You were close:

word_type + point + gender + (1|speaker/item/repetition)

This translates to: repetition nested in item, nested in speaker.

For learning more on lme4 formulas check the in press paper by Bates et al. (published here as a vignette for lme4), this answer or this one.

You were close:

word_type + point + gender + (1|speaker/item/repetition)

This translates to: repetition nested in item, nested in speaker.

For learning more on lme4 formulas check the in press paper by Bates et al. (published here as a vignette for lme4), this answer or this one.

You were close:

word_type + point + gender + (1|speaker/item/repetition)

For learning more on lme4 formulas check the in press paper by Bates et al. (published here as a vignette for lme4), this answer or this one.

You were close:

word_type + point + gender + (1|speaker/item/repetition)

This translates to: repetition nested in item, nested in speaker.

For learning more on lme4 formulas check the in press paper by Bates et al. (published here as a vignette for lme4), this answer or this one.