there are totally 21 linguistic output2 in the database.

When they are associated with one musical beat, 17, or 81%, of them are sung as two syllables. When they are associated with two beats, 18, or 85.7%, of them are still sung as two syllables.

4.3 Language-to-music Mapping

The model I proposed in (46) of Chapter 3 is applicable here. The monosyllabic input yields two linguistic outputs, which are parsed into prosodic words. Each of the outputs is assigned with one and two musical beats. Linguistic output1 is read with one syllable, where no vowel is inserted. Linguistic output2 is read with two syllables, where a vowel is inserted to resolve the coda cluster.

The mapping from the linguistic output to the musical input demonstrates a need for the perception grammar. The linguistic outputs are perceived as the musical inputs, and assigned with one and two musical beats. The prosodic word structure,

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which may affect beat assignment, is shown in the musical input. When linguistic output1 is associated with one musical beat, the coda cluster is preserved and the syllable remains monosyllabic. When linguistic output1 is assigned with two musical beats, a vowel is inserted and the syllable becomes disyllabic. On the other hand, linguistic output2 remains disyllabic, regardless of the number of the musical beat assigned. Finally, the musical inputs are mapped to the musical outputs, where the prosodic word structure is removed.

4.4 L

I

-to-L

O

Mapping: Production Grammar

This section analyzes the linguistic input (LI) to the linguistic output (LO) mapping under the framework of Optimality Theory (Prince and Smolensky 1993/2004). There are two linguistic outputs. One is with vowel insertion and the other is without vowel insertion. Take /ækt/ ‘act,’ for example. The output of /ækt/ can be either (ækt)or (æktə). Since a word like (æ kt) violates the SSP, the constraint in (87) is thus relevant.

(87) SSP:

Assign one violation mark for every syllable whose coda does not rise in sonority toward the nucleus, or whose coda does not decrease in sonority from the nucleus.

This constraint is ranked relatively low so that (æ kt) can surface. Adding this constraint to the constraint rankings proposed in Chapter 3, the two output variants can be evaluated through the tableaux in (88-89).

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(88) LI-to-LO mapping: output1, (ækt) /ækt/ ‘act’ ALIGN-E

(LEX, )

MAX-C DEP-V SSP *CC

 a. (ækt) * *

b. (æktə) *!

c. (æk) *!

d. ækt *! * *

In tableau (88), MAX-C and DEP-V are ranked higher than *CC so that (ækt)will not be eliminated. (88b) inserts a vowel and incurs a fatal violation of DEP-V,so it is ruled out. (88c) deletes a consonant, and thus is ruled out by MAX-C. The candidate in (88d) is not a prosodic word, fatally violating ALIGN-E (LEX, ). (88a) is thus selected as the optimal output, in sacrifice of the SSP.

(89) LI-to-LO mapping: output2, (æktə) /ækt/ ‘act’ ALIGN-E

(LEX, )

MAX-C *CC SSP DEP-V

a. (ækt) *! *

 b. (æktə) *

c. (æk) *!

d. ækt *! * *

As in (89), *CCis ranked higher than DEP-V. (89a) preserves the coda cluster [kt], which is ruled out by *CC.(89c) deletes [t], and thus is ruled out by MAX-C. (89d) is not a prosodic word, and thus is ruled out by ALIGN-E (LEX, ). (89b) thus emerges.

The constraint rankings for the linguistic input-to-output production grammar are summarized in (90).

(90) Linguistic input to linguistic output production grammar

a. Output1: [ækt]→ (ækt) ALIGN-E(LEX, ), MAX-C, DEP-V >> SSP >> *CC

b. Output2: [ækt]→ (æktə) ALIGN-E(LEX, ), MAX-C, *CC>>SSP >> DEP-V

In either ranking above, the SSP is not crucial.

4.5 L

O

-to-M

I

Mapping: Perception Grammar

4.5.1 Lo

1

-to-M

I

Mapping

This section examines the monosyllabic linguistic output1 (LO1) to the musical input (MI) mapping. LO1 is perceived as the musical segmental input and is respectively assigned with one and two musical beats. I first discuss the case that LO1

is assigned with one musical beat. Given the constraints posited in Chapter 3 with the addition of the SSP, the coda cluster mapping is illustrated in tableau (91), where the bottom-ranked constraints are omitted due to the limited space.

(91) LO1-to-MI mapping: coda cluster (♩)

violation of NOSTRAY. (91c) deletes a consonant to satisfy the SSP, but violates the higher-ranked MAX-C. (91d) is ruled out by DEP-V with an insertion of [ə].

ALIGN-R(♩, ) is inactive here because there is only one musical beat and one syllable.

Eventually, (91a) emerges.

However, this constraint ranking selects the wrong output in tableau (92).

(92) LO1-to-MI mapping: coda cluster (♩♩) indicated by the parenthesized right-head () symbol. (92c) is incorrectly selected as the optimal output, as indicated by the black right-head  symbol. In order to select the correct output, I posit the conjoined constraint in (93).

Assign one violation mark for every syllable that contains complex coda and is shared by two musical beats, ♩♩.

The unconjoined NOSHARE-σ and *CCCODA are ranked at the bottom. When NOSHARE-σ and *CCCODA are conjoined, the constraint ranking is substantially promoted. The purpose of the local conjunction is to rules out the worst of the worst output, which is called the WOW effect (Green 1993; Smolemsky 1993, 1995;

Moreton & Smolensky 2002, among others). The conjoined NOSHARE-σ & *CCCODA is violated only when both NOSHARE-σ and *CCCODA are violated. This constraint

enabled to surface. It should be noted that when a monosyllabic syllable with an onset cluster like (blu) is assigned with two musical beats, its surface form is still (blu); since it does not have a complex coda, the conjoined constraint NOSHARE-σ &

*CCCODA would be irrelevant.

4.5.2 Lo

2

-to-M

I

Mapping

This section discusses the mapping from linguistic output2 (LO2) to the musical input (MI). The disyllabic LO2 is linked to either one or two musical beats in MI. When

violation of DEP-V. However, (æ ktə) in (95a) is selected as the optimal output in that there is already an inserted vowel, and it does not violate DEP-V. Both (95d) and (95e) are ruled out by SSP. (95b) has an unassociated syllable and an unassociated musical beat, and is ruled out by NOSTRAY. In (95c), [t] is deleted and fatally violates MAX-C.

When the LO2, (æ ktə), is assigned with two musical beats, it is still mapped to the disyllabic (æ ktə),where each syllable is linked to one musical beat, as in (96).

(96) LO2-to-MI mapping: coda cluster (♩♩) LO2: (æ ktə) MI:(æ ktə)

  ♩ ♩

In (96c), two musical beats are linked to a closed syllable with a complex coda, which is ruled out by the conjoined NOSHARE-σ & *CCCODA. (96b) is ruled out byNOSTRAY, and (96d) by MAX-C. Eventually, (96a) emerges as the optimal output.

(æ ktə)

musical beat association but removes the prosodic structure such as a prosodic word.

Given the constraints posited in Chapter 3, tableau (97-99) show how these constraints compete with each other.

(97) MI-to-MO mapping: coda cluster (/♩)

In (97-99), candidates (b) are ruled out by *ProsSt, as they preserve the prosodic word in the output, and candidates (c) by ID-ASSOC, since the association lines are changed.

It should be noted that when (æ kt) of LO1 and (æ ktə) of LO2 are assigned with two musical beats, both emerge as (æ ktə) in MI, i.e., as the input in (99).

4.7 Summary

The mapping of a coda cluster also yields two linguistic outputs: LO1 is monosyllabic and faithful, while LO2 is disyllabic, with a vowel inserted to resolve the coda cluster. I have added the SSP to the set of constraints posited in Chapter 3, and the constraint rankings are enriched as in (100-101).

(100) LI-to-LO1 mapping: ()

ALIGN-E(LEX, ) DEP-V MAX-C

SSP

*CC

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(101) LI-to-LO2 mapping: ()

ALIGN-E(LEX, ) *CC MAX-C

SSP

DEP-V

In the LI-to-LO mapping, there are two constraint rankings yielding two linguistic outputs, but in the LO-to-MI perception grammar, there is only a single constraint ranking, as in (102), where I have observed the influence of SSP on the insertion of vowels in singing.

(102) LO-to-MI Mapping

NOSTRAY MAX-C NOSHARE-σ & *CCCODA

DEP-V

SSP

ALIGN-R(♩, )

NOSHARE-B NOSHARE-σ

As posited in Chapter 3, the constraints ID-ASSOC, *PROSST, and MAX-PROSST serve to map between the musical input (MI) to the musical output (MO). The musical output preserves the musical beat association but removes the structure of the prosodic word.

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Chapter 5

Language-to-Music Mapping: Foot and Musical Beat Assignment

5.1 Introduction

Previous studies (Fang and Su 2005, Li 2009) have found that Mandarin children’s song values the rhythmic correspondence between lyric and song, which facilitates Mandarin learning of children. In terms of the connection between lyric and song, this chapter examines the language-to-music mapping of rhythmic structures in Mandarin children’s songs with a focus on the foot.

The mapping schema provided in Chapter 3 is also applicable here, which is reproduced below.

(103) Language-to-music mapping: rhythm

The syntactic structure of the lyrics in the linguistic input yields the prosodic structure in the linguistic output through the production grammar. The linguistic output is then mapped to the musical input through the perception grammar. The prosodic structure

Linguistic input

Production grammar Linguistic output

Perception grammar

Musical input

Production grammar

Musical output

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in the musical input serves to condition the musical beat assignment, but is removed in the musical output through the musical production grammar.

This study constructs a database of Mandarin children’s songs based on five lyric books that contain thirty-nine songs.4 These books are for children from zero to eight years old, and the lyrics are simple and close to children’s daily lives. The songs in the abovementioned books are new songs, but not traditional songs. The composing of the musical melodies is based on existing lyrics.

This chapter discusses three questions of the language-to-music mapping. First, how is a foot formed in the linguistic output? Second, how does the structure of the foot affect the assignment of musical beats? Finally, how does the musical structure emerge in the musical output?

5.2 L

I

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O

Mapping: Foot Formation

Along the lines of Shih (1986) and Hsiao (1991), I consider the structure of the prosodic foot is formed in the linguistic output on four conditions. First, a pair of syllables that are ICs constitutes a binary foot. Second, adjacent syllables are paired into a disyllabic foot. Third, unparsed monosyllable joins its adjacent foot to form a bigger foot.

Finally, two adjacent syllables that syntactically branch in the opposite direction cannot form a foot.

A couple of trisyllabic examples are given in (104).

4 The five books are zao an wan an 早安晚安,xiao yu di 小雨滴, xiao hou zi 小猴子, and 1234 dong dong ti cao 1234 動動體操. One traditional song is included in one of the books, and is excluded from the database because it is not clear whether the lyrics or the music is composed first.

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(104) (a) ‘Hold a knife.’ (b) ‘Cut a pomelo.’

In (104), dao-zi and you-zi form two binary feet first. The leftover monosyllables, na and qie, then join the existing binary feet to form trisyllabic feet respectively.

Consider the first two syllables in (105).

(105) ‘(He) loves to somersault when (he) has nothing to do all day long.’

As in (105), after the three pairs of ICs, zheng-tian, mei-shi, and gen-tou, form binary feet, the adjacent unparsed syllables, ai and fan, are paired into a disyllabic foot.

Unlike ai and fan, the adjacent syllables, li and you, in (106) cannot form a foot, since they branch in the opposite direction.

拿 刀 子 切 柚 子

na dao - zi qie you - zi

Hold knife cut pemelo

∣ ∣f ∣ ∣f

∣ ∣f ∣ ∣f

整 天 沒 事 愛 翻 跟 頭

zheng-tian mei-shi ai fan gen-tou

whole day nothing-to-do love turn somersault

∣ ∣f∣ ∣f ∣ ∣f

∣ ∣f

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(106) ‘There is a big caterpillar in a big apple.’

In (106), ping-guo and mao-mao are ICs, and thus they are grouped into disyllabic feet respectively. At this point, li and you syntactically branch in the opposite direction so that they cannot form a foot; the unparsed you and da are then paired into a disyllabic foot.

The leftover monosyllables, da, li and chong, subsequently join the adjacent existing feet to trisyllabic and tetrasyllabic feet.

Foot constraints governing the foot formation are proposed in (107-110), based on the concepts developed in work by Shih (1986), Hsiao (1991), and Lin (2001).

(107) Align-E(IC, Ft):

Assign one violation mark for every pair of syllables that are ICs whose edges do not coincide with the edges of a foot.

(108) FtBin:

Assign one violation mark for every foot that contains more than two syllables.

(109)*MONO-FT:

Assign one violation mark for every monosyllabic foot in the output.

大 蘋果 裡 有 大 毛毛 蟲 da ping-guo li you da mao-mao chong

big apple inside have big caterpillar

∣ ∣f ∣ ∣f ∣ ∣f

∣ ∣f ∣ ∣f

∣ ∣f

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(110) Parse-σ:

Assign one violation mark for every syllable that is not parsed into any foot in the output.

The constraints Parse-σ and *MONO-FT must be undominated to ensure that every syllable is parsed into a foot but not a monosyllabic foot. Align-E(IC, Ft) is also ranked at the top to match IC edges with foot edges. FtBin is ranked at the bottom, such that a trisyllabic or larger foot can occur. A partial constraint ranking is posited in (111).

(111) LI-to-LO partial constraint ranking:

Parse-σ, Align-E(IC, Ft), *MONO-FT >> FtBin

Tableau (112) shows how this constraint ranking works.

(112) = (104)

Input: [na [dao-zi]NP]VP [qie [you-zi]NP]VP

拿 刀 子 切 柚 子 Hold knife cut pomelo ‘Hold a knife and cut a pomelo.’

Candidates:

a. (na (dao-zi)Ft)Ft (qie (you-zi)Ft)Ft

b.

na (dao-zi)

Ft)Ft (qie (you-zi)Ft)Ft

c. (na dao)Ft (-zi qie)Ft (you-zi)Ft

d. (na)Ft (dao-zi)Ft (qie (you-zi)Ft)Ft

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LI-to-LO: Parse-σ, Align-E(IC, Ft), *MONO-FT >> FtBin Parse-σ Align-E(IC, Ft) *MONO-FT FtBin

 a. **

b. *! *

c. *!

d. *! *

The footing pattern in (112b) is ruled out by Parse-σ, as na is left unfooted. The pair of the ICs, dao and zi, in (112c) is not aligned with any foot, incurring a fatal violation of Align-E(IC, Ft). The monosyllabic foot, na, in (112d) violates *MONO-FT, and thus is ruled out. As a consequence, (112a) is chosen as the optimal output.

The constraint ranking in (111) also correctly predicts that the fifth and sixth syllables in (113) form a disyllabic foot.

(113) = (105)

Input: [[zheng-tian]ADV[mei-shi]VP [ai [ fan [gen-tou]NP]VP]VP 整 天 沒 事 愛 翻 跟 頭

whole day nothing-to-do love turn somersault

‘(He) loves to somersault when (he) has nothing to do all day long.’

Candidates:

a. (zheng-tian)Ft (mei-shi)Ft (ai fan)Ft (gen-tou)Ft b. (zheng-tian)Ft (mei-shi)Ft ai (fan (gen-tou)Ft)Ft c. (zheng-tian)Ft (mei-shi)Ft (ai)Ft (fan (gen-tou)Ft)Ft d. (zheng-tian)Ft (mei-shi)Ft (ai)Ft (fan gen-tou)Ft

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LI-to-LO: Parse-σ, Align-E(IC, Ft), *MONO-FT >> FtBin Parse-σ Align-E(IC, Ft) *MONO-FT FtBin

 a.

b. *! *

c. *! *

d. * (!) * (!) *

Again, (113b) violates Parse-σ, as ai is not parsed into any foot, whereas ai in (113c-d) constitutes a foot alone and violates *MONO-FT. The left edge of the pair of the ICs, gen and tou in (113d) is not aligned with the left edge of a foot, and thus is ruled out by Align-E(IC, Ft). Finally, (113a) emerges.

The same constraint ranking, however, renders an incorrect prediction in tableau (114).

(114) = (106)

Input: [[da [ping-guo]NP]NP

li]

PP [you [da [[mao-mao] chong]NP]NP]VP, 大 蘋 果 裡 有 大 毛 毛 蟲

big apple inside have big caterpillar

‘There is a big caterpillar in a big apple.’

Candidates:

a. (((da (ping-guo)Ft)Ft

li)

Ft (you da)Ft ((mao-mao)Ft chong)Ft

b. (da (ping-guo)Ft)Ft (li you)Ft (da (mao-mao)Ft chong)Ft

c. (da (ping-guo)Ft

li)

Ft you (da ((mao-mao)Ft chong)Ft)Ft

d. (da ping-)Ft (guo li) Ft (you (da ((mao-mao)Ft chong)Ft)Ft

e. (da (ping-guo)Ft

li)

Ft (you (da ((mao-mao)Ft chong)Ft)Ft)Ft

f. ((da (ping-guo)Ft)Ft li)Ft (you)Ft (da ((mao-mao)Ft chong)Ft)Ft

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LI-to-LO: Parse-σ, Align-E(IC, Ft), *MONO-FT >> FtBin

Parse-σ Align-E(IC, Ft) *MONO-FT FtBin

() a. ***!

 b. **

c. *! ***

d. *! ***

e. ***!*

f. *! ***!*

The foot structure in (114b) erroneously wins over (114a) by one less violation of FtBin, as indicated by the black right-headed hand symbol . The real optimal output is

The foot structure in (114b) erroneously wins over (114a) by one less violation of FtBin, as indicated by the black right-headed hand symbol . The real optimal output is