The Divine Office and Islamic Daily Prayer

This has strayed rather far from the original intent of my post. The subject is the practice of the Anglican Daily Office, using the Roman Catholic and Islamic cycle of prayers as a catalyst for the discussion. The purpose is neither to promote nor to denigrate any particular religious tradition. The Anglican Daily Office is in widespread disuse. More English-speaking Roman Catholic laypeople probably pray the Liturgy of the Hours on a regular basis today, than Anglicans pray the Daily Office. What are the similarities between the Anglican pattern and its Roman Catholic and Islamic counterparts? What are the differences? Do any of these things shed any light on how the practice of the Daily Office might be more effectively promoted within Anglicanism? The Islamic and Catholic daily cycles are polar opposites in many respects - one is obligatory, the other is optional; one is invariable, the other is not, etc. - so there are some pretty good contrasts of strengths and weaknesses from which a discussion of the Anglican system might benefit. Great Anglican spiritual writers like Martin Thornton have suggested that the Daily Office in this day and age should consist of few, if any, variable elements (similar to the Islamic pattern, though Thornton himself does not make this comparison). That is basically the Eastern Orthodox approach, but, in contrast to the Islamic cycle, Orthodox prayers are quite long and not easy to memorize. So, there's plenty here to work with in terms of making meaningful comparisons. But the issue is, how to promote the Daily Office, in light of other traditional approaches to the practice.